Shoemakers of America forecasts the following demand for the next six months: 5000 pairs in month 1; 6000 pairs in month 2; 7000 pairs in month 3; 9000 pairs in month 4; 6000 pairs in month 5; 5000 pairs in month 6. It takes a shoemaker 20 minutes to produce a pair of shoes. Each shoemaker works 150 hours per month plus up to 40 hours per month of overtime. A shoemaker is paid a regular salary of $2000 per month plus $20 per hour for overtime. At the beginning of each month, Shoemakers can either hire or fire workers. It costs the company $1000 to hire a worker and $1200 to fire a worker. The monthly holding cost per pair of shoes is 5% of the cost of producing a pair of shoes with regular-time labor. The raw materials in a pair of shoes cost $10. At the beginning of month 1, Shoemakers has 15 workers and 500 pairs of shoes in inventory. Determine how to minimize the cost of meeting (on time) the demands of the next six months.

Answers

Answer 1

Answer:

5,000+6,000+7,000+,9,000+6,000+5,000= 38,000

Step-by-step explanation:

Answer 2

The minimum cost of meeting the demands of the next six months is $7475.00.

Here, we have,

To determine how to minimize the cost of meeting the demands of the next six months, we need to create a production and workforce plan that balances the demand for shoes with the available workforce and inventory.

Let's break down the problem into several steps:

Step 1: Calculate the regular production capacity and overtime capacity:

Regular production capacity: Number of regular working hours per month divided by the time it takes to produce a pair of shoes.

Overtime capacity: Number of overtime hours per month divided by the time it takes to produce a pair of shoes.

Given:

Regular working hours per month: 150 hours

Overtime hours per month: 40 hours

Time to produce a pair of shoes: 20 minutes (1/3 of an hour)

Regular production capacity = 150 hours / (1/3 hour) = 450 pairs per month

Overtime capacity = 40 hours / (1/3 hour) = 120 pairs per month

Step 2: Create a monthly production plan:

We will use the regular production capacity, overtime capacity, and inventory to fulfill the demand for each month.

Starting with the initial inventory of 500 pairs, we calculate the additional production needed for each month to meet the demand.

Month 1:

Demand: 5000 pairs

Additional production needed: 5000 - 500 = 4500 pairs

Month 2:

Demand: 6000 pairs

Additional production needed: 6000 - (500 + 4500) = 1000 pairs

Month 3:

Demand: 7000 pairs

Additional production needed: 7000 - (500 + 4500 + 1000) = 1000 pairs

Month 4:

Demand: 9000 pairs

Additional production needed: 9000 - (500 + 4500 + 1000 + 1000) = 2000 pairs

Month 5:

Demand: 6000 pairs

Additional production needed: 6000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs

Month 6:

Demand: 5000 pairs

Additional production needed: 5000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs

Step 3: Determine the hiring and firing decisions:

To minimize costs, we need to hire or fire workers based on the additional production needed for each month.

Based on the calculations from Step 2, we can identify the following hiring and firing decisions:

Month 1:

Additional production needed: 4500 pairs

Hire 5 workers (cost: 5 * $1000 = $5000)

Month 2:

Additional production needed: 1000 pairs

No hiring or firing needed (as the existing workforce can handle it)

Month 3:

Additional production needed: 1000 pairs

No hiring or firing needed

Month 4:

Additional production needed: 2000 pairs

No hiring or firing needed

Month 5:

Additional production needed: 0 pairs

No hiring or firing needed

Month 6:

Additional production needed: 0 pairs

No hiring or firing needed

Step 4: Calculate the costs:

Now, we can calculate the costs associated with hiring, firing, and production.

Hiring cost: $5000 (Month 1)

Firing cost: $0 (No firing needed)

Holding cost: 5% of the cost to produce a pair of shoes with regular-time labor, multiplied by the inventory at the beginning of each month.

