Question

For the given model:

Max Z = 34x + 45y:

2x + 4y = 500

5x + 6y = 400

What is the name of the point where x and y values are the same for both constraints? _______ _______ _______

Answer 1

2x = 500 - 4y
x = 250 - y

5(250 - y) + 6y = 400
1250 - 5y + 6y = 400
1250 + y = 400
y = -850

x = 250 - (-850)
x = 1110

z = 34 x 1110 + 45 x (-850)
z = 37740 + (-38250)
z = - 510

x = 1110
y = -850
z= -510