Question

A firm that assembles refrigerators and stoves is about to start production of new

models of each. Each model 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 items is limited$.$ The manager of the firm would like to determine

the quantity of each item to produce in order to maximize the profit generated by

sales. He has the following data at his disposal:

Refridgerators Stoves

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

Other information

Resource Amount of time available

Assembly time $100$ hours

Inspection time $22$ hours

Storage space $39$ cubic feet

Questions $-$

$$Identify the feasible solution space.

$$At which point will profit be maximized?