It costs a pharmaceutical company $35,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 22,000 pounds, the most likely case 18,000 pounds, and the worst case 12.000 pounds. The drug sells for $60 per pound and leftover amounts of the drug can be sold for $5 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known. You should consider a range of batches between 13 and 22.

A-Z Technologies, a manufacturer of amplified pressure transducers, is trying to decide between a dual-speed and a variable-speed machine. The engineers are not sure about the salvage value of the variable speed machine, so they have asked several different used-equipment dealers for estimates. The results can be summarized as follows: there is a 35% chance of getting $18,000, a 41% chance of getting $24,000, and a 13% chance of getting $29,000. Also, there is an 11% chance that the company may have to pay $5000 to dispose of the equipment. Calculate the expected salvage value.

An automobile dealership offers to fill the four tires of your new car with 100% nitrogen for a cost of $20.00. The dealership claims that nitrogen-filled tires run cooler than those filled with compressed air, and they advertise that nitrogen extends tire mileage (life) by 25%. If new tires cost $50.00 and are guaranteed to get 50,000 miles (filled with air) before they require replacement, is the dealership’s offer a good deal

Two of your classmates have an idea for a new food truck called Funk Seoul Brother, that sells Korean street food and sushi burritos. It would be the only supplier of this food in Athens. Market research suggests that the demand curve for the food will be P=40-(Q/80). It will cost $2000 to set up the food truck, which is necessary before any food can be made. In addition to the setup cost, there is a marginal cost of $6 per entrée for every entrée made. a. What is the profit-maximizing price and quantity?What profit will this food truck generate? b. If this market were instead perfectly competitive, what would be the equilibrium price and quantity? c. How much deadweight loss occurs under the monopolist?

If the supply equation is Q = 110 + 8P+0.9p2 (a) find the price elasticity of supply if the current price is 9. (b) estimate the percentage change in supply if the price rises by 2%

The owner of a ski resort is considering installing a new ski lift that will cost $850,000. Expenses for operating and maintaining the lift are estimated to be $2,000 per day when operating. The U.S.Weather Service estimates that there is a 55% probability of 90 days of skiing weather per year, a 30% probability of 100 days per year, and a 15% probability of 120 days per year. The operators of the resort estimate that during the first 90 days of adequate snow in a season, an average of 550 people will use the lift each day, at a fee of $10 each. If 10 additional days are available, the lift will be used by only 450 people per day during the extra period; and if 20 more days of skiing are available, only 250 people per day will use the lift during those days. The study period is eight years; the ski lift will be depreciated by using the MACRS Alternative Depreciation System (ADS); the ADS recovery period is seven years; MARR = 10% per year (after-tax); and the effective income tax rate…

The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows: Procurement Cost($) 10 $ 11 12 Probability 0.25 0.45 0.30 Labor Cost ($) 20 22 24 25 Probability 0.10 0.25 0.35 0.30 Transportation Cost ($) 3 5 (a) Compute profit per unit for the base-case, worst-case, and best-case scenarios. Base Case using most likely costs Profit = $ /unit Worst Case Profit = $ /unit Best Case Profit = $ /unit Probability 0.75 0.25 (b) Construct a simulation model to estimate the mean profit per unit. (Use at least 1,000 trials.) (c) Why is the simulation approach to risk analysis preferable to generating a variety of what-if scenarios? Simulation will provide ---Select--- of the profit per unit values which can then be used to find ---Select--- ◆ of an unacceptably low…

The following table shows cost payoffs for four decision variables and four states of nature. S₁ S2 di 20 20 S S3 54 8 19 4 d2 12 12 40 d3 10 10 16 16 16 d4 30 30 25 20 20 9 110 14 14 Suppose the decision maker assigns the probability for S₁ = 0.10; S2 = 0.40; S3 = 0.20; and S4 = 0.30, what is the expected value of best decision? 21.2 21.8 20 19.2

Assume that 5% of the people who receive Treatment A die. The sixty percent who fully recover live another 10 years. The treatment is only partially successful for 35% of the patients, who live another 4 years. What is the expected value of Treatment A, expressed as additional years of life?

Thelma is indifferent between $100 and a bet with a 0.6 chance of no return and a 0.4 chance of $200. If U(0) = 20 and U(200) = 220, then U(100) = :