Find the dimensions of a rectangular box of maximum volume suchthat the sum of the lengths of its 12 edges is 30 ft. (Let x, y,and z be the dimensions of the rectangular box.)(x, y, z) = (_______)

Answers

Answer 1

The dimensions of the rectangular box of maximum volume are (5, 5, 5) ft.

To find the dimensions of a rectangular box of maximum volume, we need to use the method of optimization. Let x, y, and z be the dimensions of the rectangular box. The sum of the lengths of its 12 edges is 30 ft, which means:

2x + 2y + 2z = 30
x + y + z = 15

The volume of the rectangular box is given by V = xyz. To find the maximum volume, we need to find the critical point(s) of V. We can use the method of Lagrange multipliers to do this. Let L = xyz + λ(x + y + z - 15), where λ is the Lagrange multiplier.

Taking partial derivatives of L with respect to x, y, z, and λ, we get:

dL/dx = yz + λ = 0
dL/dy = xz + λ = 0
dL/dz = xy + λ = 0
dL/dλ = x + y + z - 15 = 0

Solving these equations, we get:

x = y = z = 5
λ = -25

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Related Questions

Express 20g as a percentage of 1kg

Answers

Answer:

2% of 1kg

Step-by-step explanation:

20g/1kg x 100

= 20g/1000g x 100

1/50 x 100

=2

Therefore, 20g is 2% of 1kg

Hope it helps you

Answer:

2%

Step-by-step explanation:

1kg=1000g

=20/1000×100%

=2%

the larger the variance, the more the data are spread out from the mean. TRUE/FALSE?

Answers

The larger the variance, the more the data are spread out from the mean. This statement is true.

Variance is a statistical measure that quantifies how much the data values are spread out or dispersed from the mean (average) of the dataset. Specifically, it is the average of the squared differences between each data point and the mean.

A larger variance means that the data values are more spread out from the mean, because the squared differences between the data points and the mean are larger on average. This indicates that there is greater variability or diversity in the dataset, and the values are more widely distributed.

Conversely, a smaller variance means that the data values are closer together and closer to the mean. This indicates that there is less variability or diversity in the dataset, and the values are more tightly clustered around the mean.

So, in summary, a larger variance indicates that the data values are more spread out from the mean, while a smaller variance indicates that the data values are closer together and closer to the mean.

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asap i need help What is the volume of this object?

u3

asap i need help What is the volume of this object?u3

Answers

The volume of the given object which is rectangular prism is 60u³

The volume of object is given by the formula

Volume of rectangular prism = Length ×width ×height

Length is \(2\frac{1}{2}\) u

width is 2u

Height is 6u

Volume =  \(2\frac{1}{2}\) u×2u×6u

=5/2u×2u×6u

=60u³

Hence, the volume of the given object which is rectangular prism is 60u³

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The equations to this problem .

The equations to this problem .

Answers

Answer:

The answer would be the third one.

the answer to this problem is y=11/4

pls help!!!
if each quadrilateral below is a kite find the missing values.

pls help!!!if each quadrilateral below is a kite find the missing values.

Answers

The angles that make up a kite are 1, 2, 3, 4, 5, 6, and 7. Angle 1 is the interior angle between sides 1 and 2. Angle 2 is the interior angle between sides 2 and 3.

Angle 3 is the interior angle between sides 3 and 4. Angle 4 is the exterior angle between sides 4 and 1. Angle 5 is the interior angle between sides 1 and 3. Angle 6 is the exterior angle between sides 2 and 4. Angle 7 is the interior angle between sides 2 and 4.

What is angle?

An angle is a figure formed by two lines that meet at a common point. The lines are called the arms of the angle, and the common point is called the vertex. Angles are usually measured in degrees, with a full circle being 360°.

