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Problem 8-02 (Algorithmic) Consider the problem 2x18x + 2XY Y- 18Y +53 Min s.t. X 4Y...
Problem 8-02 (Algorithmic) Consider the problem Min 2x2 18X2XY - 18Y58 X 4Y 8 s.t. a....
Problem 8-02 (Algorithmic) Consider the problem Min 2x2 18X2XY - 18Y58 X 4Y 8 s.t. a. Find the minimum solution to this problem. If required, round your answers to two decimal places. for an optimal solution value of Optimal solution is X Y b. If the right-hand side of the constraint is increased from 8 to 9, how much do you expect the objective function to change? If required, round your answer to two decimal places c. Resolve the problem...
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...
Problem 3-23 (Algorithmic) Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are...
Problem 3-23 (Algorithmic) 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 Shaper Grinder Component 1 4 2 5 3 2 The shaper is available for 130 hours, and the grinder is available for 85 hours. No more than 350 units of component 3 can be sold, but up to 1050 units of each of...
Consider the following linear program Max 3xl +2x2 S.t 1x1 + 1x2 〈 10 3x1 1x2...
Consider the following linear program Max 3xl +2x2 S.t 1x1 + 1x2 〈 10 3x1 1x2 〈 24 1xl t 2x2< 16 And xl, x2> 0. a) Use Excel Solver to find the optimal solution to this problem. State the optimal values of xl, x2, and Z. b) Assume that the objective function coefficient for xl changes from 3 to 5. Does the optimal solution change? c) Assume that the objective function coefficient for x1 remains 3, but the objective...
Problem 3-02 (Algorithmic) Consider the following linear program: Max 3A 2B 1A 1B s 12 1A...
Problem 3-02 (Algorithmic) Consider the following linear program: Max 3A 2B 1A 1B s 12 1A 2B s 20 A, B 2 0 The value of the optimal solution is 31. Spose that the right-hand side of the constraint 1 is increased from 12 to 13. a. Use the graphical solution procedure to find the new optimal solution. 26 Optimal Solahion A6584 2B-325 28-39 20 12-14 16 11 1012 14 1618 nv) B Optimal Solution 23-26 26 30 2 34...
M 4. Consider the utility maximization problem max U(x,y) = x +y s.t. x + 4y...
M 4. Consider the utility maximization problem max U(x,y) = x +y s.t. x + 4y = 100. (a) Using the Lagrange method, find the quantities demanded of the two goods. (b) Suppose income increases from 100 to 101. What is the exact increase in the optimal value of U(x, y)? Compare with the value found in (a) for the Lagrange multiplier. (C) Suppose we change the budget constraint to px + y = m, but keep the same utility...
Problem 3-12 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $69, 91, and $127, respe...
Problem 3-12 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $69, 91, and $127, respectively. The production requirements per unit are as follows: Number ofNumber of Manufacturing Fans Cooling Coils Time (hours) Economy 8 Standard 12 Deluxe 14 4 For the coming production period, the company has 200 fan motors, 340 cooling coils, and 2800 hours of manufacturing time available. How many economy models...
Problem 1-09 (Algorithmic) Suppose the following is the mathematical model: Max 11>x ax 55 where a...
Problem 1-09 (Algorithmic) Suppose the following is the mathematical model: Max 11>x ax 55 where a is the number of hours required for each unit produced with a = 4, the optimal solution is x = 13.75. If we have a stochastic model with a = 2, a = 3, a = 4, or a-5 as the possible values for the number of hours required per unit, what is the optimal value for x? Round your answers for the optimal...
Problem 3-12 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $67, $93, and $129,...
