Question

A company produces three products which must be processed through three departments. The
following table summarizes the labor hours and raw material requirements required per unit each
department. Each month there are 1300, 4700 pounds of raw material available. If the combined
monthly production for the three departments should equal 400 units. Determine whether there is
a combination of the three products which could be produced monthly so as to consume full
monthly labor availabilities and raw material of all departments.
Product 1 Product 2 Product 3
Labor-hours/unit 5 2 4
Pounds of raw material / unit 15 10 12

Answer 1

A company produces three products which must be processed through three departments. The

following table summarizes the labor hours and raw material requirements required per unit each

department. Each month there are 1300, 4700 pounds of raw material available. If the combined

monthly production for the three departments should equal 400 units. Determine whether there is

a combination of the three products which could be produced monthly so as to consume full

monthly labor availabilities and raw material of all departments.

Product 1 Product 2 Product 3

Labor-hours/unit 5 2 4

Pounds of raw material / unit 15 10 12