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In Exercises 63–74, solve analytically and then check graphically.
67. Break-Even The total revenue function for French door refrigerators is given by R = 550x dollars, and the total cost function for this same product is given by C = 10,000 + 30x + x2, where C is measured in dollars. For both functions, the input x is the number of refrigerators produced and sold.
a. Form the profit function for the refrigerators from the two given functions.
b. What is the profit when 18 refrigerators are produced and sold?
c. What is the profit when 32 refrigerators are produced and sold?
d. How many refrigerators must be sold to break even on this product?
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