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Your problem is to find the optimal solution to the following linear programming model where X,...

Your problem is to find the optimal solution to the following linear programming model where X, Y and Z represent the amounts of products X, Y and Z to produce in order to minimize some cost.

Min 4X + 2Y + 6Z

s.t.

6X + 7Y + 10Z ≤ 80                  (1)

2X + 4Y + 3Z ≤ 35                  (2)

4X + 3Y + 4Z ≥ 30                 (3)

3X + 2Y + 6Z ≥ 40                 (4)

       X,Y,Z ≥ 0

The values in the above model are not yet entered on the spreadsheet

please solve in excel and show work, need help

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