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Answer to Question #54148 in Microeconomics for Asif

Question #54148
A firm has determined that its annual profits depend on the number of sales-people it employs and the amount spent on advertising. Specifically the relationship between profits, π (in Millions), salespeople; S (in thousands) and advertising expenditures, A (in millions), is

π=-10+60S+10A-2S^2-A^2

Determine the number of salespeople and the amount of advertising expenditures that would maximize the firms's profits.
Expert's answer
To determine the number of salespeople and the amount of advertising expenditures that would maximize the firms's profits we need to to derive MP function, MP = π' = 0.
So:
MP'(S) = 60 - 4S = 0
S = 15 units
MP'(A) = 10 - 2A = 0
A = 5 units.

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