Current location - Training Enrollment Network - Mathematics courses - A simple math problem. The profit of producing X commodities is L (x) = 5000+x-0.005438+0x square (yuan). How many pieces can be produced to get the maximum profit?
A simple math problem. The profit of producing X commodities is L (x) = 5000+x-0.005438+0x square (yuan). How many pieces can be produced to get the maximum profit?
Because l (x) = 5000+x-0.0000 1x 2.
So the derivative is l (x) =1-0.00002x.
Let l(x)=0 and X= 1/0.00002=50000.
Conclusion: When 50,000 pieces are produced, the profit is the largest.