WidgCo is a company that produces and sells widgets. The marketing department de

Question

WidgCo is a company that produces and sells widgets. The marketing department determines that the price per widget (p), measured in dollars, and the daily demand for widgets (x) are related by the following demand equation: p(x) = 324- 6x. The cost of producing x widgets is given by the Function C(x) =1050 + 72*. Find the production levels at which WidgCo breaks-even. Round your answers to the nearest widget. A. x = 5 and x = 37 B. x = 3 and x = 19 c. x = 1 and x- 41 D. x = 0 and x = 54 E x = 7 and x = 69 F. x = 9 and x = 75

Explanation / Answer

To break even, the revenue must equal cost. So xp(x) =C(x) => x(324 - 6x) = 1050 + 72x => 324x - 6x^2 = 1050 + 72x => 6x^2 -252x + 1050 = 0 => x^2 - 42x + 175 = 0 Using the quadratic formula, you get A as the closest answer.

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