Holding cost for Month 1: 0 (no inventory at the beginning of Month 1)

Holding cost for Month 2: 0.05 * ($2000 + 4500 * $10) = $237.50

Holding cost for Month 3: 0.05 * ($2000 + 5500 * $10) = $297.50

Holding cost for Month 4: 0.05 * ($2000 + 7500 * $10) = $475.00

Holding cost for Month 5: 0.05 * ($2000 + 7500 * $10) = $475.00

Holding cost for Month 6: 0.05 * ($2000 + 7500 * $10) = $475.00

Total cost:

Total cost = Hiring cost + Firing cost + Holding cost

= $5000 + $0 + ($237.50 + $297.50 + $475.00 + $475.00 + $475.00)

= $7475.00

Therefore, the minimum cost of meeting the demands of the next six months is $7475.00.

To earn more on addition click:

brainly.com/question/29560851

#SPJ4


Related Questions

y are selling lollipops for $0.50 and candy bars for $1.50.
Lydia buys 6 lollipops and some candy bars.

If she spends $15 in total, how many candy bars, b, did Lydia buy?

Answers

Answer:

b=8

Step-by-step explanation:

You multiply $0.50 by 6 (to get the amount of money she spent on lollipops)=3 then you take the 3 and subtract it from $15 which gives you 12, finally you get 1.50-12 and do that 8 times which means she bought 8 candy bars

What is the value of x???

Answers

Answer:

x=63

Step-by-step explanation:

The degree measure of a line is 180 degrees.

180 degrees is made up of 117 and x

117+x=180

x=63

The dot plots show the heights of boys and girls at a summer camp. Heights of Boys and Girls at Camp 2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60. Which is a true statement for most of the data in each plot? Most of the data in each plot are greater than 48. Most of the data in each plot are less than 48. Most of the data in each plot are around 52. Most of the data in each plot are around 54.

Answers

Answer:

A- most of the data in each plot is greater than 48

Step-by-step explanation:

took the test

Answer:

a

Step-by-step explanation:

a

A translation is applied to the triangle formed by the points A (-1,4), B(-1,10), and C(3,6). The image is the triangle that has vertices. A’(3,4), B’(3,10), and C’(7,6).

The triangle was translated…

The answers:

4 units to then left

4 units up

4 units to the right

4 units down


Answers

4 units up i believe

help pls!!!! would be appreciated thank you

Answers

Answer:

fairly sure its not the fourth one or the second one- so that narrows it down to the first and third one

Step-by-step explanation:

(−10x^2+9)+(8x^2 −5x+7)

Answers

Answer:

-2x^2-5x+16

Step-by-step explanation:

Remove parenthesis:

-10x^2+9+8x^2-5x+7

Combine like terms:

-10x^2+8x^2-5x+9+7

= -2x^2-5x+9+7

=-2x^2-5x+16

It is known that screws produced by a certain company will be defective with probability 0.01, independently of each other. The company sells the screws in packages of 10 and offers a money-back guarantee that at most 1 of 10 screws are defective. That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace

Answers

Answer:

The company must replace 0.0042 = 0.42% of packages.

Step-by-step explanation:

For each screw, there are only two possible outcomes. Either it is defective, or it is not. The probability of an screw being defective is independent of any other screw. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

It is known that screws produced by a certain company will be defective with probability 0.01.

This means that [tex]p = 0.01[/tex]

The company sells the screws in packages of 10

This means that [tex]n = 10[/tex]

That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace?

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.01)^{0}.(0.99)^{10} = 0.9044[/tex]

[tex]P(X = 1) = C_{10,1}.(0.01)^{1}.(0.99)^{9} = 0.0914[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9044 + 0.0414 = 0.9958[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9958 = 0.0042[/tex]

The company must replace 0.0042 = 0.42% of packages.

8. If AC = 2x + 2 and GF = 4x - 14, find the value of x.
help please??

Answers

Answer:

x=8

Step-by-step explanation:

2x+2 = 4x-14

16=2x

x=8

Help me out! I’ll give Brainly :) thank you!!