A kite is a four-sided geometric shape with two pairs of adjacent equal-length sides. The missing values for each angle in the kite can be calculated using the formula:

Angle 1 + Angle 2 + Angle 3 + Angle 4 + Angle 5 + Angle 6 + Angle 7 = 360 degrees

For example, if angle 1 is 60 degrees, then angle 2 = 120 degrees, angle 3 = 120 degrees, angle 4 = 60 degrees, angle 5 = 120 degrees, angle 6 = 60 degrees, and angle 7 = 60 degrees.

In general, the sum of the interior angles of a kite will equal 360 degrees, and each interior angle will be equal to the sum of the exterior angles. Therefore, if the values of four of the angles are known, the remaining angles can be calculated by subtracting the known angles from 360 degrees.

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Simplify the expression.
3q+
9
25+6n+
6
25+7q−4n

Answers

Answer:

2n+10q+65

Step-by-step explanation:

3q+9+25+6n+6+25+7q-4n

Reorder so all like terms are by each other.

6n-4n+3q+7q+9+6+25+25

Now combine those like terms.

2n+10q+15+50

2n+10q+65

That's as far as it goes.

-hope it helps

janine estimated that the square of 4.1 is approximately 16. Justify her estimate and then find the exact value

Answers

Answer:

16.81

Step-by-step explanation:

Given:

Number = 4.1

Find:

Square of the given number

Computation:

[4.1]²

⇒ [4.1] × [4.1]

16.81

If Janine square 4.1 by assuming (round off) 4 as an integer number then gets 16, which means Janine's estimate would be considered appropriate.

Heather added some items to a 20-pound package, increasing its weight by 15%. What was the new weight of the package?.

Answers

Answer:

23 pounds

Step-by-step explanation:

20 x 1.15 = 23

What is a measure of the differences of all observations from the mean, expressed as a single number

Answers

The measure of the differences of all observations from the mean, expressed as a single number is called the "standard deviation". It is a commonly used measure of the amount of variability or dispersion within a set of data.

The standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences between each observation and the mean.

It is expressed in the same units as the data itself, and provides a way to understand how spread out the data is from the average or mean value.

A small standard deviation indicates that the data points tend to be close to the mean, while a large standard deviation indicates that the data points are more spread out.

The standard deviation can be used to compare the variability of different sets of data, and can also be used in statistical tests to determine if the difference between two sets of data is statistically significant.

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Can someone help me solve these equations?
1. 2y^2+5Y+2 |
2. 5x^2-18x+9 |
3. 16b^2+60b-100 | 4.-6a^2-25a-25 |
5. 49x^2-14x+1 |
6. 81x^2-49

Answers

I will try my best to help. If these are quadratic equations, you would use the quadratic formula to solve the equations.
1.) y = -2, y = -1/2
2.) x = 6/10, x = 3
3.) b = 5/4, b = -5
4.) a = -5/3, a = -5/2
5.) x = 1/7
6.) x = 1/7, x =-1/7
If this does not help, comment what we need to solve (factor the equation, etc.)

determine the equation of the line perpendicular to y=5/2x+6/5 with the same x-interpret as the line defined by 3x+8y-15=0

Answers

Answer:

y = -2/5x+2

Step-by-step explanation:

The slope of the line perpendicular to the given line is the negative reciprocal of the slope of the given line. i.e, slope of the perpendicular line is -2/5

the x- intercept of 3x+8y-15=0 is determined by substituting zero for the value of y in the equation

3x + 8 *(0) -15 =0

3x-15 = 0

3x =15

x= 5

so, the point we need to find the equation of the line perpendicular to the equation y=5/2x + 6/5 is  (5,0)

we consider the slope-intercept equation

y = mx + b

0 = - 2/5 *(5) + b

0 = - 2 + b

b= 2

so, our equation is y = -2/5x+2

No need for an explanation it is option

No need for an explanation it is option

Answers

Answer:

II) 78

Step-by-step explanation:

2x - 6 + 7x + 15 = 90

9x + 9 = 90

9x = 81

x = 9

<ABC:

7x + 15

7(9) + 15

78

Answer and Step-by-step explanation:

To find the measure of angle ABC, we need to find what x is first. We accomplish this by adding together the two angles and setting it equal to 90.

