Since the feasible region is closed and bounded, the maximum value of the object

Question

Since the feasible region is closed and bounded, the maximum value of the objective function must occur at a corner point. So, we test the corner points in the function

S = 37.5x + 75y.

S = 37.5x + 75y

(0, 200)

(300, 0)

(200, 100)

(0, 0)

Looking at our table, we see that the maximum sales are $ ______. This amount of sales can be reached if the company sells zero cord-type and ______cordless trimmers or______cord-type and______cordless trimmers.

Corner

S = 37.5x + 75y

(0, 200)

(300, 0)

(200, 100)

(0, 0)

Explanation / Answer

we see that the maximum sales are $15000 This amount of sales can be reached if the company sells zero cord-type and 200 cordless trimmers or 200 cord-type and 100 cordless trimmers.

Corner S = 37.5x + 75y (0, 200) s=37.5*0+75*200=15000 (300, 0) s=37.5*300+75*0=11250 (200, 100) s=37.5*200+100*75=15000 (0, 0) s=0

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