8. Forbelt Corporation has a one-year contract to supply motors for all refrigeratons around the country: Boston, Dallas, Los Angeles, and St. Paul. Plans call for the followi Chapter 6 Distribution and Network Models duced by the Ice Age Corporation. Ice Age manufactures the refrigerators at four local number (in thousands) of refrigerators to be produced at each location: 50 Boston 70 Dallas 60 Los Angeles St. Paul 80 Forbelt's three plants are capable of producing the motors. The plants and prodeie capacities (in thousands) are as follows: 100 Denver 100 Atlanta 150 Chicago Because of varying production and transportation costs, the profit that Forbelt earns on each lot of 1000 units depends on which plant produced the lot and which destination it was shipped to. The following table gives the accounting department estimates of tue profit per unit (shipments will be made in lots of 1000 units): Shipped To Produced At Boston Dallas Los Angeles St. Paul Denver 11 Atlanta 13 20 8. Chicago 17 10 8. 12 18 16 13 With profit maximization as a criterion, Forbelt's management wants to determine how many motors should be produced at each plant and how many motors should be shipped from each plant to each destination. a. Develop a network representation of this problem. b. Find the optimal solution. O The Ace Manufacturing Company has orders for three similar products: 9. Product Orders 888 8. Forbelt Corporation has a one-year contract to supply motors for all refrigerators r around the country: Boston, Dallas, Los Angeles, and St. Paul. Plans call for the following Chapter 6 Distribution and Network Models pro- duced by the Ice Age Corporation. Ice Age manufactures the refrigerators at four locations number (in thousands) of refrigerators to be produced at each location: 50 Boston 70 Dallas 60 Los Angeles St. Paul 80 Forbelt's three plants are capable of producing the motors. The plants and production capacities (in thousands) are as follows: 100 Denver 100 Atlanta 150 Chicago Because of varying production and transportation costs, the profit that Forbelt earns on each lot of 1000 units depends on which plant produced the lot and which destination it was shipped to. The following table gives the accounting department estimates of the profit per unit (shipments will be made in lots of 1000 units): Shipped To Los Angeles Boston Dallas Produced At St. Paul Denver 11 13 8. Atlanta 20 17 10 12 Chicago 8. 18 16 13 With profit maximization as a criterion, Forbelt's management wants to determiie no many motors should be produced at each plant and how many motors should be shipped from each plant to each destination. a. Develop a network representation of this problem. b. Find the optimal solution. 9. The Ace Manufacturing Company has orders for three similar products: Orders Product (units) 2000 500 88

8. Forbelt Corporation has a one-year contract to supply motors for all refrigeratons around the country: Boston, Dallas, Los Angeles, and St. Paul. Plans call for the followi Chapter 6 Distribution and Network Models duced by the Ice Age Corporation. Ice Age manufactures the refrigerators at four local number (in thousands) of refrigerators to be produced at each location: 50 Boston 70 Dallas 60 Los Angeles St. Paul 80 Forbelt's three plants are capable of producing the motors. The plants and prodeie capacities (in thousands) are as follows: 100 Denver 100 Atlanta 150 Chicago Because of varying production and transportation costs, the profit that Forbelt earns on each lot of 1000 units depends on which plant produced the lot and which destination it was shipped to. The following table gives the accounting department estimates of tue profit per unit (shipments will be made in lots of 1000 units): Shipped To Produced At Boston Dallas Los Angeles St. Paul Denver 11 Atlanta 13 20 8. Chicago 17 10 8. 12 18 16 13 With profit maximization as a criterion, Forbelt's management wants to determine how many motors should be produced at each plant and how many motors should be shipped from each plant to each destination. a. Develop a network representation of this problem. b. Find the optimal solution. O The Ace Manufacturing Company has orders for three similar products: 9. Product Orders 888 8. Forbelt Corporation has a one-year contract to supply motors for all refrigerators r around the country: Boston, Dallas, Los Angeles, and St. Paul. Plans call for the following Chapter 6 Distribution and Network Models pro- duced by the Ice Age Corporation. Ice Age manufactures the refrigerators at four locations number (in thousands) of refrigerators to be produced at each location: 50 Boston 70 Dallas 60 Los Angeles St. Paul 80 Forbelt's three plants are capable of producing the motors. The plants and production capacities (in thousands) are as follows: 100 Denver 100 Atlanta 150 Chicago Because of varying production and transportation costs, the profit that Forbelt earns on each lot of 1000 units depends on which plant produced the lot and which destination it was shipped to. The following table gives the accounting department estimates of the profit per unit (shipments will be made in lots of 1000 units): Shipped To Los Angeles Boston Dallas Produced At St. Paul Denver 11 13 8. Atlanta 20 17 10 12 Chicago 8. 18 16 13 With profit maximization as a criterion, Forbelt's management wants to determiie no many motors should be produced at each plant and how many motors should be shipped from each plant to each destination. a. Develop a network representation of this problem. b. Find the optimal solution. 9. The Ace Manufacturing Company has orders for three similar products: Orders Product (units) 2000 500 88

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 30P

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