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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.

Respuesta :

hisroyal1
unit price = [tex] \frac{200}{q} [/tex] + 3
number of units = q
Revenue > $9000 

Therefore,

q · ([tex] \frac{200}{q} [/tex] +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)

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