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Kevin McShane 12/5/06 Homework Presentation 8-10 Pricing and Marketing Strategy Problem Kruger Paint & Wallpaper Objective – Maximize Sale of Rolls X1 = Advertising Costs X2 = Indoor Display Costs X3 = Wallpaper Inventory X4 = Percent of Markup.
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Kevin McShane 12/5/06 • Homework Presentation 8-10 Pricing and Marketing • Strategy Problem • Kruger Paint & Wallpaper • Objective – Maximize Sale of Rolls • X1 = Advertising Costs • X2 = Indoor Display Costs • X3 = Wallpaper Inventory • X4 = Percent of Markup
Maximize 20X1 + 6.8X2 + 12X3 + (-65,000)X4 • Subject to constraints: • X1 + X2 + X3 less than or equal to 17,000 • X1 greater than or equal to 3000 • X2 greater than or equal to .05X3 • X2 - .05X3 greater than or equal to 0 • X4 greater than or equal to .20 • X4 less than or equal to .45
a) X1 X2 X3 X4 RHS Dual Maximize 20 6.8 12 -65000 Constraint 1 1 1 1 0 <= 17000 20 Constraint 2 1 0 0 0 >= 3000 0 Constraint 3 0 1 -0.05 0 >= 0 -13.2 Constraint 4 0 0 0 1 >= 0.2 -65000 Constraint 5 0 0 0 1 <= 0.45 0 b) Solution-> 17000 0 0 0.2 327,000. c) The difficulty with the answer is that there are no values for X2 and X3? d) Additional constraint could be that they each have a minimal value.