Question $1$

A firm that assembles computers and computer equipment is about to start production of two new types of microcomputers. Each type will require assembly time, inspection time, and storage space. The amount of each of these resources that can be devoted to the production of the 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.

In order to develop a suitable model of the problem, the manager has met with design and manufacturing personnel. As a result of those meetings, the manager has obtained the information given Tables $1$ and $2($below$)$:

Table $1$

$\backslash$table$[[,$Table $1,$Type $2],[$Profit per unit,$$60,$$$50$