you want to maximize p=2200x+2700y
subject to
2x+5y <= 70
4x+y <= 50
3x+4y <= 90
Now just graph the constraint lines, and evaluate p at each vertex where they intersect.
2. A factory manufactures two products each requiring the use of three machines. The machine A can be used at most 70 hours; the machine B at most 50 hours; and the machine C at most 90 hours. The first product requires 2 hours on machine A, 4 hours on machine B, and 3 hours on machine C; the second product requires 5 hours on machine A, 1 hour on machine B; and 4 hours on machine C. If the profit is 2,200 per unit for the first product and 2,700 units for the second product, how many units of each product should be manufacture to maximize profit
1 answer