The relationship between sales S and the amount x and y spent on two advertising media is given by 100 y 200 x + S = 5+y 10+ y Net profit is 1/5 of sales minus the costs of advertising. Advertising cost must not exceed the budget set at 25; determine how it should be allocated between the two media in order to maximize net profit.

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The relationship between sales S and the amount x and y spent on two advertising
media is given by
200 x
100 y
S=
+
5+y
10+ y
Net profit is 1/5 of sales minus the costs of advertising. Advertising cost must not
exceed the budget set at 25; determine how it should be allocated between the two
media in order to maximize net profit.
Transcribed Image Text:The relationship between sales S and the amount x and y spent on two advertising media is given by 200 x 100 y S= + 5+y 10+ y Net profit is 1/5 of sales minus the costs of advertising. Advertising cost must not exceed the budget set at 25; determine how it should be allocated between the two media in order to maximize net profit.
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