Optimal fab design and deployment‚ IEEE Trans Semiconduct Manufact 12 (1999)‚ 281–287. [6] S. Bermon and S.J. Hood‚ Capacity optimization planning system (CAPS)‚ Interfaces 29 (1999)‚ 31–50. [7] J.R. Birge‚ Option methods for incorporating risk into linear capacity planning models‚ Manufact Serv Oper Manage 2 (2000)‚ 19–31.
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the profit function? d. Compute the profit (loss) corresponding to production levels of 12‚ 000 and 20‚ 000 units. QUESTION 3 Solve the following quadratic equations: i. ii. f ( x) x 2 4 x 4 f ( x) 3 x 2 4 x 2 QUESTION 4 a. For the linear program Max 2x + 3y Subject to x + 2y ≤ 6 5x + 3y ≤ 15 x‚ y ≥ 0 Find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal solution? b. As part of a quality improvement initiative‚
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Construct the decision tree showing the different decisions that the company can undergo. b. Compute the revenues and losses that the company might incur in making these decisions and determine which decision would be the best for the company. II. Linear Programming A. Café Therea is a newly opened business that produces two kinds of food. Rice Toppings and Mixed Rice Meals. Both of which use three kinds of ingredients: Rice‚ Meat‚ and Sauce. The Rice Toppings needs two scoops of rice‚ six and two thirds
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For a profit maximization problem‚ if the allowable increase for a coefficient in the objective function is infinite‚ then profits are unbounded. T . MULTIPLE CHOICE – clearly indicate your response. 1. For a linear programming problem‚ assume that a given resource has not been fully used. In other words‚ the slack value associated with that resource constraint is positive. We can conclude that the shadow price associated with that constraint: A. will have a positive
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Linear Programming Notes VII Sensitivity Analysis 1 Introduction When you use a mathematical model to describe reality you must make approximations. The world is more complicated than the kinds of optimization problems that we are able to solve. Linearity assumptions usually are significant approximations. Another important approximation comes because you cannot be sure of the data that you put into the model. Your knowledge of the relevant technology may be imprecise‚ forcing you to approximate
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TUTORIAL 2 Linear Programming - Minimisation Special cases Simplex maximisation 1. Innis Investments manages funds for a number of companies and wealthy clients. The investment strategy is tailored to each client’s needs. For a new client‚ Innis has been authorised to invest up to $1.2 million in two investment funds: a stock fund and a money market fund. Each unit of the stock fund costs $50 and provides an annual rate of return of 10%; each unit of the money market fund costs
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Running Head: JULIA’S FOOD BOOTH Assignment #3: Case Problem "Julia’s Food Booth" Mat540 Quantitative Methods August 22‚ 2012 Julia’s Food Booth (A) Formulate and solve a L.P. model for this case. Variables: Pizza - X1 $1.33 $1.50 14 inches Hot Dogs - X2 $0.45 $1.50 16 square inches Barbecue - X3 $0.90 $2.25 25 square inches Maximize Z= $0.75x1‚ 1.05x2‚ 1.35x3 Subject to: $0.75x1 + $0.45x2 + $0.90x3 ≤ $1‚500 24x1 + 16x2 + 25x3 ≤
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Brittany Asay MGMT 650 Chapters 3 & 4 Homework Problems May 14‚ 2013 Chapter 3: 13. Refer to the computer solution of Problem 12 in Figure 3.17. a. Identify the range of optimality for each objective function coefficient. E: 47.5-75 S: 87-126 D: there is no lower limit until 159 b. Suppose the profit for the economy model is increased by $6 per unit‚ the profit for the standard model is decreased by $2 per unit‚ and the profit for the deluxe model is increased by $4 per unit. What will
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Problem Statement Present the cost per pound of the nuts included in the Regular‚ Deluxe‚ and Holiday mixes. Discuss the optimal product mix and the total profit contribution. Give recommendations regarding how the total profit contribution can be increased if additional quantities of nuts can be purchased. Give a recommendation as to whether TJ’s should purchase an additional 1000 pounds of almonds for $1000 from a supplier who overbought. Give recommendations on how profit contribution could
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1. Introduction Linear programming (LP) model is a significant and popular used model of operational research technique. It helps to optimize the objective value with constraints. LP model have three essential assumptions when use this model to solve problem. Firstly‚ proportionality and additively‚ which means that the objective function and the functions in constraints are all linear. In other words‚ it means the equation of objective and constraints are linear equation. Secondly‚ LP model
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