Identify the decision variables, objective function, and constraints in simple verbal statements. Mathematically formulate a linear optimization model. Please show Step 2 in Excel

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 107P
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The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below:

Material (measured in square inches)

Model 1

Model 2

Model 3

Material Available

Cardstock

  12

  10

  14

1,200

Satin

  24

  20

  15

2,000

Plain fabric

  40

  40

  30

7,500

Leather

  11

  11

  10

1,000

Profit per model

$50

$44

$40

 
  1. Identify the decision variables, objective function, and constraints in simple verbal statements.

  2. Mathematically formulate a linear optimization model.

  3. Please show Step 2 in Excel

    Note:-

    • Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.
    • Answer completely.
    • You will get up vote for sure.
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