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Problem 3-23 (Algorithmic) Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are...
Need A-D Vollmer Manufacturing makes three components for sale to refrigeration companies. T...
Need A-D
Vollmer Manufacturing makes three components for sale to
refrigeration companies. The components are processed on two
machines: a shaper and a grinder. The times (in minutes) required
on each machine are as follows:
Machine
Component Shaper Grinder
1 6 4
2 4 5
3 4 2
The shaper is available for 120 hours, and the grinder for 110
hours. No more than 200 units of component 3 can be sold, but up to
1,000 units of each of...
Given the following LP problem formulation and output data, perform the analysis below. Max. 100X1 +...
Given the following LP problem formulation and output data, perform the analysis below. Max. 100X1 + 120X2 + 150X3 + 125X4 s.t X1 + 2X2 + 2X3 + 2X4 < 108 (C1) 3X1 + 5X2 + X4 < 120 (C2) X1 + X3 < 25 (C3) X2 + X3 + X4 > 50 (C4) OPTIMAL SOLUTION: Objective Function Value = 7475.000 Variable Value Reduced Costs X1 8.000 0.500 X2 0.000 5.000 X3 17.000 0.000 X4 *A...
Problem 3-13 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard...
Problem 3-13 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $59, $89, and $137, respectively. The production requirements per unit are as follows: Number of Fans Number of Cooling Coils Manufacturing Time (hours) Economy 1 1 8 Standard 1 2 12 Deluxe 1 4 14 For the coming production period, the company has 240 fan motors, 380 cooling coils, and 2500 hours of manufacturing...
The LP problem whose output follows determines how many necklaces, bracelets, rings, and earrings a jewelry...
The LP problem whose output follows determines how many necklaces, bracelets, rings, and earrings a jewelry store should stock. The objective function measures profit; it is assumed that every piece stocked will be sold.Constraint 1 measures display space in units, constraint 2 measures time to set up the display in minutes. Constraints 3 and 4 are marketing restrictions. using excel solver: To what value can the profit on ring increases before the solution would change? LINEAR PROGRAMMING PROBLEM MAX 100X1+120X2+150X3+125X4...
Use the information in Problem #7 in Chapter 12 (Vollmer Manufacturing) to answer the following questions....
Use the information in Problem #7 in Chapter 12 (Vollmer Manufacturing) to answer the following questions. #1.1 The profit maximizing values of the variables are Component 1 :- and Component 3- nent 2- #1.2 Now suppose we can purchase a new Shaper machine such that the time utilization rates are reduced from 6, 4,4 to 5, 3,4. How much would you be willing to pay for the new Shaper machine? Use the information in Problem #11 in Chapter 15 to...
Interpreting an LP output after solving the problem using the software. The following linear programming problem has been solved using the software. Use the output to answer the questi...
Interpreting an LP output after solving the problem using the software. The following linear programming problem has been solved using the software. Use the output to answer the questions below. LINEAR PROGRAMMING PROBLEM: MAX 25X1+30X2+15X3 S.T. 1) 4X1+5X2+8X3<1200 2) 9X1+15X2+3X3<1500 OPTIMAL SOLUTION: Objective Function Value = 4700.000 Variable Value Reduced Costs X1 140.000 0.000 X2 0.000 10.000 X3 80.000 0.000 Constraint Slack/Surplus Dual Prices 1 0.000 1.000 2 0.000 2.333 OBJECTIVE COEFFICIENT RANGES: Variable Lower Limit Current Value Upper Limit...
Given the following output, what would happen if the coefficient of X2 increased by 1 LINEAR...
Given the following output, what would happen if the coefficient of X2 increased by 1 LINEAR PROGRAMMING PROBLEM MAX 31X1+35X2+32X3 S.T 1) 3X1+5X2+2X3>90 2) 6X1 7X2+8X3<150 3) 5x1+3X2+3X3120 OPTIMAL SOLUTION Objective Function Value 763.333 Variable Value Reduced 13.333 0,000 10.000 0.000 0.000 10.889 X1 X2 X3 Constraint Slack/Surplus Dual Price 0.000 0.000 23.333 0.778 5.556 0.000 OBJECTIVE COEFFICIENT RANGES Lower Current Upper Limit Value Limit No X1 30.000 31000 Upper Limit No X2 Lower 35.000 36.167 Limit No Limit X3...
