Metoden til at løse følgende

Hej, jeg har et problem med at løse følgende:

Jeg er ikke helt klar over metoden til at maximere profitten:

A company produces the same product on two different machines, and the profit (in thousands of kr) by producing on one machine is 100?? − 50??^2 and on the other it is 200?? − 150??^2, where ?? and ?? are the number of products produced (in units of 1000 products) on the first and second machine, respectively.

1. Determine the optimal production, which maximises profit, on the two machines, when the total production capacity is 2000 units of the product, using both machines. It must, of course, also be assumed that the number produced on each of the two machines is greater than or equal to zero.