The net annual operating cost for a water treatment filtration plant for a semiconductor fabricationline was estimated to be $1,900,000 per year. The estimate was based on the $200,000 per yearcost of a 1-MGD plant. The exponent in the cost-capacity equation is 0.75. The size of the largerplant is nearest to:41,009,30032,052,56020,600,02020,120,162

The detailed solution is given in Step 2.

Answered: The net annual operating cost for a…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 35P

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It costs a pharmaceutical company 75,000 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 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 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.
The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.
The owners of Sweet-Tooth Bakery have determined thatthey need to expand their facility in order to meet their increaseddemand for baked goods. Th e decision is whether to expand nowwith a large facility or expand small with the possibility of havingto expand again in fi ve years.Th e owners have estimated the following chances for demand:• Th e likelihood of demand being high is 0.70.• Th e likelihood of demand being low is 0.30.Profi ts for each alternative have been estimated as follows:• Large expansion has an estimated profi tability of either$80,000 or $50,000, depending on whether demand turnsout to be high or low.• Small expansion has a profi tability of $40,000, assumingdemand is low.• Small expansion with an occurrence of high demand wouldrequire considering whether to expand further. If the bakeryexpands at this point, the profi tability is to be $50,000.(a) Draw a decision tree showing the decisions, chanceevents, and their probabilities, as well as the profi tabilityof…
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Ohio Swiss Milk Products manufactures and distributes icecream in Ohio, Kentucky, and West Virginia. The companywants to expand operations by locating another plant innorthern Ohio. The size of the new plant will be a function ofthe expected demand for ice cream within the area served bythe plant. A market survey is currently under way to deter-mine that demand.Ohio Swiss wants to estimate the relationship between themanufacturing cost per gallon and the number of gallonssold in a year to determine the demand for ice cream and,thus, the size of the new plant. The following data have beencollected:a. Develop a regression equation to forecast the cost per gal-lon as a function of the number of gallons produced. b. What are the correlation coefficient and the coefficient ofdetermination? Comment on your regression equation inlight of these measures.c. Suppose that the market survey indicates a demand of325,000 gallons in the Bucyrus, Ohio area. Estimate themanufacturing cost per gallon…
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