Exam 2 Preparation Guidelines February 24‚ 2013 Exam 2 is scheduled for Tuesday 3/5. Coverage will include material identified on the syllabus through 2/28. The exam will be comprised of two parts: (1) multiple choice questions (and possibly a few true/false)‚ (2) short answers. The weight between parts I and II will likely be in the neighborhood of 50-50. I’m guessing that 80% or more of the exam points will based on content since exam 1 (i.e.‚ content in chapters 8‚ 10‚ and 11). The exam is closed
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purchase more sandwiches. After she pays any funds back that she has borrowed then she will earn a profit of at least $69.20 which is half of the $138.40 borrowed. C) Evaluate the prospect of paying a friend $100/game to assist. The linear programming results show that Julie will have a profit of $2250 minus the $1000 for booth rent for the month which will leave $1150. She only wants to make a profit of $1000 therefore she has at least $150 to keep $50 to purchase more sandwiches and $100
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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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Julia Booth Case Study Angela Walker June‚ 06‚ 2013 Dr. Carl Tucker field In this case study‚ I must create a linear programming model for Julia that will help her to decide whether or not she need to lease a booth. The three products or variable we must consider for this booth are pizza‚ hotdogs‚ and barbecue sandwiches. In this model‚ x 1 equal the number of pizza slices Julia should purchase‚ x2 equals the number of hotdogs Julia should purchase‚ and x3 equal the number of barbecue sandwiches
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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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