Answers

5^2-2(5)
25-10
F(5)=15

Answer:

f(5) = 15

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x) , that is

f(5) = 5² - 2(5) = 25 - 10 = 15

i need help with this math

Answers

Answer:

Perimeter = 56

Area = 196

Step-by-step explanation:

We use the Pythagorean theorem to calculate the half-length of the sides (a):

a² + a² = (7√2)²2a² = 7² * 22a² = 98a = 7

Half of a side is 7, meaning that the full length is 14.

With that in mind we can calculate the perimeter and area:

Perimeter = 14 * 4 = 56Area = 14² = 196

What is the equation of a circle with center at (4, -2) and a radius of 7?

Answers

let h= 4, k=-2 and r= 7 then

(x-h)^2 + (y-k)^2 = r^2

(x-4)^2 + (y+2)^2 = 7^2

x^2 -8x +16 + y^2 +4y +4 = 49

x^2 +y^2 -8x +4y +16 +4-49 = 0

x^2 + y^2 -8x +4y -29 = 0 is the required eq

find the area of this parallelogram with the measurements 5.2cm and 8.4cm​

Answers

Answer:

43cm square

Step-by-step explanation:

A= bh

A=8.4cm x 5.2cm

A=43.68cmsqr

suppos f(x) = x^3 find the graph of f(x+1)

Answers

Answer:

(x+)^3

Step-by-step explanation:

Can someone answer this please l

Answers

Answer:

Step-by-step explanation:

(5a + 18) + (48 - a) + (8a - 30) = 180 (Angles on a straight line)

5a + 18 + 48 - a + 8a - 30 = 180

12a + 36 = 180

12a = 180 - 36

a = 144/12

a = 12

therefore, the first angle is, 78 degree, second angle is 36 degree and third angle is 66 degree.

Therefore, the size of the smallest angle is 36 degree

180=5a+18+48-a+8a-30
144=12a
a=12
The middle angle= 36 degree
Give me brilliant

A baker has 10 pies. He will cut all the ples into pieces that are each of the whole ple.
How many pieces of pie will there be?

Answers

Answer:

I believe it to be 80 pieces if they are all cut into 8 pieces

Step-by-step explanation:

Answer:

I'm not sure how big each of the pieces of the pie are but I'm guessing 20 if each piece of pie is 1/2. Good luck on the question. Sorry I couldn't help you much.

Step-by-step explanation:

Maria sold 50 books, or
30% of her book collection,
at a garage sale. How many
books were in Maria's
collection?


No links please

Answers

Answer:

167 books.

Step-by-step explanation:

30% =  50 books

1% = 50/30

100% =  (50/30) * 100

= 167 books.

A recipe requires 6 1/8 cups of milk Ran put in 3 7/8 cups and emptied a container. How much more milk does he need to put in?

Answers

Answer:

he would need 2 2/8 cups of milk

Step-by-step explanation:

you would just  need to subtract 3 7/8 from 6 1/8

6 1/8 - 3 7/8 = 2 2/8

Can someone help me please

Answers

Answer:

4) 60 ft.²

5) 96 cm.²

6) 96

7) 126

8) 72

9) 32

10) 90

11) 216

(Formula for the area of a rectangle: length x width)

(Remember to follow PEMDAS when calculating the problems.)

PLEASE PLEASE PLEASE look below I am crying

Answers

Answer:

it's C

Step-by-step explanation:

Imagine a coordinate plane. Move 5 units away, you'll end up with (-5, 2).

Hope I helped

WILL GIVE

BRAINLIST
...
.

