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A Manufacturing-Production Planning An oil refinery produces gasoline, jet fuel, and diesel fuel. The profits per gallon from the sale of these fuels are $0.15, $0.12, and 50.10 respectively. The refinery has a contract with an airline to deliver a minimum of 20,000 gallons per of jet fuel and/or gasoline (or some of each). The refinery has a contract with a trucking firm to deliver a minimum of 50,000 gallons per day of jet fuel and/or gasoline (or some of each). The refinery can produce 100,000 gallons of fuel per day, distributed among the fuels in a fashion. It wishes to produce at least 5,000 gallons per day of each type of fuel. How many gallons of each should be produced daily in order to maximize the profit? Let g-the number of gallons of gasoline produced daily. Letj-the number of gallons of jet fuel produced daily, and Let d the number of diesel gallons produced daily Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Maximize Profit, P-0.15g +0.12j+0.10d Constraints: g+j+d<20,000, g+j+d<50,000, g+j+d<100,000, g>- 5,000, O Objective Function: Maximize Profit, P-0.15g +0.12j+0.10d Constraints: g+j+d>20,000, g+j+d>50,000, g+j+d<100,000, g-5,000, O Objective Function: Maximize Profit, P-0.15g +0.12j+0.10d Constraints: g+j+d>20,000, g+j+d>50,000, g+j+d<100,000, g>- 5,000, O Obiective Function: Maximize Profit. P-0.15g +0.121 +0.10d j>- 5,000,d >= 5,000, g >= 0,j >= 0, d >= 0 j-5,000, d-5,000, g>-0, j>-0, d >= 0 j>- 5,000, d>- 5,000, g>-0. j>-0, d>0

A Manufacturing-Production Planning An oil refinery produces gasoline, jet fuel, and diesel fuel. The profits per gallon from the sale of these fuels are $0.15, $0.12, and 50.10 respectively. The refinery has a contract with an airline to deliver a minimum of 20,000 gallons per of jet fuel and/or gasoline (or some of each). The refinery has a contract with a trucking firm to deliver a minimum of 50,000 gallons per day of jet fuel and/or gasoline (or some of each). The refinery can produce 100,000 gallons of fuel per day, distributed among the fuels in a fashion. It wishes to produce at least 5,000 gallons per day of each type of fuel. How many gallons of each should be produced daily in order to maximize the profit? Let g-the number of gallons of gasoline produced daily. Letj-the number of gallons of jet fuel produced daily, and Let d the number of diesel gallons produced daily Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Maximize Profit, P-0.15g +0.12j+0.10d Constraints: g+j+d<20,000, g+j+d<50,000, g+j+d<100,000, g>- 5,000, O Objective Function: Maximize Profit, P-0.15g +0.12j+0.10d Constraints: g+j+d>20,000, g+j+d>50,000, g+j+d<100,000, g-5,000, O Objective Function: Maximize Profit, P-0.15g +0.12j+0.10d Constraints: g+j+d>20,000, g+j+d>50,000, g+j+d<100,000, g>- 5,000, O Obiective Function: Maximize Profit. P-0.15g +0.121 +0.10d j>- 5,000,d >= 5,000, g >= 0,j >= 0, d >= 0 j-5,000, d-5,000, g>-0, j>-0, d >= 0 j>- 5,000, d>- 5,000, g>-0. j>-0, d>0

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...
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A Manufacturing-Production Planning An oil refinery produces gasoline, jet fuel, and diesel fuel. The profits per gallon from the sale of these fuels are $0.15, $0.12, and $0.10 respectively. The refinery has a contract with an airline to deliver a minimum of 20,000 gallons per day of jet fuel and/or gasoline (or some of each). The refinery has a contract with a trucking firm to deliver a minimum of 50,000 gallons per day of jet fuel and/or gasoline (or some of each). The refinery can produce 100,000 gallons of fuel per day, distributed among the fuels in any fashion. It wishes to produce at least 5,000 gallons per day of each type of fuel. How many gallons of each should be produced daily in order to maximize the profit? Let g = the number of gallons of gasoline produced daily, Let j = the number of gallons of jet fuel produced daily, and Let d = the number of diesel gallons produced daily Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Maximize Profit, P = 0.15g +0.12j + 0.10d Constraints: g+j+d <= 20,000, g+j+d<= 50,000, g+j+d<= 100,000, g >= 5,000, O Objective Function: Maximize Profit, P = 0.15g +0.12j + 0.10d Constraints: g+j+d >= 20,000, g+j+d>= 50,000, g+j+d<= 100,000, g = 5,000, O Objective Function: Maximize Profit, P = 0.15g +0.12j + 0.10d Constraints: g+j+d >= 20,000, g+j+d >= 50,000, g+j+d <= 100,000, g >= 5,000, O Objective Function: Maximize Profit, P = 0.15g +0.12j+0.10d Constraints: g+j+d<= 20,000, g+j+d<= 50,000, g+j+d>= 100,000, g <= 5,000, j>= 5,000, d >= 5,000, g >= 0, j >= 0, d >= 0 j=5,000, d = 5,000, g >= 0, j >= 0, d >= 0 j>= 5,000, d >= 5,000, g >= 0, j >= 0, d >= 0 j<= 5,000, d <= 5,000, g >= 0, j >= 0, d >= 0
Transcribed Image Text:A Manufacturing-Production Planning An oil refinery produces gasoline, jet fuel, and diesel fuel. The profits per gallon from the sale of these fuels are $0.15, $0.12, and $0.10 respectively. The refinery has a contract with an airline to deliver a minimum of 20,000 gallons per day of jet fuel and/or gasoline (or some of each). The refinery has a contract with a trucking firm to deliver a minimum of 50,000 gallons per day of jet fuel and/or gasoline (or some of each). The refinery can produce 100,000 gallons of fuel per day, distributed among the fuels in any fashion. It wishes to produce at least 5,000 gallons per day of each type of fuel. How many gallons of each should be produced daily in order to maximize the profit? Let g = the number of gallons of gasoline produced daily, Let j = the number of gallons of jet fuel produced daily, and Let d = the number of diesel gallons produced daily Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Maximize Profit, P = 0.15g +0.12j + 0.10d Constraints: g+j+d <= 20,000, g+j+d<= 50,000, g+j+d<= 100,000, g >= 5,000, O Objective Function: Maximize Profit, P = 0.15g +0.12j + 0.10d Constraints: g+j+d >= 20,000, g+j+d>= 50,000, g+j+d<= 100,000, g = 5,000, O Objective Function: Maximize Profit, P = 0.15g +0.12j + 0.10d Constraints: g+j+d >= 20,000, g+j+d >= 50,000, g+j+d <= 100,000, g >= 5,000, O Objective Function: Maximize Profit, P = 0.15g +0.12j+0.10d Constraints: g+j+d<= 20,000, g+j+d<= 50,000, g+j+d>= 100,000, g <= 5,000, j>= 5,000, d >= 5,000, g >= 0, j >= 0, d >= 0 j=5,000, d = 5,000, g >= 0, j >= 0, d >= 0 j>= 5,000, d >= 5,000, g >= 0, j >= 0, d >= 0 j<= 5,000, d <= 5,000, g >= 0, j >= 0, d >= 0
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