The Electrotech Corporation manufactures two industrial-sized electrical devices: generators and alternators. Both of these products require wiring and testing during the assembly process. Each generator requires 2 hours of wiring and 1 hour of testing and can be sold for a $250 profit. Each alternator requires 3 hours of wiring and 2 hours of testing and can be sold for a $150 profit. There are 280 hours of wiring time and 150 hours of testing time available in the next production period and Electrotech wants to maximize profit.

Suppose that Electrotech's management decides that they need to make at least 20 generators and at least 20 alternators. (Let X₁ = number of generators to produce and X₂ = number of alternators to produce.)

(a) Formulate an LP model for this problem to maximize profit (in dollars)

MAX:

Subject To:

Wiring ( in hrs):

Testing (in hrs):

(b) Sketch the feasible region for this problem.

.

(c) Determine the optimal solution to this problem by enumerating the corner points.

(X₁, X₂) =