Question

A profit formula for dining plates from the previous year was modeled by the function p(d) = –15d2 1,200d – 2,000. the manufacturer noticed an increase in the number of units sold by 50% the next year, which can be modeled by the function l(d) = 1.5d. which composite function can be used to find the new profit formula after the increase in the number of units?

a) p(d) = –7.5d2 600d – 2,000
b) p(d) = –3.75d2 600d – 2,000
c) p(d) = –22.5d2 1,800d – 2,000
d) p(d) = –33.75d2 1,800d – 2,000

Answer 1

The composite function that can be used to find the new profit formula after the increase in the number of units sold is p(d) = –33.75d^2 + 1800d – 2000.

Step-by-step explanation:

The composite function that can be used to find the new profit formula after the increase in the number of units sold is:

p(d) = –15(1.5d)^2 + 1200(1.5d) – 2000

Simplifying, we have:

p(d) = –33.75d^2 + 1800d – 2000

Therefore, the correct answer is option d) p(d) = –33.75d^2 + 1800d – 2000.