# HW-3
Part 1 (15 points: 3 points for each problem)
You don’t need to solve the f

Posted: January 27th, 2023

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HW-3

Part 1 (15 points: 3 points for each problem)

You don’t need to solve the following questions using either Solver or Analytic Solver.

Define the decision variables, the objective functions, and the constraints for all problems.

Problem #13 (P 116):

(a) Define the decision variables, (b) Define the objective functions, (c) Define the constraints

Problem #15 (P 117)

(a) Define the decision variables, (b) Define the objective functions, (c) Define the constraints

Problem #18 (P 118)

(a) Define the decision variables, (b) Define the objective functions, (c) Define the constraints

Problem #20 (P 119)

(a) Define the decision variables, (b) Define the objective functions, (c) Define the constraints

Problem #21 (P 119)

(a) Define the decision variables, (b) Define the objective functions, (c) Define the constraints

Part 2 (5 points)

Determine an optimal solution using either Solver or Analytic Solver.

1.Let X1 = number of softballs to produce, X2 = number of baseballs to produce (2 points)

MAX6 X1 + 4.5 X2

ST5X1 + 4 X26000

6 X1 + 3 X25400

4 X1 + 2 X24000

2.5 X1 + 2 X23500

1 X1 + 1 X21500

X1, X20

Answer: X1 = , X2 = , Objective function =

2.Let M1 = number of electric trimmers to make (3 points)

M2 = number of gas trimmers to make

B1 = number of electric trimmers to buy

B2 = number of gas trimmers to buy

MIN55M1 + 85M2 + 67B1 + 95B2

STM1 + B1 = 30,000

M2 + B2 = 15,000

0.20M1 + 0.40M2 10,000

0.30M1 + 0.50M2 15,000

0.10M1 + 0.10M2 5,000

M1,M2,B1,B2 0

Answer: M1 = , M2 = ,B1= , B2=

Objective function =

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