Question

price math quiz
question 5 of 10: let p be the price of an item. the unit sales of the item are 200 - 5p. what is the correct formula for the revenue by the item?

a) p

b) p + 200 - 5p

c) 200 - 4p

d) 200p - 5p²

Explanation:

Step1: Recall Revenue Formula

Revenue (\(R\)) is calculated as the product of price per unit (\(P\)) and number of units sold (\(Q\)). So \(R = P\times Q\).

Step2: Identify Units Sold (\(Q\))

Given unit sales \(Q = 200 - 5P\).

Step3: Calculate Revenue

Substitute \(Q\) into the revenue formula: \(R = P\times(200 - 5P)\).
Expand the product: \(R = 200P - 5P^{2}\).

Answer:

d) \(200P - 5P^{2}\)