Question

Suppose consumers will purchase q units of a product at a price of StartFraction 200 Over q EndFraction plus 3 dollars per unit. What is the minimum number of units that must be sold in order that sales revenue be greater than ​$9000​? The minimum number of units sold must be greater than nothing.

Answer 1

Unit price = $\frac{200}{q}$ + 3
number of units = q
Revenue > $9000 

Therefore,

q · ($\frac{200}{q}$ +3) > 9000

⇒ 200 + 3q > 9000
3q > 9000 - 200
3q > 8800
q > 2,933.3

Therefore, the minimum number of units that must be sold in order that sales revenue be greater than ​$9000​ is 2,934 (Number of goods must be an integer)