SOLUTION: Suppose consumers will purchase q units of a product at a price of (500)/(Q)+7 dollars per unit. What is the minimum number of units that must be sold in order that sales re

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Suppose consumers will purchase q units of a product at a price of (500)/(Q)+7 dollars per unit. What is the minimum number of units that must be sold in order that sales re      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1199843: Suppose consumers will purchase q units of a product at a price of
(500)/(Q)+7 dollars per unit.
What is the minimum number of units that must be sold in order that sales revenue to be greater than 9000 $?

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

They want you find the minimal integer solution to this inequality

    q%2A%28500%2Fq+%2B+7%29 >= 9000.


It is equivalent to

    500 + 7q >= 9000

    7q >= 9000 - 500 = 8500

     q >= 8500%2F7 = 1214.286...


ANSWER.  The minimal integer number q which is the solution to the problem is 1215.

Solved.