2x - 6 + 7x + 15 = 90

Combine like terms.

9x + 9 = 90

Subtract 9 from both sides.

9x = 81

Divide both sides by 9.

x = 9

We get x to be 9.

Now, we can plug this in for angle ABC.

7(9) + 15

Multiply 7 and 9 together.

63 + 15

Add 63 and 15 together.

78

The measure of ABC is 78.

That means the answer is II) 78.

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1 3 1 2. The augmented matrix of a system of linear equations is given: , determine value(s) of k if 2 k - 2 (a) the system has no solution, (b) the system has one solution, (c) the system has infinit

Answers

The augmented matrix of a system of linear equations is given: , determine value(s) of k if 2 k - 2 if  the system has no solution there are no values of k that will make the system inconsistent.  The system has one solution for all values of k except k = 4.The system has infinitely many solutions if k = 0, a unique solution if k ≠ 0 and k ≠ 4, and no solutions if k = 4



To determine the value(s) of k for each case, we will perform row reduction on the augmented matrix and analyze the resulting echelon form.

1 3 1 | 0

2 k - 2 | 0

R2 - 2R1 -> R2

1 3 1 | 0

0 k - 4 | 0

Case (a): If k = 4, then the second row becomes all zeros except for the last entry, which means we have an inconsistent system with no solutions. If k ≠ 4, then we can use back-substitution to find the solution(s):

k - 4 = 0 => k = 4

Since this contradicts our assumption, there are no values of k that will make the system inconsistent.

Case (b): If k ≠ 4, then the echelon form shows that we have a leading coefficient in each row and the system has a unique solution. If k = 4, then the second row becomes all zeros except for the last entry, which means we have an inconsistent system with no solutions.

Case (c): If k = 0, then the second row reduces to 0 = 0, which means we have a free variable and infinitely many solutions. If k ≠ 0 and k ≠ 4, then the echelon form shows that we have a leading coefficient in each row and the system has a unique solution. If k = 4, then the system is inconsistent with no solutions.

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The red blood cell counts (in 10
5
cells per microliter) of a healthy adult measured on 6 days are as follows. 48,51,55,54,49,55 Find the standard deviation of this sample of counts. Round your answer to two decimal places. (If necessary, consult a list of formulas.)

Answers

The red blood cell counts (in 105cells per microliter) of a healthy adult measured on 6 days are as follows. 48,51,55,54,49,55The standard deviation of the sample of red blood cell counts is approximately 3.10.

To find the standard deviation of the sample of red blood cell counts, we can follow these steps:

Step 1: Find the mean (average) of the sample.

To find the mean, we add up all the counts and divide by the total number of counts:

Mean = (48 + 51 + 55 + 54 + 49 + 55) / 6 = 312 / 6 = 52.

Step 2: Find the deviation of each count from the mean.

Subtract the mean from each count to calculate the deviation:

48 - 52 = -4

51 - 52 = -1

55 - 52 = 3

54 - 52 = 2

49 - 52 = -3

55 - 52 = 3

Step 3: Square each deviation.

Square each deviation to eliminate negative values and emphasize differences:

(-4)^2 = 16

(-1)^2 = 1

3^2 = 9

2^2 = 4

(-3)^2 = 9

3^2 = 9

Step 4: Find the sum of the squared deviations.

Add up all the squared deviations:

16 + 1 + 9 + 4 + 9 + 9 = 48

Step 5: Divide the sum of squared deviations by (n-1).

To calculate the variance, divide the sum of squared deviations by the number of counts minus 1:

Variance = 48 / (6 - 1) = 48 / 5 = 9.6

Step 6: Take the square root of the variance.

