Solve analytically and then check graphically.
Break-Even The total revenue function for a home theater system is given by R = 266x, and the total cost function for the system is C = 2000 + 46x + 2x2, where R and C are each measured in dollars and x is the number of units produced and sold.
a. Form the profit function for this product from the two given functions.
b. What is the profit when 55 systems are produced and sold?
c. How many systems must be sold to break even on this product?
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