A firm that assembles computers and computer equipment is about to start production of tow new types of microcomputers. Each type will require assembly time, inspection time, and storage space. The amounts of each of these resources that can be devoted to the production of the microcomputers are limited. The manager of the firm would like to determine the quantity of each microcomputer to produce in order to maximize the profit generated by sales of these microcomputers. In order to develop a suitable model for the problem, the manager has met with design personnel and production personnel. As a result of these meetings, the manager has obtained the following information:
Type 1 Type 2
Profit per unit $60 $50
Assembly time per unit 4 hours 10 hours
Inspection time per unit 2 hours 1 hour
Storage space per unit 3 cubic feet 3 cubic feet
The manager also has acquired information on the availability of company resources. These (daily) amounts are:
Resource Amount available
Assembly time 100 hours
Inspection time 1 hour
Storage space 39 cubic feet
The manager met with the firm's marketing manager and learned that demand for the microcomputers was such that whatever combination of these types of microcomputers is produced, all of the output can be sold.