To find the standard deviation, take the square root of the variance:

Standard Deviation = √9.6 ≈ 3.10 (rounded to two decimal places)

Therefore, the standard deviation of the sample of red blood cell counts is approximately 3.10.

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perform the following binary multiplications, assuming unsigned integers:
a) 1100 x 100
b) 10101 x 111
c) 11010 x 1100

Answers

After considering the given data we conclude that value pf the given binary multiplications are
a) the result of the binary multiplication 1100 x 100 is 000000.
b) the result of the binary multiplication 10101 x 111 is 1001111.
c) the result of the binary multiplication 11010 x 1100 is 110100000.

a) To apply the binary multiplication 1100 x 100, we can utilise the standard multiplication algorithm. We start by multiplying the ones digit of the second number (0) by each digit of the first number (starting from the right):
 1100
x  100
-----
  0000

Next, we have to apply multiplication of the tens digit of the second number (0) by each digit of the first number, and add the result to the previous row:
 1100
x  100
-----
  0000
 0000

Since the remaining digits of the second number are also 0, we can stop here.
Hence, the result of the binary multiplication 1100 x 100 is 000000.
b) To attempt the binary multiplication 10101 x 111, we can apply the same algorithm. Starting from the right, we multiply the ones digit of the second number (1) by each digit of the first number:
 10101
x   111
------
  10101

Next, we have to use multiplication the twos digit of the second number (1) by each digit of the first number, and add the result to the previous row:
 10101
x   111
------
  10101
 00000

Next, we multiply the fours digit of the second number (1) by each digit of the first number, and add the result to the previous row:
 10101
x   111
------
  10101
 00000
10101

Hence , the result of the binary multiplication 10101 x 111 is 1001111.
c) To use the binary multiplication 11010 x 1100, we can apply the same algorithm. Starting from the right, we multiply the ones digit of the second number (0) by each digit of the first number:
 11010
x  1100
------
  00000

Next, we have to use multiplication of the twos digit of the second number (0) by each digit of the first number, and add the result to the previous row:
 11010
x  1100
------
  00000
 00000

Next, we multiply the fours digit of the second number (1) by each digit of the first number, and add the result to the previous row:
 11010
x  1100
------
  00000
 00000
11010

Next, we multiply the eights digit of the second number (1) by each digit of the first number, and add the result to the previous row:
 11010
x  1100
------
  00000
 00000
11010
110100

Then, the result of the binary multiplication 11010 x 1100 is 110100000
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HELP!!!
Find the circumference. Don't forget to label your answer.

HELP!!!Find the circumference. Don't forget to label your answer.

Answers

CIRCUMFERENCE

Possible Question:

» The diameter of a circle is 11 in. What is the circle's circumference?

Answer:\( \blue{\bold{34.54 \: \:in}}\)

— — — — — — — — — —

Step-by-step explanation:

To find the circumference, use pi (π), a mathematical constant. Its value is approximately equal to 3.14.

— Multiply the diameter with π in order to get the circumference of a Circle.

\( \sf \: given : \underline{ \tt \: d = 11 \: in \: } \\ \\ \tt \: \: C = π × d \tt \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14×11 \: in \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \underline{ \boxed{ \purple{ \bold{ 34.54\:in}}}}\)

Therefore, the circumference of the circle is 34.54 inches.

_______________∞_______________

Answer:

\(\displaystyle 34,557519189...\:in.\)

Step-by-step explanation:

Split the diametre in half before proceeding:

\(\displaystyle \pi{d} = C \\ \\ 11\pi = C \hookrightarrow \boxed{34,557519189... = C}\)

I am joyous to assist you at any time.

Let a be a nonzero rational number. Is rational or irrational? Prove your answer by picking a value for a and simplifying
the expression. Then explain your reasoning.

