Find the average rate of change illustrated in the graph.
-A lumber yard has fixed costs of $1702.80 per day and variable costs of $0.48 per board-foot produced. Lumber sells for $1.58 per board-foot. How many board-feet must be produced and sold daily to break even?
A) 1548 board-feet
B) 1032 board-feet
C) 826 board-feet
D) 3547 board-feet

Question

Quizplus · Accepted Answer

To break even, the total cost must equal the total revenue. The total cost is the sum of fixed costs and variable costs, which is $1702.80 + $0.48 per board-foot. The revenue is $1.58 per board-foot. Setting the cost equal to the revenue and solving for the number of board-feet gives the break-even point. The equation is $1702.80 + $0.48x = $1.58x, where x is the number of board-feet. Solving for x gives x = 1548 board-feet.

Find the Average Rate of Change Illustrated in the Graph