Question: Solve the following problem graphically. Max X + 2Y s.t. 6X + 8Y 48 7X + 5Y 35 X, Y 0 Y is integer a.

  1. Solve the following problem graphically.

Max

X + 2Y

s.t.

6X + 8Y 48

7X + 5Y 35

X, Y 0

Y is integer

a.

Graph the constraints for this problem. Indicate all feasible solutions.

b.

Find the optimal solution to the LP Relaxation. Round down to find a feasible integer solution. Is this solution optimal?

c.

Find the optimal solution.

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