Answers

Answer:

there is no expression to answer this based off of

Step-by-step explanation:

we can't answer an incomplete question sorry try again and maybe then

.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0

Answers

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Yael used to have a square garage with 254 ft2 of floor space. She recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

Answers

Answer:

120

Step-by-step explanation:

A bakery offers a sale price of 2.55 for 4 muffins.what is the price per dozen?

I hope someone answers fast

And explain what you did

Answers

Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3


Transitive Property Definition of COMPLEMENTARY Angles Subtraction Property
M∠1 + M∠2 = 90° and M∠2 + M∠3 =90°
M∠1 + M∠2 = M∠2 + M∠3 M∠1 = M∠3
Definition of Congruent Angles
∠1 ⩭ ∠3

Answers

so what is the question exactly?

Given secant of theta is equal to the square root of 6 over 2 comma what is cos?

Answers

The value of cos θ is equal to 1/3 when sec θ= √6/2.

Since we are given the value of secant of theta, we can use the relationship between secant and cosine to find the value of cosine of theta.

Let's start by recalling the definitions of secant and cosine functions. The secant of an angle is defined as the reciprocal of the cosine of that angle.

In other words, secθ = 1/cosθ

Conversely, the cosine of an angle is defined as the reciprocal of the secant of that angle.

cosθ = 1/secθ

We are given that secθ= √6/2

We can use this value to find cosθ= 1/secθ

cosθ = 1 / (√6/2)

To simplify this expression, we can multiply both the numerator and denominator by 2/sqrt(6).

cosθ = ((2/√6) / (√6/2) * (2/√6))

cosθ = (2/√6) / 1

cosθ = (2/√6 * √6/√6)

cosθ = 2/6 = 1/3

Therefore, the value of cosθ is equal to 1/3 when secθ = sqrt(6)/2.

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how many times greater is 42 than 0.42​

Answers

42 is 100 times greater than 0.42
Explanation:
0.42 * 100 = 42
Hope I helped you

Answer:

100 times bigger

Step-by-step explanation:

take the decimal point and move it over until your get 42. count how many times you moved the point. that is how many zeros come after a one. in this case it is 2 points so 100 times bigger

What percent of 30 is 6

Answers

To find out what percent of 30 is 6, we can use the following formula:

Percent = (Part/Whole) x 100

Here, the "part" is 6 and the "whole" is 30. So, we can substitute these values in the formula and solve for the percent:

Percent = (6/30) x 100 = 20

Therefore, 6 is 20% of 30.

Answer:

20%

Step-by-step explanation:

6/30 =1/5=0.2= 20 percent

The CEO of a company named "XYZ" that 80 percent of their 1,000,000 customers are very satisfied with the service they receive. To test this claim, a rival company "ABC" surveyed 150 "XYZ" customers, using simple random sampling. Among the sampled customers, around 73 percent (109 customers out of 150 ) say they are very satisfied. A hypothesis test was performed using this information at the 5% significance level. Use the "Hypothesis Test for Proportions Automated Spreadsheet" on Moodle to calculate the resulting p-value of this test. Express your answer to 5 decimal. places

Answers

The null hypothesis (H0) assumes that 80 percent of XYZ customers are very satisfied, while the alternative hypothesis (H1) suggests otherwise.

from the survey where 109 out of 150 customers claimed to be very satisfied, we can calculate the sample proportion of customers who are very satisfied as 109/150 = 0.7267.

The resulting p-value of 0.00001 is less than the significance level of 0.05.

The hypothesis test conducted is to determine whether the proportion of very satisfied customers in company XYZ is significantly different from the claimed 80 percent. The null hypothesis (H0) assumes that the proportion is equal to 80 percent, while the alternative hypothesis (H1) assumes that the proportion is not equal to 80 percent.

Using the given information, we can calculate the test statistic and the resulting p-value using the "Hypothesis Test for Proportions Automated Spreadsheet" on Moodle. The p-value obtained from the test is approximately 0.00063 when rounded to five decimal places.

