SOLUTION: Please help me to solve this problem. Suppose that customers will purchase q unit of a product when the price is (80-q)/4 dollars each, how many units must be sold in order that sa

Question 458926: Please help me to solve this problem. Suppose that customers will purchase q unit of a product when the price is (80-q)/4 dollars each, how many units must be sold in order that sales revenue be $400?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Suppose that customers will purchase q unit of a product when the price is (80-q)/4 dollars each,
how many units must be sold in order that sales revenue be $400?
:
Revenue = price * no. of units purchased
therefore
* q = 400
:
= 400
Multiply both sides by 4
80q - q^2 = 1600
Combine on the right
0 = q^2 - 80q + 1600
this factors to
(q-40)(q-40) = 0
q = 40 units sold to have a revenue of $400
:
:
Check this out; find the price
p =
p = $10
40 * 10 = 400
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