QUESTION 12The following is a L.P.P:Max Z= 5X1 + 7X2 + 6X3 (Hundreds of dollars $)s.t:X1 + 4X2 + 2X3 <= 602X1 + 2X2 + 3X3 <= 40X1 + 2X2 + 2X3 <= 30X1,X2,X3>=0(production capacity; hours) (warehouse capacity; hundreds of sq. ft.) (demand for 6 oz. glasses; hundreds of cases)The optimal solution to the model as follows:BasisСв5X17X26X30.5S1S2S3RHSX27-0.5110S1-11-310X111-11078.51.5120C-z-2.5-1.5-2What effect on the optimal solution (value of Z) ,if we change the profit of X3 from 6 to $3.8 ?Click Save and Submit to save and submit. Click Save All Answers to save all answers.hp

Since X3 is not one of the basis variable in the solution, changing the coefficient from 6 to 3.8…

Answered: What effect on the optimal solution…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Harley, an ice-cream vendor, purchases each pint of ice-cream for $7 and sells for $20 each. At the end of the week, the unsold ice-cream can be salvaged for $2 each. From past experience, Harley has estimated the sales probabilities as below. What is the optimal number of pints Harley should purchase? Number of Ice-creams Sold, Probability 1 = 0.05, 2 = 0.1, 3 = 0.2 , 4 = 0.25, 5 = 0.15, 6 = 0.1, 7 = 0.08, 8 = 0.07
The local high school soccer club need to borrow to finance a new soccer field. Repayment of the loan involves payments of $10 000.00 at the end of every 3 months for 8 years. No payments are to be made during the development period of 5 years. If interest is 8% compounded quarterly, how much did the Achievers borrow? a) $162 064.83 b) $234 683.35 c) $157 935.17 d) $175.935.71 e) $320 000.00 .
Chris Suit is administrator for Lowell Hospital. She is trying to determine whether to build a large wing on the existing hospital, a small wing, or no wing at all. If the population of Lowell continues to grow, a large wing could return $150,000 to the hospital each year. If a small wing were built, it would return $100,000 to the hospital each year if the population continues to grow. If the population of Lowell remains the same, the hospital would encounter a loss of $85,000 with a large wing and a loss of $45,000 with a small wing. Unfortunately, Suit does not have any information about the future population of Lowell. a. Assuming that each state of nature has the same likelihood, determine the best alternative. [Select ] what is the EMV? [Select] b. If the likelihood of growth is .4 and that of remaining the same is .6 and the decision criterion is expected monetary value, which decision should Suit make? [Select] what is the EMV? [Select]
Cheryl Druehl Retailers, Inc., must decide whether to build a small or a large facility at a new location in Fairfax. Demand at the location will either be low or high, with probabilities 0.3 and 0.7, respectively. If Cheryl builds a small facility and demand proves to be high, she then has the option of expanding the facility. If a small facility is built and demand proves to be high, and then the retailer expands the facility, the payoff is $240,000. If a small facility is built and demand proves to be high, but Cheryl then decides not to expand the facility, the payoff is $213,000. If a small facility is built and demand proves to be low, then there is no option to expand and the payoff is $230,000. If a large facility is built and demand proves to be low, Cheryl then has the option of stimulating demand through local advertising. If she does not exercise this option, then the payoff is $60,000. If she does exercise the advertising option, then the response to advertising will…
Cachora Dynamics Corp (CDC) has designed a new integrated circuit that will allow it to enter, if it wishes, the microcomputer field. Otherwise, it can sell its rights for $15 million. If it chooses to build computers, the profitability of this project depends on the company's ability to market them during the first year. Two levels of sales are foreseen as two possible outcomes: selling 10,000 computers in case of low demand, but if it is successful it can sell up to 100,000 units (high demand). The cost of installing the production line is $6 million. The difference between the selling price and the variable cost of each computer is $600. a) Develop a formulation for decision analysis and use the non-probabilistic decision rules: Maximin and Minimax. b) Assume that the probability of high demand (p) is 50% and for low demand (1 - p) is 50%, apply the probabilistic criteria: Maximum expected value, Minimum loss of opportunity. c) Determine the VEIP. d) Carry out a sensitivity…
Phillip Witt, president of Witt Input Devices, wishes to create a portfolio of local suppliers for his new line of keyboards. Suppose that Phillip is willing to use one local supplier and up to two more located in other territories within the country. This would reduce the probability of a "super-event" that might shut down all suppliers at the same time at least 2 weeks to 0.5%, but due to increased distance the annual costs for managing each of the distant suppliers would be $25,000 (still $15 comma 000 for the local supplier). A total shutdown would cost the company approximately $400,000. He estimates the "unique-event" risk for any of the suppliers to be 5%. Assuming that the local supplier would be the first one chosen, how many suppliers should Witt Input Devices use? Find the EMV for alternatives using 1, 2, or 3 suppliers. EMV(1)equals=$ (Enter your response rounded to the nearest wholenumber.) EMV(2)equals=$ (Enter your response rounded to the nearest…
II. + James Scott is considering the possibility of opening a small outfit shop on Sta. Maria District, a few blocks from St. Green Ville College. She has located on a mall that attracts students. To open a small shop, medium sized shop, or no shop at all are her options. The market can be good, average, or bad. The probabilities for these three possibilities are 30% for good market, 50% for an average market, and 20% for bad market. The profit or loss for the said market conditions are given in the table below; ALTERNATIVE Small Shop Medium Sized Shop No Shop GOOD 150,000 200,000 0 AVERAGE 50,000 70,000 0 a) Calculate the Expected Value of Perfect Information (EVPI) b) What do you recommend? BAD -80,000 -120,000 0
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Problem #4 A through G
If workers contribute to their group’s investments and decide on these investments, workers at different stages of their careers may want different types of capital, for example a durable building versus a temporary one. a. How might the age distribution of the workers make the building they choose to build too temporary or too durable? How can a building be too durable? b. There are also young and old shareholders. Why isn’t the choice of the building’s durability also a problem if they or an elected management makes the decision on it?
1. Kirsten is trying to decide where to go for her well-earned vacation. She would like to camp, but if the weather is bad, she will have to go to a motel. Given the costs and probabilities of bad weather given below, which destination should she choose? Camping cost Motel cost Probability of bad weather Nevada $21.2 $80.9 0.2 Oregon $15.9 $84.6 0.4 California $30 $95 0.1 a. California, because its EMV = $33.14 b. Nevada, because its EMV = $33.14 c. California, because its EMV = $36.5 d. Any of the 3 choices. e. Oregon, because its EMV = $43.38 f. Nevada, because its EMV = $43.38 g. None of the 3 choices. h. Oregon, because its EMV is $36.50.

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