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Profitable fruitcake

Page 571 problem 62

62. Profitable fruitcake. Sharon's Revenue R (in dollars) on the sale of x fruitcake is determined by the formula R=50x-x^2. Her cost C(in dollars) for producing x fruitcakes is given by the formula C = 2x+40. For what values of x is Sharon's profit positive? (Profit = revenue-cost.)

Page 576 problem 68, 82, 84

68. Write a quadratic equation that has each given pair of solutions -2i , 2i

82. Solve each inequality. State the solution set using interval notation and graph x^2-5x+6

84. a^2+2a

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This solution is comprised of a detailed explanation to answer for what values of x is Sharon's profit positive.