Answer question 3 3. Consider the following LP Problem developed at ZafarMalik's Carbondale, Illinois, optical scanning firm:Maximize profit = $1X1 + $1X2Subject to:2X1 + 1X2 ≤ 1001X1+2X2 ≤ 100What is the optimal solution to this problem?

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Answered: 3. Consider the following LP Problem…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 34P

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3 II | Here are the changes to the original problem and the revised conditions for this decision-making problem: With a favorable market, John Thompson thinks a large facility would result in a net profit of $195,000 to his firm. If the market is unfavorable, the construction of a large facility would result in $185,000 net loss. A small plant would result in a net profit of $110,000 in a favorable market, but a net loss of $25,000 would occur if the market was unfavorable. Doing nothing would result in $0 profit in either market conditions. a) Create a decision table, b) What is your recommendation if you would apply the Maximax criterion (Optimistic)? Follow the guidance from your textbook and create a table. c) What is your recommendation if you would apply the Maximin Criterion (Pessimistic)? Follow the guidance from your textbook and create a table. d) What is your recommendation if you would apply the Criterion of Realism (Hurwicz Criterion) with a coefficient of realism a =…
A local real estate investor in Orlando is considering three alternative investments: a motel, a restaurant, or a theater. Profits from the motel or restaurant will be affected by the availability of gasoline and the number of tourists; profits from the theater will be relatively stable under any conditions. The following payoff table shows the profit or loss that could result from each investment. Based on the Maximax criteria, the investor should choose Investment Motel Restaurant Theater Motel Restaurant O Theater O Any of the three Shortage $-8,000 2,000 6,000 Gasoline Availability Stable Supply $15,000 8,000 6,000 Surplus $20,000 6,000 5,000
Combined-cycle power plants use two combustion turbines to produce electricity. Heat from the first turbine’s exhaust is captured to heat waterand produce steam sent to a second steam turbine that generates additional electricity. A 968-megawatt combined-cycle gas fired plant can be purchased for $450 million, has no salvage value, and produces a net cash flow(revenues less expenses) of $50 million per year over its expected 30-year life. Solve, a. If the hurdle rate (MARR) is 12% per year, how profitable an investment is this power plant? b. What is the simple payback period for the plant? Is this investment acceptable?
A firm that plans to expand its product line must decide whether to build a small or a large facilityto produce the new products. If it builds a small facility and demand is low, the net present valueafter deducting for building costs will be $400,000. If demand is high, the firm can either maintainthe small facility or expand it. Expansion would have a net present value of $450,000, and maintaining the small facility would have a net present value of $50,000.If a large facility is built and demand is high, the estimated net present value is $800,000. If demandturns out to be low, the net present value will be – $10,000.The probability that demand will be high is estimated to be .60, and the probability of low demandis estimated to be .40.a. Analyze using a tree diagram.
Even though independent gasoline stations have been having a difficult time. Murad has been thinking about starting her own independent gasoline station. Murad's problem is to decide how large his station would be. The annual returns will depend on both the size of his station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Murad developed the following table: Size of the first station Small Medium Large Very large Probability Good market,$ 50 000 80 000 100 000 300 000 20% Fair market,$ 20 000 30 000 30 000 25 000 30% a) what is the maximax decision? b) what is the maximin decision c) what is the equally likely decision (Laplace) d) What is the Expected Monetary Value Criterion (EMV Criterion) Poor market, $ -10 000 -20 000 -40 000 -160 000 50%
A firm that plans to expand its product line must decide whether to build a small or a large facilityto produce the new products. If it builds a small facility and demand is low, the net present valueafter deducting for building costs will be $400,000. If demand is high, the firm can either maintainthe small facility or expand it. Expansion would have a net present value of $450,000, and maintaining the small facility would have a net present value of $50,000.If a large facility is built and demand is high, the estimated net present value is $800,000. If demandturns out to be low, the net present value will be – $10,000.The probability that demand will be high is estimated to be .60, and the probability of low demandis estimated to be .40. 1- Compute the EVPI 2- Determine the range over which each alternative would be best in terms of the value of P ( low demand )
1. Explain the meaning of the expected value of perfect information (EVPI) in this problem. Based on the results of (iii) and (iv), which investment would you choose? 2. Compute the coefficient of variation, the return-to-risk ratio (RTRR) for each investment. Based on (vii) and (viii), what investment would you choose? Compare the results of (vi) and (ix) and explain any differences
Calculating outcomes as equally likely would BEST describe: O a. Maximax criterion O b. Laplace criterion O c. Regret criterion Od. Maximin criterion Determining the average payoff for each alternative and choosing the one with the BEST payoff is the approach called: ea, maximax O b. minimax regret O c. laplace Od maximin M
Find decision variables, objective function, constraints and non-negativity constraints An auto company manufactures cars and trucks. Each vehicle must be processed in the paint shop and body assembly shop. If the paint shop were only painting trucks, 40 per day could be painted. If the paint shop were only painting cars, 60 per day could be painted. If the body shop were only producing cars, it could process 50 per day. If the body shop were only producing trucks, it could process 50 per day. Each truck contributes $300 to profit and each car contributes $200 to profit. In addition, the auto company can produce at most 30 trucks and 20 cars. The company wants to determine the daily production schedule that will maximize the company’s profit. Formulate the LP model for the problem.
Problem 2 Suppose that for years East Campus' short-run Phillips Curve was such that each 1 percentage point increase in its unemployment rate was associated with a 2-percentage point decline in its inflation rate. Then, during several recent years, the short-run pattern changed such that its inflation rate rose by 3 percentage points for every 1 percentage point drop in its unemployment rate. Graphically, did East Campus' Phillips Curve shift upward or did it shift downward?
Problem 2: You go to the racetrack and are choosing between 2 horses: Belle and Jeb (you are at the racetrack, so you will bet on one of these two horses). Betting on either horse will cost you $1, and the payoffs are as follows: • Bet on Belle: you will be paid $2 if she wins (or a net profit of $1). You believe she has a 75% chance of winning. • Bet on Jeb: you will be paid $9 if he wins (for a net profit of $8). You believe that he has a 20% chance of winning. Prior to making your decision of which horse to bet on, someone comes and offers you gambler’s “insurance.” If you agree to the gamblers “insurance,” they pay you $1 immediately and you agree to pay them 50% of the profit on your winnings (that is, $0.50 if Belle wins, and $4 if Jeb wins). What should you do? Answer this question by: a) Creating a decision tree for this scenario, making sure you label all branches and include all probabilities and consequences. b) Solving the decision tree using EMV and stating the optimal…
Please answer all parts A Rhino cement company owns two production plants. Plant 1 costs 20977 per day to operate, and it can produce 330 bags of high-grade cement, 475 bags of medium-grade cement , and 508 bags of low-grade cement each day. Plant 2 is newer and more modern. It costs 22570 per day to operate, and it can produce 435 bags of high-grade cement,271 bags of medium-grade cement, and 274 bags of low-grade cement each day. The company has orders totaling 24539 bags of high-grade cement, 25248 bags of medium-grade cement, and 33749 bags of low-grade cement. How many days should it run each plant to minimize its costs and still produce enough cement to meet its orders? What is the value of the first dual variable? What is the value of the second dual variable? What is the value of the third dual variable? What is the value of dual optimal solution z?

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3. Consider the following LP Problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm: Maximize profit = $1X1 + $1X2 Subject to: 2X1 + 1X2 ≤ 100 1X1+2X2 ≤ 100 What is the optimal solution to this problem?