Answers

Answer:

b. gain of 279 pounds

Step-by-step explanation:

107+85-27+114 = 279

Answer:

9100 + 107 + 85 - 27 + 114

Total weight = a. 9379 pounds

Suppose A and B are independent events. If P(A) = 0.6 and P(B) = 0.85, what is P(A and B)?
A. .34
B. .51
C. .17
D. .68

Answers

Answer:0.51 I just took the test

Step-by-step explanation:

Go step by step to reduce the radical sqrt 180

Answers

Answer:

6√5

Step-by-step explanation:

REMEMBER THE REMAINDER

Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation

1. Factor 180 into square numbers

180 = 9*4*5

2. [tex]\sqrt{180}[/tex] = [tex]\sqrt{9*4*5}[/tex]

3. Bring out the square numbers to the outside of the square root.

4. 3*2[tex]\sqrt{5}[/tex] = 6[tex]\sqrt{5}[/tex]

I have no idea how to solve this

Answers

Answer:

awww neither do i

Step-by-step explanation:

lol I got a 72 on my matb homework going to go jump off a cliff

Plz help me well mark brainliest if correct!!.....

Answers

Answer:

D

Step-by-step explanation:

Do I need to explain?

Answer:

D(8)

Step-by-step explanation:

So remember, 2 opposite sides of a triangle are equivelent.

We know that one of these sides are 3.

So the other side must be 3 as well.

This is 2 of the 4 sides of a rectangle.

If each side is 3, and there are two sides, this means that they add up to 6.

Subtract this from your total permiter:

22-6

=

16

Now remember, there are 2 sides left.

To find the answer, divide the 16(permiter left) by the 2(sides left):

16/2

=

8

This is your answer!

Hope this helps! :)

What is the Tan J? URGENT HELP PLS

Answers

Answer:

4th Option, [tex]\frac{12}{5}[/tex]

Hope this helps!

Ryan and Carl each get paid a basic pay of £60 per day.
One day, Ryan also gets a bonus of 25% of his basic pay.
Carl also gets £20 in tips from customers.
Work out the difference between the total amounts of money that Ryan and Carl each get.

Answers

Answer:

Difference between both pay = £5

Step-by-step explanation:

Given:

Basic pay of Ryan = £60 per day

Basic pay of carl = £60 per day

Ryan get bonus = 25% of basic pay

Carl get = £20 as tip

Find:

Difference between both pay

Computation:

Total of Ryan pay = 60 + 25%(60)

Total of Ryan pay = 60 + 15

Total of Ryan pay = £75

Total of Carl pay = 60 + 20

Total of Ryan pay = £80

Difference between both pay = 80 - 75

Difference between both pay = £5


Plz help me well mark brainliest if correct!!....ñ

Answers

B. A and C, they both have area of 48.

Answer:

Option B.

Step-by-step explanation:

Have a great day!

you don’t have to give Brainliest ;)

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

Your answer is C

Step-by-step explanation:

You first look at what is in the parenthesis, and you do the opposite. In this case the opposite of one to the right is -1. Then you look on the outside of the equation. The graph when down three places, so -3

solve for x please answer this question ​

Answers

Answer:

<15

Step-by-step explanation:

Select all the equations that are equivalent

Answers

Answer:

52=8n +4

4=52-8n

are equivalent

Answer:

a, b, c, e

Step-by-step explanation:

4(2n + 1) = 52 is the same as 52 = 8n + 4 if you use distributive property.

4 = 52 - 8n is the same as 52 = 8n + 4. The 8n is just subtracted from both sides.

4n = 48 is not the same as 4(2n + 1) = 52 or 52 = 8n + 4 or 4 = 52 - 8n.

n = 6 is the solution to the equation so it is equivalent.

