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Exercise 6: The Good Furniture makes two products: tah les and chairs, which mustbe processed through assemb ly and finishing dep artments. Assemb ly dep artment is availah le for 60 hours in every production period, while the finishing dep artment is availab le for 48 hours ofwork. Manufacturing one tab le req uires 4 hours in the assemb ly and 2 hours in the finishing, Each chair requires 2 hours in the assemb ly and 4 hours in the finishing, One tab le contrib utes P80 to the profit, while a chair contrib utes P60. The prob lem is to determine the numb er of tab les and chairs to makeper productionperiod, in order to maximize the profit. Exercise 7: A small generator b urns two types of fuel: bw sulfur and high sulfur to produce electricity. For one hour, each galon of bw sulfur emits.3 units of sulfur dioxide, generates 4 kilowatts electricity and costs P60. Eachgalbn of high sulfur emits 5 units of sulfur djexide, generates 4 kilbwatts electricity , and costs P50. The environmentalp rotection agency insists that the maximum amount of sulfur dioxide that ean be emitted per hour is 15 units. Suppose that at least 16 kilowatts electricity mustbegenerated per hour, how many galbns of low sulfur and how many galons of high sulfur mustbe utilized per hour in order to minimize the cost of fuel?. Activity 5: Formulate a linear programming model for a) maximization and b) minimization - b ased on a situationalp rob lem in your organization. 1. Narration of facts 2. Objective function 3. Constraints Sub mit (PM) Exercises 345,6 and 7 on orbefore Saturday and Activity 4 and 5 onor before Tuesday, K****************************NIN ** ****************** ****************

Exercise 6: The Good Furniture makes two products: tah les and chairs, which mustbe processed through assemb ly and finishing dep artments. Assemb ly dep artment is availah le for 60 hours in every production period, while the finishing dep artment is availab le for 48 hours ofwork. Manufacturing one tab le req uires 4 hours in the assemb ly and 2 hours in the finishing, Each chair requires 2 hours in the assemb ly and 4 hours in the finishing, One tab le contrib utes P80 to the profit, while a chair contrib utes P60. The prob lem is to determine the numb er of tab les and chairs to makeper productionperiod, in order to maximize the profit. Exercise 7: A small generator b urns two types of fuel: bw sulfur and high sulfur to produce electricity. For one hour, each galon of bw sulfur emits.3 units of sulfur dioxide, generates 4 kilowatts electricity and costs P60. Eachgalbn of high sulfur emits 5 units of sulfur djexide, generates 4 kilbwatts electricity , and costs P50. The environmentalp rotection agency insists that the maximum amount of sulfur dioxide that ean be emitted per hour is 15 units. Suppose that at least 16 kilowatts electricity mustbegenerated per hour, how many galbns of low sulfur and how many galons of high sulfur mustbe utilized per hour in order to minimize the cost of fuel?. Activity 5: Formulate a linear programming model for a) maximization and b) minimization - b ased on a situationalp rob lem in your organization. 1. Narration of facts 2. Objective function 3. Constraints Sub mit (PM) Exercises 345,6 and 7 on orbefore Saturday and Activity 4 and 5 onor before Tuesday, K****************************NIN ** ****************** ****************

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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Exercise 6: The Good Furniture makes two products: tah les and chairs, which mustbe processed through assemb ly and finishing dep artments. Assemb ly dep artment is availah le for 60 hours in every production period, while the finishing dep artment is availab le for 48 hours ofwork. Manufacturing one tab le req uires 4 hours in the assemb ly and 2 hours in the finishing, Each chair requires 2 hours in the assemb ly and 4 hours in the finishing, One tab le contrib utes P80 to the profit, while a chair contrib utes P60. The prob lem is to determine the numb er of tab les and chairs to makeper productionperiod, in order to maximize the profit. Exercise 7: A small generator b urns two types of fuel: bw sulfur and high sulfur to produce electricity. For one hour, each galon of bw sulfur emits.3 units of sulfur dioxide, generates 4 kilowatts electricity and costs P60. Eachgalbn of high sulfur emits 5 units of sulfur djexide, generates 4 kilbwatts electricity , and costs P50. The environmentalp rotection agency insists that the maximum amount of sulfur dioxide that ean be emitted per hour is 15 units. Suppose that at least 16 kilowatts electricity mustbegenerated per hour, how many galbns of low sulfur and how many galons of high sulfur mustbe utilized per hour in order to minimize the cost of fuel?. Activity 5: Formulate a linear programming model for a) maximization and b) minimization - b ased on a situationalp rob lem in your organization. 1. Narration of facts 2. Objective function 3. Constraints Sub mit (PM) Exercises 345,6 and 7 on orbefore Saturday and Activity 4 and 5 onor before Tuesday, K****************************NIN ** ****************** ****************
Transcribed Image Text:Exercise 6: The Good Furniture makes two products: tah les and chairs, which mustbe processed through assemb ly and finishing dep artments. Assemb ly dep artment is availah le for 60 hours in every production period, while the finishing dep artment is availab le for 48 hours ofwork. Manufacturing one tab le req uires 4 hours in the assemb ly and 2 hours in the finishing, Each chair requires 2 hours in the assemb ly and 4 hours in the finishing, One tab le contrib utes P80 to the profit, while a chair contrib utes P60. The prob lem is to determine the numb er of tab les and chairs to makeper productionperiod, in order to maximize the profit. Exercise 7: A small generator b urns two types of fuel: bw sulfur and high sulfur to produce electricity. For one hour, each galon of bw sulfur emits.3 units of sulfur dioxide, generates 4 kilowatts electricity and costs P60. Eachgalbn of high sulfur emits 5 units of sulfur djexide, generates 4 kilbwatts electricity , and costs P50. The environmentalp rotection agency insists that the maximum amount of sulfur dioxide that ean be emitted per hour is 15 units. Suppose that at least 16 kilowatts electricity mustbegenerated per hour, how many galbns of low sulfur and how many galons of high sulfur mustbe utilized per hour in order to minimize the cost of fuel?. Activity 5: Formulate a linear programming model for a) maximization and b) minimization - b ased on a situationalp rob lem in your organization. 1. Narration of facts 2. Objective function 3. Constraints Sub mit (PM) Exercises 345,6 and 7 on orbefore Saturday and Activity 4 and 5 onor before Tuesday, K****************************NIN ** ****************** ****************
Expert Solution
Step 1

6)

The objective function 
Max (180X + 100Y) 
Subject to 
4X + 2Y <= 60                      (Assembly time constraints)
2X + 4Y => 48                      (Fincihing time constraints) 
X,Y => 0 
Optimality point is 
(12,6) (15,0)(0,12) 
Value of objective function at each point 


At(12,6) = 180×12 + 100×6  At(12,6) = 2760 At(15,0) = 180×15  At(15,0) = 2700 At(0,12) = 100×12  At(0,12) = 1200


The highest value (2760) is obtained at(12,6) 

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