Question

The Oregon Atlantic company produces two types of paper: newsprint and wrapping paper. Make 1 yard of newspaper
It takes 5 minutes to produce one yard of newspaper; and 8 minutes to make one yard of wrapping paper. The company has 4,800 hours of operation per week. Newspapers cost $ 0.20 per yard and wrapping paper yields $ 0.25 per yard. Demand per week is 500 yards for newspaper and 400 yards for wrapping paper. sales price need labour hour is 1 hour.The company has established the following goals in order of importance:

(1) Limit overtime to 480 hours or less.

(2) Create a profit of $ 300 per week.

(3) profit size.

(4) Do not make fun of production capacity.

a. Determining how many different types of paper should be produced to satisfy various goals
Formulate it as a goal planning method model.

b. Use your computer to solve the problem.

Answer 1

Let x yards of newspaper and y yards of wrapping paper should be produced by the company.

Given, it takes 5 minutes to produce one yard of newspaper; and 8 minutes to make one yard of wrapping paper and the company has 4,800 hours of operation per week.

Then, we have, ,i.e., ...............(i)

Again, newspapers cost $ 0.20 per yard and wrapping paper yields $ 0.25 per yard and the profit per week must be $300.

Then, we have, ,i.e., ............(ii)

Again, demand per week is 500 yards for newspaper and 400 yards for wrapping paper.

Then, we have, .........(iii) and ............(iv)

Again, sales price need labour hour is 1 hour and limit overtime to 480 hours or less.

Then, we have, ...............(v)

I think there are some incorrect information. So, please revise the quesion and provide the correct question.