Suppose consumers will purchase q units of a product at a price of StartFraction 100 Over q EndFraction plus 7 dollars per unit. What is the minimum number of units that must be sold in order that sales revenue be greater than $8000 ? The minimum number of units sold must be greater than?

Question

Mathematics

Angeline

29 November, 15:14

Suppose consumers will purchase q units of a product at a price of StartFraction 100 Over q EndFraction plus 7 dollars per unit. What is the minimum number of units that must be sold in order that sales revenue be greater than $8000 ? The minimum number of units sold must be greater than?

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Answers (1)

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Jairo Gates · Answer 1

Total number of units = q

Cost of each unit = 100/q + 7

Total cost of q units = q (100/q + 7) = 100+7q

To make revenues greater than $8,000

8000<100 + 7q

8000-100 < 7q

7900<7q

q>7900/7

q>1128.58

q>1129 units

Therefore, the minimum number of units sold must be greater than 1129 units.