Calulus
posted by shylo .
Hi there I need help on my calculus homework and this week, we were working on partial derivative. I don't know how to approach this word problem and set it into a maximum or minimum. Well I am not too sure if this problem is a minimum or maximum problem. Please help me and this is the homework problem below
A football stadium has a capacity of 50,000. The owners calculate that for an average game, if they charge $A for an adult ticket and $C for a child ticket, then N adults and M children will try to obtain tickets, where:
N = 80,000  2000A and
M = 30,000  1500C  500A
Find the prices that the owners should charge in order to generate the maximum income from ticket sales for a game. (NOTE: It may not be necessary for the stadium to be full to maximum income.)

Income=A*N + C*M
=A(800002000A)+C(300001500C500A)
multiply it out
Take derivitive with respect to A or C, I will do C first:
dI/dc=300003000C set it to zero, then
C=10
Now, do dI/dA
800004000A 500C=0
or A=800005000)/4000=75/4=17 dollars
Check: make certain the stadium can hold N +M
N=46000 M=6500 so yes it can.
check this.
Respond to this Question
Similar Questions

Calulus
Hi there I need help with one of the problem from my homework package. This week for my calculus class, we were learning how to do partial derivative and finding the tangent of the plane. So I do not know how to approach this problem. … 
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= … 
math
I need to use calculus to solve this word problem: Find all maximum and minimum values for f(x)= sin(x)+ cos(x) on [0, 2(3.14)] How do I do it? 
calculus
Find the surface area of the part of the sphere x^2+y^2+z^2=a^2 inside the circular cylinder x^2+y^2=ay (r=a*sin(θ) in polar coordinates), with a>0. First time posting on this website, sorry for the lack of details on my attempts … 
Math
I need an expiation on a math concept, because I know the right answer, I just don't know why it is The problem says to find the absolute maximum and minimum of the function f(x)=x^312x over the interval [5, 2] I found the 1st der. … 
Calculus Please check
Please check my answers and let me know if I did something wrong. Thank you! Find the partial derivative of x, and the partial derivative of y, then the partial derivative of x (1,1), and the partal derivative of y (1,1). f(x,y) … 
calculus
there are no examples of this type of problem in my book so if you could help walk me through it  that would be extremely helpful. thanks ahead of time. Find the extreme values of the function on the interval and where they occur. … 
Please check my Calculus
1. Find all points of inflection: f(x)=1/12x^42x^2+15 A. (2, 0) B. (2, 0), (2, 0) C. (0, 15) D. (2, 25/3), (2, 25/3) E. none of these I got D. I found the second derivative and equaled it to 0 and solved for x. I plugged the x values … 
math
Find the value(s) of x for the following. (Enter your answers as a commaseparated list.) f(x) = 6 sin^2 x − 6 cos x, and the interval is 0 is less than or equal to x and x is less than or equal to pi. (a) f(x) has a local maximum … 
Calculus
My question is with a multipart homework assignment that we got in class. The information given is : A factory manufactures widgets. The rate of production of widgets after t weeks is widgets/ week. The equation for this is dx/dt=30(1(20/((t+20)^2))). …