A manufacturing firm produces two products, 1 and 2.The requirements for labor and materials for production of each product, as well as the resource availabilities, are as follows:

 

 

Resource Requirements

 

Resource

Product 1††††††††† ††††† Product 2

Total Available Resources

Labor

Material

2 hr/unit††††††††††††††††††††††† 4 hr/unit

3 lb/unit†††††††††††† 1 lb/unit

80 hr

60 lb

 

The unit profit is $100 for product 1 and $80 for product 2.Managementís problem is to determine the optimal product mix that will maximize profit subject to availability of the limited resources.