SOLUTION: Please help me to solve this problem. The demand function for an electronics company's laptop computer line is p = 2400 - 6q , where p is the price (in dollars) per unit when q uni

Question 461947: Please help me to solve this problem. The demand function for an electronics company's laptop computer line is p = 2400 - 6q , where p is the price (in dollars) per unit when q units are demanded (per week) by consumers. Find the level of production that will maximizes the manufacturer's total revenue an determine this revenue.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Please help me to solve this problem. The demand function for an electronics company's laptop computer line is p = 2400 - 6q , where p is the price (in dollars) per unit when q units are demanded (per week) by consumers. Find the level of production that will maximizes the manufacturer's total revenue an determine this revenue.
-----------------------
Revenue = price*units sold
---
R(p) = (2400-6q)*q
----
R(p) = 2400q - 6q^2
----
max occurs when q = -b/(2a) = -2400/(2*-6) = 200
------
Maximum Revenue occurs when production = 200 units are produced per week
---
The maximum Revenue = R(200) = 2400*200 - 6*200^2 = $240,000
==============================================================
cheers,
Stan H.
==============
RELATED QUESTIONS
i am having trouble with theese 2 1: y = g(x) = -2x^2 - 6x 2: The demand function... (answered by ewatrrr)

PLEASE HELP ASAP!! carlos works at an electronics store selling computer equipment. he... (answered by stanbon)

Could someone please help me solve this word problem? The demand equation for a... (answered by edjones)

Please help me with this word problem, and if you could show me step by step that would... (answered by josmiceli,MathLover1)

Please help me to solve this problem. The demand function for a product is... (answered by robertb)

Please help me with this assignment. I will post the question below. I am having... (answered by stanbon)

I was given this problem and am not sure how to set up the quadratic formula. Could you... (answered by mangopeeler07)

Hello, Any help with these algebra II questions would be greatly appreciated. I have... (answered by stanbon)

a. Suppose that a market research company finds that at a price of p = $20, they would... (answered by jojo14344)