Calculus
posted by Mona
I don't understand how to get q for this problem? The next steps for the problem, you just need to plug q in, but I'm not sure what to do?
Do you set revenues equal to expenses?
Problem:
Revenue is given by
R(q) = 750q
and cost is given by
C(q) = 6000 + 5q2.
1) At what quantity is profit maximized?
q =
2) What is the total profit at this production level?
For problem 2, it's clear you just need to plug q in. I just don't know how to get q.
Please help?

Mona
You find q by taking the derivatives of both R(q) and C(q) and setting the derivatives equal to each other.
R'(q)=750
C'(q)=10q
q=75
Total profit is $22125, once you plug it in. 
Steve
profit is revenue  cost
P(q) = R(q)C(q)
= 750q  (6000+5q^2)
= 5q^2 + 750q  6000
dP/dq = 10q + 750
So, P is maximuzed when q=75
revenue = cost is the breakeven point. Not much profit there...
Respond to this Question
Similar Questions

Math check 3
f(x) = 1/(x+7)+15/(x8). Find all a for which f(a)=f(a+15). I understand this so far f(a)=f(a+15) 1/(7+a) + 15/(a8) = 1/(a+22) + 15/(a+7) I have multiplied the LCD of (a8)(a+7)(a+22)by both sides with no luck. This is a multiple … 
Math subject Calculus
Hi there I am having some difficulties to solve this problem from my homework package and i don't understand how to approach this problem. Please help me by giving me advice on how to approach this problem. Let z = xsin(x/y), y does … 
College Math II
Solve the problem. If a manufacturer charges q dollars each for footballs, then he can sell 3000 – 150q footballs per week. Find the polynomial R(q) that represents the revenue for one week. Find the weekly revenue if the price is … 
Calculus
Hi there I am having some troubles trying to do my calculus homework and I really need help trying to do this problem from my homework: Set up the problem and do not solve: The mass of the solid bounded by the surfaces 2x^2 + 2y^2= … 
college accounting
We just starting the chapters in accounting in school. We have about 10 problems to do. I will post one problem here and i need someone to show me how exactly they got it, so i understand and it could help me work on the other 9. here … 
Algebra
I cannot solve the problem please help me. I'm suppose to set the equations up to solve for t. x = y + rt + at^2/2 Even when I plug in the values I don't get the answer. x = 16.4 y= 0 r= 0*cos(45)a=0 t is suppose to equal 2.32 if I … 
Calculus
Can someone please walk me through the steps, I am just not sure what to do next. thanks Solve the optimization problem. Minimize F = x^2 + y^2 subject to xy^2 = 16 I took the derivative F = 2x + 2Y but I don't know where to go from … 
English
1. The hospital is for certain people. 2. He has a certain problem. 3. He has a sure problem. 4. He is certain that the boy is diligent.  Are they all grammatical? 
Math
Young and Company owes bond holders $5,500 interest at the end of each quarter for the next five years. How much must they deposit now at 8% interest compounded quarterly to yield an annuity payment of $5,500? 
chemistry
I'm confused on number 6 on the take home test. in this problem are we going to use the heat capacity of calorimeter is 2.21kJ/c. I'm confused on how to set this problem up 1)I converted 1.000kg in to grams= 1000g 2) I used q=m*c* …