This p-value represents the probability of observing a sample proportion as extreme or more extreme than the one obtained (73 percent) under the assumption that the null hypothesis is true. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis. This indicates strong evidence that the proportion of very satisfied customers in company XYZ is significantly different from 80 percent.

Therefore, based on the hypothesis test results, we can conclude that the rival company ABC's survey provides sufficient evidence to suggest that the proportion of very satisfied customers in company XYZ is different from the claimed 80 percent.

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please guys help me with this,i will brainlist you if u answered it correctly​

please guys help me with this,i will brainlist you if u answered it correctly

Answers

Hi there !

1. Yes

2. No

3. Yes

4. No

Step-by-step explanation :Number 1

\( \frac{1}{12} \)

Yes, 1/12 is lowest terms because 1/12 can't be simplified anymore.

Number 2

10/22

No, 10/22 can still be simplified to :

\( \frac{10 \div 2}{22 \div 2} = \frac{5}{11} \)

Number 3

3/14, Yes it's their lowest terms.

Number 4

4/6, No because 4/6 can still be simplified to :

\( \frac{4 \div 2}{6 \div 2} = \frac{2}{3} \)

___________________________

3. Write & solve an equation to find the value of x, then find the exact degree measure of the
exterior angle.
2x+12
3x-7

3. Write &amp; solve an equation to find the value of x, then find the exact degree measure of theexterior

Answers

A straight line is 180°.

(3x -7) + (2x + 12) = 180°

3x - 7 + 2x + 12 = 180°

5x + 5 = 180°

5x = 180° - 5

5x = 175°

x = 175°/5

x = 35


The exact degree measure of the exterior angle is:
2x + 12

= 2(35) + 12

= 82°

The value of x in the expression 2x+12 and 3x-7 is 35 and the measure of the exterior angle is 82°

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as linear equation in one variable.

We have two angles which is represented in a linear expression.

As we can see the figure the the sum of these two angles is 180°

2x+12 + 3x-7 = 180

5x + 5 = 180

5x = 180 - 5   (subtract by 5 on both the sides)

5x = 175

x = 35°            (divide by 5 on both the sides)

To find the measure of the exterior angle, put x = 35 in the linear expression 2x+12, we get:

=2(35)+12

= 70+12

=82°

Thus, the value of x in the expression 2x+12 and 3x-7 is 35 and the measure of the exterior angle is 82°

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What is the formula for calculating angle?

Answers

Angles Formulas at the center of a circle can be expressed as:

Central angle, θ = (Arc length × 360º)/(2πr) degrees

Sum of Interior angles=180°(n-2)

The angles formulas are used to find the measures of the angles. An angle is formed by two intersecting rays, called the arms of the angle, sharing a common endpoint.

The corner point of the angle is known as the vertex of the angle. The angle is defined as the measure of the turn between the two lines.

There are various types of formulas for finding an angle; some of them are the central angle formula, double-angle formula, etc...

We use the central angle formula to determine the angle of a segment made in a circle.

We use the sum of the interior angles formula to determine the missing angle in a polygon.

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Plot 213, −56, and −312 on the number line.

Plot 213, 56, and 312 on the number line.

Answers

Answer:

Step-by-step explanation:

Plot 213, 56, and 312 on the number line.

Plot 213, −56, and −312 on the number line.

Develop a POQ solution and calculate total relevant costs for the data in the following table.
Period 1 2 3 4 5 6 7 8 9 10 11 12
Gross requirements 30 40 30 70 20 10 80 50

fill in the table and calculate total costs.
*Holding cost =$ 3.50 / unit/week; setup cost =$ 200 ; lead time =1 week; beginning inventory =40 . a lot-for-lot solution (enter your responses as whole numbers).

Answers

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

How to calculate the total cost

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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 Develop a POQ solution and calculate total relevant costs for the data in the following table. Period
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