A company that manufactures three products, A. & and using three machines, M1, M2, and M3,...
A company that manufactures three products, A. & and using three machines, M1, M2, and M3, wants to determine the optimal production schedule the maximizes the total profit. Product A has to be processed by machines M1, M2, and M3, product B requires M1 and M3, while product requires M1 and M2. The unit profits on the three products are $5,54 and 56, respectively. The following linear program is formulated to determine the optimal product mic Maximize S. Z-5x -...
8.) Hungry Birds, Inc. manufactures birdseed. One variety consists of wheat. They are trying to determine the optimal...
8.) Hungry Birds, Inc. manufactures birdseed. One variety consists of wheat. They are trying to determine the optimal mix of buckwheat (X1), sunflower (X2), and poppy (X3) (each in lbs.). Relevant information is provided in the following table. In addition, the final mix is required to contain at least 500 lbs. of poppy. Also, the total weight of the buckwheat may not exceed the total weight of the sunflower in the final mix. Nutritional Item Proportional Content Total Requirement Buckwheat Sunflower Poppy Fat 0.04 0.06 0.05 480 Protein 0.12 0.10 0.10 1200 Roughage 0.10 0.15 0.07 1500 Cost/lb. $0.18 $0.10 $0.11 The...
Problem 7-11 (Algorithmic) Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments:...
Problem 7-11 (Algorithmic) Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows: Department Product 1 Product 2 Product 3 A 1.60 3.10 2.10 B 2.20 1.20 2.70 C 0.35 0.35 0.35 During the next production period, the labor-hours available are 470 in department A, 370 in department B, and 70 in department C. The profit contributions per unit are $27 for product 1, $30...
Need A-D
Vollmer Manufacturing makes three components for sale to
refrigeration companies. The components are processed on two
machines: a shaper and a grinder. The times (in minutes) required
on each machine are as follows:
Machine
Component Shaper Grinder
1 6 4
2 4 5
3 4 2
The shaper is available for 120 hours, and the grinder for 110
hours. No more than 200 units of component 3 can be sold, but up to
1,000 units of each of...
Use the information in Problem #7 in Chapter 12 (Vollmer Manufacturing) to answer the following questions. #1.1 The profit maximizing values of the variables are Component 1 :- and Component 3- nent 2- #1.2 Now suppose we can purchase a new Shaper machine such that the time utilization rates are reduced from 6, 4,4 to 5, 3,4. How much would you be willing to pay for the new Shaper machine? Use the information in Problem #11 in Chapter 15 to...
Given the following output, what would happen if the coefficient of X2 increased by 1 LINEAR PROGRAMMING PROBLEM MAX 31X1+35X2+32X3 S.T 1) 3X1+5X2+2X3>90 2) 6X1 7X2+8X3<150 3) 5x1+3X2+3X3120 OPTIMAL SOLUTION Objective Function Value 763.333 Variable Value Reduced 13.333 0,000 10.000 0.000 0.000 10.889 X1 X2 X3 Constraint Slack/Surplus Dual Price 0.000 0.000 23.333 0.778 5.556 0.000 OBJECTIVE COEFFICIENT RANGES Lower Current Upper Limit Value Limit No X1 30.000 31000 Upper Limit No X2 Lower 35.000 36.167 Limit No Limit X3...
A company that manufactures three products, A. & and using three machines, M1, M2, and M3, wants to determine the optimal production schedule the maximizes the total profit. Product A has to be processed by machines M1, M2, and M3, product B requires M1 and M3, while product requires M1 and M2. The unit profits on the three products are $5,54 and 56, respectively. The following linear program is formulated to determine the optimal product mic Maximize S. Z-5x -...
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