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Unit 1 -HW _1 Solutions

# Unit 1 -HW _1 Solutions - Unit 1 HW 1 Solution Key Section...

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Unit 1 HW 1 – Solution Key Section 3.1 Q 2. Answer the questions about Problem 1 1. Decision Variables Let the number of acres of Corn to be planted 1 X Let the number of acres of Wheat to be planted 2 X 2. Objective Function- Maximize total revenue Max Z = (3x 10) 1 X + (4x 25) 2 X Max Z = 30 1 X + 100 2 X 3. Constraints 1 C : Labor Constraint 4 1 X + 10 2 X 40 2 2 C : Land Constraint 1 X + 2 X 7 2 3 C : Government Regulation Constraint 1 X (30/10) 2 => 1 X 3 2 4. Sign Restrictions 1 2 0 0 X X C C (a). Is ( 1 X =2 , 2 X =3 ) in the feasible region ? Satisfies C 1 -C 2 and sign restrictions but not C 3 therefore No (b) Is ( 1 X =4, 2 X =3) in the feasible region? Satisfies C 2 -C 3 and sign restrictions but not C 1 therefore No (c) Is ( 1 X =2, 2 X = -1) in the feasible region? Satisfies C 1 -C 2 not the sign restrictions and C 3 therefore No (d) Is ( 1 X =3, 2 X = 2) in the feasible region? Satisfies C 1 -C 3 and the sign restrictions therefore Yes ……………………………………………………………………………………………… IE 280- HW # 1 Unit 1

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