A firm that assembles computer and computer equipment is about to start production of two new microcomputers. Each type of micro-computer will require assembly time, inspection time and storage space....

A firm that assembles computer and computer equipment is about to start production of two new microcomputers. Each type of micro-computer will require assembly time, inspection time and storage space. The amount of each of these resources that can be devoted to the production of microcomputers is 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.Additional informationIn order to develop a suitable model of the problem, the manager has met with design and manufacturing personnel. As a result of these meetings, the manager has obtained the following information:Type 1Type 2
Profit per unitBirr 70Birr 60Assembly time per unit4hrs10hrsInspection time per unit2hrs1hrStorage space per unit3cubic ft3cubic ftThe manager also has acquired information on the availability of company resources. These weekly amounts are:ResourceResource availableAssembly time100hrsInspection time 22hrsStorage space 40 cubic feetThe manager also meet with the firm’s marketing manager and learned that demand for the microcomputers was such that whatever combination of these two types of microcomputer is produced, all of the output can be sold.Required: Formulate the Linear programming model.