The solution of the system is (400, 3,200). how would you interpret this solution?

true? is that what you're asking or do you mean something else?

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints