Kiаni Shоe Cоmpаny mаnufactures sneakers at a variable cоst of V(x)=0.000003x3−0.05x2+300x dollars, where x denotes the number of sneakers manufactured per month. The monthly fixed cost is $100,000. The total revenue from selling x sneakers is R(x)=−0.1x2+500x,0≤x≤5000. Which of the following correctly gives: (a) the total cost function C(x),(b) the total profit function P(x), and(c) the profit when 1,700 sneakers are produced and sold? A. C(x)=0.000003x3−0.05x2+300xP(x)=−0.000003x3−0.05x2+200x Profit = $180,761 B. C(x)=0.000003x3−0.05x2+300x+100,000P(x)=−0.000003x3−0.05x2+200x−100,000 Profit = $80,761 C. C(x)=0.000003x3−0.05x2+300x+100,000P(x)=0.000003x3−0.15x2+800x+100,000 Profit = $90,761 D. C(x)=0.000003x3−0.05x2+300x−100,000P(x)=−0.000003x3+0.05x2+200x+100,000 Profit = $280,761
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