Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even.
-A basketball player scored 16 points in a game. The number of three-point field goals the player made was 14 less than three times the number of free throws (each worth 1 point). Twice the number of two-point field goals
The player made was 7 more than the number of three-point field goals made. Find the number of free-throws,
Two-point field goals, and three-point field goals that the player made in the game.
A) 6 free throws; 4 two-point field goals; 4 three-point field goals
B) 5 free throws; 4 two-point field goals; 1 three-point field goals
C) 5 free throws; 5 two-point field goals; 3 three-point field goals
D) 5 free throws; 1 two-point field goals; 4 three-point field goals

Question

Quizplus · Accepted Answer

Let F, T, and Th represent the number of free throws, two-point field goals, and three-point field goals, respectively. The total points can be represented as F + 2T + 3Th = 16. The problem states Th = 3F - 14 and 2T = Th + 7. Solving these equations simultaneously, we find F = 5, T = 4, and Th = 1, which corresponds to choice B.

Given the Cost Function, C(x), and the Revenue Function, R(x)