What effect on the optimal solution (value of Z) ,if we change the profit of X3 from 6 to $3.8 ?
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- pls answer the 2nd question: The Montemar Company is considering contracting with a market research firm to do a survey to determine future market conditions. The results of the survey will indicate either positive or negative market conditions. There is a 0.60 probability of a positive report, given favorable conditions; a 0.30 probability of a positive report, given stable conditions; and 0.10 probability of a positive report; given unfavorable conditions. There is a 0.90 probability of negative report, given unfavorable conditions; a 0.70 probability given stable conditions; and a 0.40 probability, given favorable conditions. d & e, as per the guidelinesSachs Brands's defined benefit pension plan specifies annual retirement benefits equal to 1.5% × service years × final year's salary, payable at the end of each year. Angela Davenport was hired by Sachs at the beginning of 2007 and is expected to retire at the end of 2041 after 35 years' service. Her retirement is expected to span 18 years. Davenport's salary is $83,000 at the end of 2021 and the company's actuary projects her salary to be $245,000 at retirement. The actuary's discount rate is 9%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) At the beginning of 2022, the pension formula was amended to: 1.60% × Service years × Final year's salary The amendment was made retroactive to apply the increased benefits to prior service years. Required: 1. What is the company's prior service cost at the beginning of 2022 with respect to Davenport after the amendment described above?2. Since the amendment occurred at…Q2 The lower daily needs for workers in a manufacturing organization provided in the below table, each worker works for eight hours, the management needs to determine the lower number of workers to maintain the flow and stability of the work in each shaft. Formulate LP model for this problem and suggest (only suggestion) a method to find the optimal solution Shaft
- There are 3 different fire alarm systems in the store. System A detects fire with a probabilityof 0.6 and costs $40, the B detects fire with a probability of 0.91 and costs $100, the Cdetects fire with a probability of 0.8 and costs $60. Which option is better: to set one systemB or two systems A and C?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 0.6 and 0.4, 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 $290,000. If a small facility is built and demand proves to be high, but Cheryl then decides not to expand the facility, the payoff is $253,000. If a small facility is built and demand proves to be low, then there is no option to expand and the payoff is $220,000. 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 $35,000. If she does exercise the advertising option, then the response to advertising will…A group of developers is opening a health club near a new housing development. The health club—which will have exercise and workout equipment, basketball courts, swimming pools, an indoor walking/running track, and tennis courts—is one of the amenities thedevelopers are building to attract new homebuyers. However, they want the health club to at least break even the first year or two. The annual fixed cost for the building, equipment, utilities, staff, and so on is $875,000, and annual variable costs are $200 per member for things like water, towels, laundry, soap, shampoo, and other member services. The membership fee is $225 per month. How many members will the club need to break even? If the club doubles its break-even membership after a year, what will its profit be?
- Problem 4-17 Hemmingway, Inc., is considering a $5 million research and development (R&D) project. Profit projections appear promising, but Hemmingway's president is concerned because the probability that the R&D project will be successful is only 0.50. Furthermore, the president knows that even if the project is successful, it will require that the company build a new production facility at a cost of $20 million in order to manufacture the product. If the facility is built, uncertainty remains about the demand and thus uncertainty about the profit that will be realized. Another option is that if the R&D project is successful, the company could sell the rights to the product for an estimated $25 million. Under this option, the company would not build the $20 million production facility. FIGURE 4.16 DECISION TREE FOR HEMMINGWAY, INC. Start R&D Project ($5 million) Do Not Start the R&D Project Successful 0.5 Not Successful 0.5 3 Building Facility ($20 million) Sell Rights Profit ($…You are deciding between two alternatives to build a facility between two different locations based on the estimated profitability it will generate the first year minus the investment cost. Building in location A will cost $1.1M and there is a 30% chance the workforce will generate $1M in profit, 50% chance it will generate $1.2M in profit and 20% chance it will generate $1.4M in profit. Location B will cost $1.7M and there is a 35% chance the workforce will generate $1.3M in profit, a 40% chance it will generate $1.7M in profit and a 25% it will generate $1.9M in profit. What decision will you recommend based on a decision tree analysis of these alternatives?3-26 Megley Cheese Company is a small manufacturer of several different cheese products. One of the products is a cheese spread that is sold to retail outlets. Jason Megley must decide how many cases of cheese spread to manufacture each month. The probability that the demand will be six cases is 0.1, seven cases is 0.3, eight cases is 0.5, and nine cases is 0.1. The cost of every case is $45, and the price that Jason gets for each case is $95. Unfortunately, any cases not sold by the end of the month are of no value, due to spoilage. How many cases of cheese should Jason manufacture each month?