Problem 3-12 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $67, $93, and $129, respectively. The production requirements per unit are as follows: Number of Manufacturing Number of Cooling Coils Time (hours) Fans Economy Standard 12 Deluxe 14 For the coming production period, the company has 250 fan motors, 360 cooling coils, and 1800 hours of manufacturing time available. How many economy models (E),...
business Problem 2-19 Consider the finear program Max 34 + 40 s.t. 1A+ 28s 8 1A28s 12 2A+ 18s 16 A, 82 0 or leave...
business
Problem 2-19 Consider the finear program Max 34 + 40 s.t. 1A+ 28s 8 1A28s 12 2A+ 18s 16 A, 82 0 or leave the box blank the model, enter 0 for a. Write the problem in standard form, For those boxes n which you must enter sueractive or neostive nmbers use a meus sign, (Example:-300) f you dot need the vanable A. S e S St Max s.t. s A+ S A+ A, B, St, Sa, S b....
Problem 8-02 (Algorithmic) Consider the problem Min 2x2 18X2XY - 18Y58 X 4Y 8 s.t. a. Find the minimum solution to this problem. If required, round your answers to two decimal places. for an optimal solution value of Optimal solution is X Y b. If the right-hand side of the constraint is increased from 8 to 9, how much do you expect the objective function to change? If required, round your answer to two decimal places c. Resolve the problem...
Problem 3-23 (Algorithmic) 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 Shaper Grinder Component 1 4 2 5 3 2 The shaper is available for 130 hours, and the grinder is available for 85 hours. No more than 350 units of component 3 can be sold, but up to 1050 units of each of...
Consider the following linear program Max 3xl +2x2 S.t 1x1 + 1x2 〈 10 3x1 1x2 〈 24 1xl t 2x2< 16 And xl, x2> 0. a) Use Excel Solver to find the optimal solution to this problem. State the optimal values of xl, x2, and Z. b) Assume that the objective function coefficient for xl changes from 3 to 5. Does the optimal solution change? c) Assume that the objective function coefficient for x1 remains 3, but the objective...
Problem 3-02 (Algorithmic) Consider the following linear program: Max 3A 2B 1A 1B s 12 1A 2B s 20 A, B 2 0 The value of the optimal solution is 31. Spose that the right-hand side of the constraint 1 is increased from 12 to 13. a. Use the graphical solution procedure to find the new optimal solution. 26 Optimal Solahion A6584 2B-325 28-39 20 12-14 16 11 1012 14 1618 nv) B Optimal Solution 23-26 26 30 2 34...
M 4. Consider the utility maximization problem max U(x,y) = x +y s.t. x + 4y = 100. (a) Using the Lagrange method, find the quantities demanded of the two goods. (b) Suppose income increases from 100 to 101. What is the exact increase in the optimal value of U(x, y)? Compare with the value found in (a) for the Lagrange multiplier. (C) Suppose we change the budget constraint to px + y = m, but keep the same utility...
Problem 3-12 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $69, 91, and $127, respectively. The production requirements per unit are as follows: Number ofNumber of Manufacturing Fans Cooling Coils Time (hours) Economy 8 Standard 12 Deluxe 14 4 For the coming production period, the company has 200 fan motors, 340 cooling coils, and 2800 hours of manufacturing time available. How many economy models...
Problem 1-09 (Algorithmic) Suppose the following is the mathematical model: Max 11>x ax 55 where a is the number of hours required for each unit produced with a = 4, the optimal solution is x = 13.75. If we have a stochastic model with a = 2, a = 3, a = 4, or a-5 as the possible values for the number of hours required per unit, what is the optimal value for x? Round your answers for the optimal...
Problem 3-12 (Algorithmic) Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $67, $93, and $129, respectively. The production requirements per unit are as follows: Number of Manufacturing Number of Cooling Coils Time (hours) Fans Economy Standard 12 Deluxe 14 For the coming production period, the company has 250 fan motors, 360 cooling coils, and 1800 hours of manufacturing time available. How many economy models (E),...
business
Problem 2-19 Consider the finear program Max 34 + 40 s.t. 1A+ 28s 8 1A28s 12 2A+ 18s 16 A, 82 0 or leave the box blank the model, enter 0 for a. Write the problem in standard form, For those boxes n which you must enter sueractive or neostive nmbers use a meus sign, (Example:-300) f you dot need the vanable A. S e S St Max s.t. s A+ S A+ A, B, St, Sa, S b....
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