Question: Homework problem #3-55 has the following linear programming model formulation: maximize Z = $12 x 1 + 8 x 2 + 10 x 3 +

Homework problem #3-55 has the following linear programming model formulation:

maximize Z = $12x1 + 8x2 + 10x3 + 6x4 subject to:

flour: 2x1 + 9x2 + 1.3x3 + 2.5x4 74 cups

sugar: 2x1 + .25x2 + 1x3 + 1x4 24 cups

eggs: 2x1 + 0x2 + 5x3 + 2x4 36 eggs

oven: 45x1 + 35x2 + 50x3 + 16x4 480 mins

x1, x2, x3, x4 0

where x1 = # cakes, x2 = # breads, x3 = #pies and x4 = #cookies

Here's part of the Sensitivity Report:

Homework problem #3-55 has the following linear

What is the maximum amount Tracy should pay for 30 more minutes of oven time?

Here's part of the Sensitivity Report: Constraints Cell Name SH$6 Flour Used SH$7 Sugar Used SH$8 Eggs Used $H$9 Oven time Used Final Value 74 21.4 36 480 Shadow Price 0.08 0.00 1.24 0.21 Constraint Allowable R.H. Side Increase 74 20.37 24 1E+30 36 7.17 480 79.32 Allowable Decrease 26.08 2.60 25.67 79.22

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