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1.2_Tutorial_Exercises_Solution

1.2_Tutorial_Exercises_Solution - Topic 1 Linear...

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Topic 1: Linear Programming ---Reference Solution Chapter 4 Q10 a) Let X i be the number of cars of type i; where i=1 (Sedan), 2 (Hatchback), 3 (Minivan) Minimize Z = 12500 X 1 + 8500X 2 + 13700X 3 Subject to: 10500 X 1 + 9500 X 2 + 12300 X 3 = 2800000 (Note: In order to break even total revenue must equal total cost: 23,000 X 1 + 18,000 X 2 + 26,000 X 3 = 12,500 X 1 + 8,500 X 2 + 13,700 X 3 + 2,800,000 or 10,500 X 1 + 9,500 X 2 + 12,300 X 3 = 2,800,000) X 1 70 (minimum amount of each type of car) X 2 50 X 3 50 X 1 120 (maximum amount of each car production) X 2 120 X 3 120 X 1 , X 2 , X 3 0 (non-negativity) b) By using Lindo to solve the above problem, we get X 1 = 70.00
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