Acompany produces steel boxes at three different plants in amounts x, y and z respectively, producing an annual revenue of f(x, y,z) = the company is to produce 100 units annually. determine the production schedule for maximum revenue.

Maximize subject to . The Lagrangian is



with partial derivatives (set equal to 0):






From the first two equations it follows that . Subtracting either the first or second equation from the third tells us that



which means either , , or .

If , then , so that . So one critical point is (0, 0, 100).

If , then . So another critical point is (50, 50, 0).

If , then . So our third critical point is (25, 25, 50).

Evaluate the revenue function for each of these three critical points. You'll find that the latter critical point achieves the maximum value of 12,480,000 in revenue.

The answer is c because you turn 17.5% into a decimal which gives you .175 then you times that by $361.35 which gives you 63.23625 but then you round that which gives you 63.24. then you at 63.24 pulse 361.35 and you round it which gives you $425

The volume is 56.8 triangular the