SOLUTION: Profit is determined by P=-45x^3+2500x^2-275000, x is between 0 and 50. Find the smaller x yielding profit of 80000.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Profit is determined by P=-45x^3+2500x^2-275000, x is between 0 and 50. Find the smaller x yielding profit of 80000.      Log On


   

Question 252198: Profit is determined by P=-45x^3+2500x^2-275000, x is between 0 and 50. Find the smaller x yielding profit of 80000.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
There seems to be an error in the question. Based on your profit function, there are no values @ 80,000 between x = 0 and x = 50. If you meant, however, 800,000, we are in business.
Our profit function must = 800,000. So,
-45x%5E3%2B2500x%5E2-275000+=+800000
We set our function = 0 and estimate
-45x%5E3%2B2500x%5E2-1075000+=+0
x = 31.5379 gives us a profit of ~ $800,000.51.
Now if you selling something, we would have to measure in integer units.