The Sweet Drip Beverage C. sells cans of soda pop in machines. It finds that sales average 26000 cans per month when the cans sell for 50cents each. For each nickel increase in the price, the sales per month drop by 1000 cans.

Question

Determine a function R(x) that models the total revenue realized by Sweet Drip, where x is the number of $0.05 increases in the price of a can.

Answer 1

Sales S (in cans/month)
= 26000 - 1000 x
where P is the price in cents.

Revenue R = S*P = 26,000 -

Answer 2

Sales S (in cans/month)
= 26000 - 1000 x

Price P = 50 + 5x

Monthly Revenue R = S*P
= (26,000 - 1000x)(50 + 5x)

Multiply it out.