24. Impact Printing makes two kinds of computer paper using premium or ordinary quality stock. They have a contract to supply at least 5000 cases of paper. There is only enough stock to make 4000 cases of premium paper, but ample stock for ordinary paper. Both kinds are made with the same machine and 1200 hours of machine time are available. Premium paper takes 18 minutes per case to make and ordinary paper takes 12 minutes per case. The profit on each is $4/case and $3/case, respectively.

Question

24.	Impact Printing makes two kinds of computer paper using premium or ordinary quality stock.  They have a contract to supply at least 5000 cases of paper.  There is only enough stock to make 4000 cases of premium paper, but ample stock for ordinary paper.  Both kinds are made with the same machine and 1200 hours of machine time are available.  Premium paper takes 18 minutes per case to make and ordinary paper takes 12 minutes per case.  The profit on each is $4/case and $3/case, respectively.

yared · Answer

ware is the answer

oobleck · Answer

If there are p cases of premium, and s cases of ordinary stock, then what do you know?
p+s >= 5000
p <= 4000
18p + 12s <= 1200
profit = 4p+3s

Now, when you decide what it is you want to know, you can use a little linear programming to get your answer.