# Thus, the profit is modelled by the function

May 19th, 2015
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c^' (x)=0.0003x^2-0.18x+22 c(x)=∫▒〖C^' (x)dx〗 =∫▒(0.0003x^2-0.18x+22)dx =(0.0003x^3)/3-(0.18x^2)/2+22x+C =0.0001x^3-0.09x^2+22x+c Since P(0) = -800 C = -800

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a). Since P(0) = -800C = -800Thus, the profit is modelled by the function The total profit realizable from the manufacture and sale of300 units Total cost = 25500+800 =26300

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