Question

(b) write a linear revenue function representing the monthly revenue ( r(x) ) for ( x ) maintenance calls. the linear revenue function is ( r(x) = 64x ). part 3 of 5 (c) write a linear profit function representing the monthly profit ( p(x) ) for ( x ) maintenance calls. the linear profit function is ( p(x) = 30x - 650 ). part 4 of 5 (d) determine the number of lawn maintenance calls needed per month for the company to make money. round up your answer to the nearest maintenance calls. the business will make a profit if ( square ) or more lawn maintenance calls are made per month.

Explanation:

Step1: Set profit > 0

$P(x) > 0$

Step2: Substitute profit function

$30x - 650 > 0$

Step3: Solve for x

$30x > 650$
$x > \frac{650}{30} \approx 21.67$

Step4: Round up to whole number

Since calls are whole, round 21.67 up to 22.

Answer:

22