SOLUTION: REVENUE The demand equation for a product is p=60 - 0.0004x, where p is the price per unit and x is the number of units sold. The total revenue for selling x units is Revenue = xp=

Algebra ->  Finance -> SOLUTION: REVENUE The demand equation for a product is p=60 - 0.0004x, where p is the price per unit and x is the number of units sold. The total revenue for selling x units is Revenue = xp=      Log On


   

Question 980457: REVENUE The demand equation for a product is p=60 - 0.0004x, where p is the price per unit and x is the number of units sold. The total revenue for selling x units is Revenue = xp= x(60 - 0.0004x). How many units must be sold to produce a revenue of $220,000?

Found 2 solutions by solver91311, josgarithmetic:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Set



Just solve the quadratic. If you get a negative root, discard it. Round the positive root UP to the next integer.

John

My calculator said it, I believe it, that settles it

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-0.0004x%5E2%2B60x=220000

x%5E2-%2860%2F0.0004%29x%2B220000%2F%280.0004%29=0

x%5E2-15000x%2B550000000=0

x=%281500%2B-+sqrt%281500%5E2-4%2A550000000%29%29%2F%282%29

x=%281500%2B-+sqrt%282200001500%29%29%2F2

x=%281500%2B-+sqrt%282%5E2%2A5%5E3%2A37%2A109%2A1091%29%29%2F2

x=2%2A750%2F2%2B-+2%2Asqrt%285%5E3%2A37%2A109%2A1091%29%2F2

x=750%2B-+sqrt%285%5E3%2A37%2A109%2A1091%29

You want the PLUS form.
x=23452.0%2B750
highlight%28x=24202%29 but you would likely not want as much as five significant figures; you would want less, maybe three.