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.