Question

A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per customer. The more the company charges for a tour, the fewer people decide to take the tour. The function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge over a rate of $50 per person. The function p(x)=120−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge over a rate of $50 per person. What does (p⋅c)(2) mean about the horse-drawn carriage tour company? ​The horse-drawn carriage tour company can expect to take in $6600 when the charge per customer is $40. The horse-drawn carriage tour company can expect to take in $6960 when the charge per customer is $40. The horse-drawn carriage tour company can expect to take in $6960 when the charge per customer is $60. ​​The horse-drawn carriage tour company can expect to take in $6600 when the charge per customer is $60.

Answer 1

The horse-drawn carriage tour company can expect to take in $6960 when the charge per customer is $60.

Explanation:

Answer 2

The horse-drawn carriage tour company can expect to take in $6960 when the charge per customer is $60.

Explanation:

p(2) = 120 -2·2 = 116 . . . . . expected number of customers per day

c(2) = 50 +5·2 = 60 . . . . . . charge per customer

Then ...

(p·c)(2) = p(2)·c(2) = 116·60 = 6960 . . . . revenue for the day