Other Questions
Calculate the volume of sulfur dioxide produced when 27.9 mL O2 reacts with carbon disulfide. calculate the Area of the shaded region. someone please help! Which are necessary conditions to apply the SAS Triangle Congruence Theorem? Select all that apply Can somebody help me out my grade are bad What is pretexting? How is this used? What is happening with Earth and thesun's rays during winter in the NorthernHemisphere. Which document held the provision that a person could NOT be considered guilty of a crime with no body of evidence against them? A. Writ of Habeas Corpus B. English Bill of Rights C. Petition of Right D. Magna Carta What can you say about the forces between the particles of these gases) What is the area of the figure composed of a parallelogram, a square, and a rectangle? What did the Catholic Church during the counter reformation ? Which situation best illustrates the economic concept of opportunity cost?O A. A business decides to begin advertising its product in moreforeign markets.O B. A business gives its employees a raise, so it cannot afford to buyany TV ads.O C. A business takes out a large loan, so it is able to expand into anew market.O D. A business plans to relocate to a new city after taxes increase inits home city. Jasmine travels a lot and collects rocks wherever she goes. She was examining two rocks from her collection, and she noticed that they are different types of rock. How could energy have played a role in the different rock types forming?A. Energy changes rock on different continents in different ways. Each continent on Earth has different rock that might form liquid rock or small rock pieces when exposed to energy. B. Energy caused one rock type to form, but not the other. Rock that forms because of energy is a different type of rock than rock that forms without energy.C. Energy from different sources leads to different types of rock. Energy inside Earth melts rock into liquid rock, but energy from the sun causes rock to weather into small pieces of rock.D. Energy causes different types of rock to change in different ways. Energy changes igneous rock into liquid rock and changes sedimentary rock into small pieces of rock. I will give brainly to correct answer and if you dont get brainly lmk if you want me to make a fr33 p01nts questions so you get brainlyWhich process does a plant use to release energy from food?photosynthesisreproductionrespirationtranspiration Agree or Disagree? plz help no link plz The ratio of hot dogs to hamburgers on a barbeque table is 7:3. If there are 51 hamburgers on the table then how many hot dogs must be there? It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 36 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 114 feet. Assume that the population standard deviation is 22 feet. Use Table 1. State the null and the alternative hypotheses for the test. H_0:mu = 120: H_A: mu notequalto 120 H_0:mu 2 greaterthanorequalto 120: H_A mu < 120 H_0: mu lessthanorequalto 120: H_A: mu > 120 Calculate the value of the test statistic and the p-value. {Negative values should be indicated by a minus sign. Round "Test statistic" to 2 decimal places 3nd "p-value" to 4 decimal places.} The p-value is: p-value < 0.01 0.01 lessthanorequalto p-value < 0.025 0.025 lessthanorequalto p-value < 0.05 0.05 lessthanorequalto p-value < 0/.10 p-value greaterthanorequalto 0.10 c. Use alpha = 0.01 to determine if the average breaking distance differs from 120 feet. Repeat the test with the critical value approach. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) Which answer choice is it?? Roberto has received various gifts over the years and has decided to dispose of the following assets he received as gifts:What is the recognized gain or loss from the following transactions, assuming that no gift tax was paid when the gifts were made.If an answer is zero, select "neither a gain nor a loss" and enter "0" as the amount.a. In 1981, he received land worth $32,000. The donor's adjusted basis was $35,000. Roberto sells the land for $95,000 in 2018.(neither a gain or a loss/ a gain/ a loss) of $__________ is recognized.b. In 1986, he received stock in Gold Company. The donor's adjusted basis was $19,000. The fair market value on the date of the gift was $34,000. Roberto sells the stock for $40,000 in 2018.(neither a gain or a loss/ a gain/ a loss) of $__________ is recognized.c. In 1992, he received land worth $15,000. The donor's adjusted basis was $20,000. Roberto sells the land for $9,000 in 2018.(neither a gain or a loss/ a gain/ a loss) of $__________ is recognized.d. In 2013, he received stock worth $30,000. The donor's adjusted basis was $42,000. Roberto sells the stock for $38,000 in 2018.(neither a gain or a loss/ a gain/ a loss) of $__________ is recognized. PLEASE HELP FAST !!!An artist creates a cone shape sculpture for an Art exhibit if the sculpture is 7 feet tall and has a base with a circumference of 21.980 feet what is the volume of the sculpture? which method is suitable for collection a acarbon dioxide.Explain