Please help me I will do anything I have been stuck on this problem for honestly 3 weeks.

A local grocery store has agreed to sell your homemade bread. You will use the following information along with some ideas from Chapter 3 to decide how many loaves should be manufactured each week and what price should be charged.

After tracking weekly sales at several different prices, you get the following data:
Loaves Sold, x
Price, p
355/$1.50
320/$2.00
265/$2.50
235/$3.00
180/$3.50
125/$4.00

In order to increase manufacturing capacity, you’ve taken out a loan to buy an industrial sized oven for $4000. The new oven will allow you to make a maximum of about 400 loaves of bread per week. The loan is to be paid back monthly over two years at an annual interest rate of 10% compounded monthly. The monthly payments are $203.40. (You can check these numbers after section 5.7.) The ingredients for two loaves of bread are given in the table below. The $1.182 is the cost of the ingredients for a single loaf of bread.

Demand Equation. Make a scatter plot of the six data points (using the number sold as the x-coordinate.) Does the relationship appear to be linear? Use regression analysis to find the line of best fit. This line will be your demand equation. How strong is the correlation?

Revenue Function. Find R(x), the weekly revenue as a function of loaves sold, x. (Note that R(x) is an equation not a single value.)

Cost Function. Find C(x), the weekly cost for producing x loaves of bread. Be sure to include both the cost of the oven and the ingredients. What is the domain of the cost function?

Profit Function. Find P(x), the weekly profit for producing and selling x loaves of bread. (Hint: profit = revenue – cost.)

Maximum Revenue. Find the number of loaves that should be sold in order to maximize revenue. What is the maximum revenue? What price should be charged in order to maximize revenue?

Maximum Profit. Find the number of loaves that should be produced and sold in order to maximize the profit. What is the maximum profit? What price should be used to maximize profit?

Conclusion. How many loaves of bread will you produce each week and how much will you charge for each loaf? Why?

Question

Please help me I will do anything I have been stuck on this problem for honestly 3 weeks.

A local grocery store has agreed to sell your homemade bread. You will use the following information along with some ideas from Chapter 3 to decide how many loaves should be manufactured each week and what price should be charged.

After tracking weekly sales at several different prices, you get the following data:
Loaves Sold, x
Price, p
355/$1.50
320/$2.00
265/$2.50
235/$3.00
180/$3.50
125/$4.00

In order to increase manufacturing capacity, you’ve taken out a loan to buy an industrial sized oven for $4000. The new oven will allow you to make a maximum of about 400 loaves of bread per week. The loan is to be paid back monthly over two years at an annual interest rate of 10% compounded monthly. The monthly payments are $203.40. (You can check these numbers after section 5.7.) The ingredients for two loaves of bread are given in the table below. The $1.182 is the cost of the ingredients for a single loaf of bread.

Demand Equation. Make a scatter plot of the six data points (using the number sold as the x-coordinate.) Does the relationship appear to be linear? Use regression analysis to find the line of best fit. This line will be your demand equation. How strong is the correlation?
 
Revenue Function. Find R(x), the weekly revenue as a function of loaves sold, x. (Note that R(x) is an equation not a single value.)
 
Cost Function. Find C(x), the weekly cost for producing x loaves of bread. Be sure to include both the cost of the oven and the ingredients. What is the domain of the cost function?
 
Profit Function. Find P(x), the weekly profit for producing and selling x loaves of bread. (Hint: profit = revenue – cost.)
 
Maximum Revenue. Find the number of loaves that should be sold in order to maximize revenue. What is the maximum revenue? What price should be charged in order to maximize revenue?
 
Maximum Profit. Find the number of loaves that should be produced and sold in order to maximize the profit. What is the maximum profit? What price should be used to maximize profit?
 
Conclusion. How many loaves of bread will you produce each week and how much will you charge for each loaf? Why?

rebeccaxhawaii · Answer

WELCOME TO OS

anonymous · Answer

Thank you can you help me with this problem I have the demand equation but I am having trouble finding the rest.

rhondasommer · Answer

Your best price point was $3.50, where you made $780.50 on 223 loaves sold. So lets sell for $3.50 per loaf.
R(x)=3.50x, x<400

rhondasommer · Answer

C(x) WEEKLY Interesting. Im not sure if you count 3500 as a one time cost. I wouldnt because you are paying for it monthly and shouldnt double count the oven. So I would say you are paying 177.97/(4 weeks) plus 1.182 per loaf. 
C(x)=44.49 + 1.182x for the next 2 years. And then C(x)=1.182x . You can make from 0 to 400 loaves so your domain is 0 < x < 400.

rhondasommer · Answer

lol ive done this before if you didnt notice

anonymous · Answer

@RhondaSommer $3.50 is not the best price point and i need to know the max revenue from selling between 1-400 loaves of bread.

anonymous · Answer

@jabez177

anonymous · Answer

@AloneS