Jim Jones manufactures inexpensive set-it-yourself furniture for college students. He currently makes two products: bookcases and tables. Each book case contributes $6 to profit, and each table contributes $5 to profits.
Each product passes through two processes: cutting and finishing. A bookcase takes 4 hours of cutting and 4 hours of finishing. A table requires 3 hours of cutting and 5 hours of finishing. There are currently 400 hours of cutting available and 300 hours of finishing available. Jim Jones objective is to maximize profits.
CUTTING FINISHING Profit/Unit
Bookcase 4 hrs 4 hrs $6
Table 3 hrs 5 hrs $5
Available
Capacity/week 400 hrs 300 hrs
Clearly state your decision variables and formulate Jim Jones’ problem as a linear program that maximizes Jim Jones’ weekly profit.