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Question 401581: the profit function of Wannamakker trophies is P(x)=-0.3^2+fx-m,where f represents the desighn fee for customer's awards and m represents the monthly office rent,also P represents th monthly profit in dollars of the small bussiness where x is the number of awards designed in that month.
A) if $60 is charged for a design fee,and the monthly studio rent is $1,500; write an equation for the profit,P,in terms of X
B)how much profit when 50 award desins are sold in a month?
C)how many award designs must be sold in order to maximize the profit?
D0 what is the maximum profit?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The profit function of Wannamakker trophies is P(x)=-0.3x^2+fx-m,where f represents the design fee for customer's awards and m represents the monthly office rent,also P represents th monthly profit in dollars of the small bussiness where x is the number of awards designed in that month.
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A) if $60 is charged for a design fee,and the monthly studio rent is $1,500; write an equation for the profit,P,in terms of X
P(x) = -0.3x^2+60x - 1500
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B)how much profit when 50 award designs are sold in a month?
P(50) = -0.3*50^2+60*50-1500 = $750
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C)how many award designs must be sold in order to maximize the profit?
Max occurs when x = -b/2a = -60/(2(-0.3)) = 100
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D0 what is the maximum profit?
P100) = -0.3*100^2+60*100-1500 = 1500
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Cheers,
Stan H.
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