Homework Help: Math(Urgent)

Posted by Hannah on Sunday, February 27, 2011 at 10:07pm.

Compute the maximum product for two positive numbers x and y with the property that the sum of the first plus five times the second is 5000.

1) Indicate the objective equation
2) Indicate the constraint equation

So the objective = f(x)=xy and the constraint = x+5y=5000

Now number 3 says rewrite the objective function in terms of the variable x only. Would it be y=x?

4) For which value of x does the objective function attain its maximum? Do I have to take the derivative?

5) What is the corresponding value of y
6) What is the vale of the maximum product of the two numbers?

Math(Urgent) - MathMate, Sunday, February 27, 2011 at 10:26pm
3)
from x+5y=5000, we get y=(5000-x)/5
substitute into f(x) to get:
f(x)=xy=x(5000-x)/5

4)
Take derivative and equate to zero. I get x=2500,

5)
find y using equation from 3)

6)
x*y
Math(Urgent) - Hannah, Sunday, February 27, 2011 at 10:54pm
Thank You
Math(Urgent) - Hannah, Sunday, February 27, 2011 at 11:19pm
did you get 1000-2x/5 as a derivative for x(5000-x)/5?
Math(Urgent) - Helper, Sunday, February 27, 2011 at 11:30pm
Yes, your derivative is correct.
Math(Urgent) - khalifa, Saturday, March 16, 2013 at 11:53am
The financial officer for an accounting firm allows Dh 50,000 for computer supplies in the annual budget. After 6 months, Dh 26,200 has been spent on supplies. Is this figure within 55% of the annual budget?

Answer this Question

Related Questions

Math(Urgent) - Compute the maximum product for two positive numbers x and y with...
Math - Compute the maximum product for two positive numbers x and y with the ...
Math(Please, please help) - Compute the maximum product for two positive numbers...
Calculus - Find two positive numbers that satisfy the given requirements. The ...
math-word problems with quadratics - I have 5 questions... 1) The sum of two ...
Grade 8 Math - Can you write them in Mathematical/numbers form I'll solve ...
math help - Five added to three times a number is 29. can someone help me ...
Math - Can someone tell me how to solve my problem? Do I just start plugging in ...
math URGENT!!!! - i have a list of 5 different numbers. the sum of 2 of the ...
math - the sum of two numbers is 51. Twice the first plus 4 times the second is ...

For Further Reading

First Name:
School Subject:
Answer: