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Profit Maximization - The Zinger Company

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The Zinger Company sells and produces sewing machines. For a certain model, demand per period (Q) is given by:

Q = 400 - .5P

(P is price)

Producing Q units per period yields a total cost of:

TC = 20,000 + 50Q + 3Q2.

At what level of output are total profits maximized?

a. 750 units
b. 75 units
c. 7.5 units
d. 7500 units

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