Homework Help is Here – Start Your Trial Now!
Business
Operations Management
(a) Develop the linear programming formulation of this problem. (Let XA₁ be the number of units of product A produced by machine 1, x,, be the number of units of product i produced by machine j, etc.) +1.2%3B +1.2x30 Min 1x14 +1.1x10 +1.2x24 +1.4x2B + 1x2C+0.9x34 +1.3x1B Check which variable(s) should be in your answer. s.t. Machine 1 Capacity Machine 2 Capacity Machine 3 Capacity Product A Orders Product B Orders Product C Orders 1x₁4 +1x1B+1x1c≤1800 X Check which variable(s) should be in your answer. 1x24+1x2B + 1x₂0 ≤1700 X Check which variable(s) should be in your answer. 1x24 + 1x2B + 1x2c≤ 800 X Check which variable(s) should be in your answer. *14+*24 +34 = 2200 X Check which variable(s) should be in your answer. *1B+X₂B+X3B = 300 X Check which variable(s) should be in your answer. *1c+x₂c+x3c=1400 X Check which variable(s) should be in your answer. xi, 2 0 for all i, j. (b) Solve the transportation model for the minimum cost production schedule for the products and machines. Show the production schedule. (XA1 XA2 XA3 XB1 X62 X83 XC1 C2 XC3) = 1400,300,0,0,0,1400,800,0,0 Determine the cost (in dollars) of the production schedule. Total = $ 3910 x X X )

(a) Develop the linear programming formulation of this problem. (Let XA₁ be the number of units of product A produced by machine 1, x,, be the number of units of product i produced by machine j, etc.) +1.2%3B +1.2x30 Min 1x14 +1.1x10 +1.2x24 +1.4x2B + 1x2C+0.9x34 +1.3x1B Check which variable(s) should be in your answer. s.t. Machine 1 Capacity Machine 2 Capacity Machine 3 Capacity Product A Orders Product B Orders Product C Orders 1x₁4 +1x1B+1x1c≤1800 X Check which variable(s) should be in your answer. 1x24+1x2B + 1x₂0 ≤1700 X Check which variable(s) should be in your answer. 1x24 + 1x2B + 1x2c≤ 800 X Check which variable(s) should be in your answer. *14+*24 +34 = 2200 X Check which variable(s) should be in your answer. *1B+X₂B+X3B = 300 X Check which variable(s) should be in your answer. *1c+x₂c+x3c=1400 X Check which variable(s) should be in your answer. xi, 2 0 for all i, j. (b) Solve the transportation model for the minimum cost production schedule for the products and machines. Show the production schedule. (XA1 XA2 XA3 XB1 X62 X83 XC1 C2 XC3) = 1400,300,0,0,0,1400,800,0,0 Determine the cost (in dollars) of the production schedule. Total = $ 3910 x X X )

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
See similar textbooks
icon
Related questions
Question
100%
The Ace Manufacturing Company has orders for three similar products. Orders (units) Product A B с 1 2 Machine 3 A Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A B B IC c с Product 1 2 2,200 3 300 1,400 Capacity (units) 1,800 1,700 800 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20
Transcribed Image Text:The Ace Manufacturing Company has orders for three similar products. Orders (units) Product A B с 1 2 Machine 3 A Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A B B IC c с Product 1 2 2,200 3 300 1,400 Capacity (units) 1,800 1,700 800 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20
(a) Develop the linear programming formulation of this problem. (Let XA1 be the number of units of product A produced by machine 1, x; be the number of units of product i produced by machine j, etc.) X₁ Min 1x14 +1.3x1B + 1.1x10+1.2x24 +1.4x2B + 1x2c +0.9x34 +1.2x3B+1.2x30 Check which variable(s) should be in your answer. s.t. Machine 1 Capacity Machine 2 Capacity Machine 3 Capacity Product A Orders Product B Orders Product C Orders 1x14+ 1x1B + 1x1C ≤ 1800 X Check which variable(s) should be in your answer. 1x24 + 1x2B + 1x2C≤1700 X Check which variable(s) should be in your answer. 1x24+ 1x2B + 1x₂C≤800 X Check which variable(s) should be in your answer. *14+*24+x34 = 2200 X Check which variable(s) should be in your answer. |X1B+X2B+X3B = 300 X Check which variable(s) should be in your answer. |*1c+x₂c + x3c=1400| X Check which variable(s) should be in your answer. X X¡i¡ 2 0 for all i, j. (b) Solve the transportation model for the minimum cost production schedule for the products and machines. Show the production schedule. (XA1¹ XA2¹ ×A3¹ ×81¹ ×82¹ ×83¹ ×C1₁¹ *c2′ Xc3) = ( 1400,300,0,0,0,1400,800,0,0 |x) Determine the cost (in dollars) of the production schedule. Total = $ 3910 X
Transcribed Image Text:(a) Develop the linear programming formulation of this problem. (Let XA1 be the number of units of product A produced by machine 1, x; be the number of units of product i produced by machine j, etc.) X₁ Min 1x14 +1.3x1B + 1.1x10+1.2x24 +1.4x2B + 1x2c +0.9x34 +1.2x3B+1.2x30 Check which variable(s) should be in your answer. s.t. Machine 1 Capacity Machine 2 Capacity Machine 3 Capacity Product A Orders Product B Orders Product C Orders 1x14+ 1x1B + 1x1C ≤ 1800 X Check which variable(s) should be in your answer. 1x24 + 1x2B + 1x2C≤1700 X Check which variable(s) should be in your answer. 1x24+ 1x2B + 1x₂C≤800 X Check which variable(s) should be in your answer. *14+*24+x34 = 2200 X Check which variable(s) should be in your answer. |X1B+X2B+X3B = 300 X Check which variable(s) should be in your answer. |*1c+x₂c + x3c=1400| X Check which variable(s) should be in your answer. X X¡i¡ 2 0 for all i, j. (b) Solve the transportation model for the minimum cost production schedule for the products and machines. Show the production schedule. (XA1¹ XA2¹ ×A3¹ ×81¹ ×82¹ ×83¹ ×C1₁¹ *c2′ Xc3) = ( 1400,300,0,0,0,1400,800,0,0 |x) Determine the cost (in dollars) of the production schedule. Total = $ 3910 X
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 12 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.
SEE MORE TEXTBOOKS