# 1. The cost function for a clock factory is C(x) = 7x + 27 and the revenue function is R(x) = -4x 2 + 39x,

1. The cost function for a clock factory is C(x) = 7x + 27 and the revenue function is R(x) = -4x 2 + 39x, where x is the number of clocks sold, in thousands. a. Determine the equation of the profit function, P(x), for the number of clocks sold. b. Determine the number of clocks sold that maximizes profit and the maximum profit, in thousands. c. For what values of k will the function g(x) = 4x 2 – 5x + k have only one zero? nt: Use the discriminant. (550 words)

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