Solve the problem.
-The revenue achieved by selling x graphing calculators is figured to be x(42 - 0.5x) dollars. The cost of each calculator is $22. How many graphing calculators must be sold to make a profit (revenue - cost) of at least $182.00?
A) between 14 and 26 calculators
B) between 19 and 31 calculators
C) between 15 and 25 calculators
D) between 16 and 24 calculators

Question

Quizplus · Accepted Answer

To find the number of calculators to sell for a profit of at least $182, we first express profit in terms of x: Profit = Revenue - Cost = x(42 - 0.5x) - 22x. Simplifying, we get Profit = 20x - 0.5x^2. Setting this equal to $182 gives 0.5x^2 - 20x + 182 = 0. Solving this quadratic equation for x gives the range of calculators that yield at least $182 in profit. The correct range is between 14 and 26 calculators, which matches option A.

Solve the Problem. -The Revenue Achieved by Selling X Graphing Calculators Is Figured