The chief financial officer of a shoe company calculates that the cost C of producing p pairs of a certain shoe is C = 17p + 1,890. The marketing department wants to sell the shoe for $35 per pair. The shoe company will make a profit only if the total revenue from selling p pairs is greater than the total cost of producing p pairs. Which of the following inequalities gives the number of pairs of shoes p that the company needs to sell in order to make a profit?
A. p < 54
B. p > 54
C. p < 105
D. p > 105
Answer:D
The chief financial officer of a shoe company calculates that the cost C of producing p pairs of a certain shoe is C = 17p + 1,890. The marketing department wants to sell the shoe for $35 per pair. The shoe company will make a profit only if the total revenue from selling p pairs is greater than the total cost of producing p pairs. Which of the following inequalities gives the number of pairs of shoes p that the company needs to sell in order to make a profit?
A. p < 54 B. p > 54 C. p < 105 D. p > 105
Explanation: D