10) Consider the following linear programming problem Max                         8X + 7Y s.t.                            15X + 5Y < 75                                   10X + 6Y < 60                                   X + Y < 8                                   X, Y ³ 0 Use a graph to show each constraint and the feasible region. b. Identify the optimal solution point on your graph. What are the values of X and Y at the optimal solution? c. What is the optimal value of the objective function?

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10) Consider the following linear programming problem


Max                         8X + 7Y
s.t.                            15X + 5Y < 75
                                  10X + 6Y < 60
                                  X + Y < 8
                                  X, Y ³ 0


  1. Use a graph to show each constraint and the feasible region.
    b. Identify the optimal solution point on your graph. What are the values of X and Y
    at the optimal solution?
    c. What is the optimal value of the objective function?
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