Question 11 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P
A business owner pays $1,200 per month in rent and a total of $120 per hour in employee salary for each hour the store is open. On average, the store brings in $200 in net sales per hour.Which equations can be solved to determine the break-even point if C(x) represents the cost function, R(x) represents the revenue function, and x the number of hours per month the store is open?
Answer
A
C(x) = 1,200+120x; R(x) = 200x
B
C(x) = 1,200+120; R(x) = 200x
C
C(x) = 200x; R(x) = 1,200+120x
D
C(x) = 200x; R(x) = 1,200+120
Explanation
The monthly cost includes fixed rent of $1,200 plus $120 for every hour the store is open, so C(x) = 1,200 + 120x. Revenue is $200 per hour, so R(x) = 200x. Setting these functions equal finds the break-even point, making choice A correct.
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