al utility needs to generate 6,500 megawatts of ele as five generators. If any electricity is generated by a that generator must be started up and a fixed start- rred. There is an additional cost for each megawatt by a generator. These costs, as well as the maximum Feach generator, are shown in the table. The objecti ne the minimum cost plan that meets the electrical a. Formulate a mathematical model for this problem and solve this model on a spreadsheet.
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- 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.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.Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?
- A chef must decide how many chocolate lava cakes to prepare for the upcoming Mother's Day Dinner special. The chef can either prepare 50, 100, or 150 lava cakes. Assume that demand for the lava cakes can be 50, 100, or 150. Each dish costs $5 to make and is priced at for $7 on the menu. Unsold cakes are donated to a nearby charity center. Assume that there is no opportunity cost for lost sales. Which alternative should be chosen based on the maximax criterion?A dietitian has been asked by the athletic director to develop a snack that athletes can use in their training programs. The dietitian intends to mix two seperate products to make the snack. The following information (on the table below): Product A costs Php20 per ounce, while Product B costs Php10 per ounce. Determine the optimal quantities of each product that will give the minimized cost.The following is a breakdown of supplying and installing a piece of equipment to a project owner, atthe time of contract: EGPCost of equipment 250,000Manpower (installation) 50,000Overhead and profits 70,000i – Calculate the price of supplying and installing the equipmentii – If the supply and installing of the equipment was delayed by the project owner, calculate theescalated price of works based on the FIDIC Red Book 1990 formula given:Updated cost of equipment 270,000 EGPBase price index of manpower 123.2Updated price index of manpower 144.9
- Suppose the following costs for a 10-hour round-trip flight apply to the time frame and expenses of an unscheduled 5-hour charter flight from Baltimore to Las Vegas (and return the next day) on a seven-year-old Boeing 737–800 with 120 occupied seats. Some costs listed in the table have been aggregated up to the flight level from a seat-level decision where they are incurred. Others have been allocated down to the flight level from an entry/exit or maintain-ownership company-level decision. Still other costs vary with the go/no go flight-level decision itself. Your job is to analyze each cost item and figure out the “behavior of cost”—that is, with which decision each cost varies. Fuel and landing fees =$5,200 Quarterly airframe maintenance re: FAA certificate = $1,000 Unscheduled engine maintenance per 10 flight hours =$1,200 Pro rata time depreciation for seventh year of airframe = $7,200 Flight pay for pilots per round-trip flight = $4,200 Long-term hangar facility lease = $6,600…Method of Least Squares, Goodness of Fit Deepa Dalal opened a free-standing radiology clinic. She had anticipated that the costs for the radiological tests would be primarily fixed, but she found that costs increased with the number of tests performed. Costs for this service over the past nine months are as follows: Month Radiology Tests Total Cost January 2,800 $133,500 February 2,600 135,060 March 3,100 175,000 April 3,500 170,600 May 3,400 176,900 June 3,700 186,600 July 3,840 174,450 August 4,100 195,510 September 3,450 185,300 Required: 1. Compute the cost formula for radiology services using the method of least squares. If required, round your answers to two decimal places. Y = + X 2. Using the formula computed in Requirement 1, what is the predicted cost of radiology services for October for 3,500 appointments? (Round the answer to the nearest dollar.)Formulate a chase sales and operations plan for a company with the following predicted demand: Month 1 Demand 55,200 49,600 Month Demand Production 3 4 5 12,800 24,800 50,400 1 55,200 7 The beginning workforce is 160 employees. The monthly output per employee is 400 units. The cost to hire and lay off a worker are $2,500 and $3,500, respectively. The cost to carry an item in inventory for one month is estimated at $14, and the stockout cost is $25 per unit. Show the production schedule, the inventory levels, and the changes in workforce from period to period. Compute the plan's cost Construct the chase sales and operations plan (enter your responses as whole numbers). 6 25,600 2 4 49,600 12,800 24,800 Total 218,400 5 50,400 6 25,600 7 Total 218,400 8
- Trips Logistics, a third-party logistics firm that provides warehousing and other logistics services, is facing a decision regarding the amount of space to lease for the upcoming three-year period. The general manager has forecast that Trips Logistics will need to handle a demand of 100,000 units for each of the next three years. Historically, Trips Logistics has required 1,000 square feet of warehouse space for every 1,000 units of demand. For the purposes of this discussion, the only cost Trips Logistics faces is the cost for the warehouse. Trips Logistics receives revenue of $1.22 for each unit of demand. The general manager must decide whether to sign a three-year lease or obtain warehousing space on the spot market each year. The three-year lease will cost $1 per square foot per year, and the spot market rate is expected to be $1.20 per square foot per year for each of the three years. Trips Logistics has a discount rate of k = 0.1.Mary is a sales person for Challenge Furniture. She receives an incremental commission based on the table below. If she sells $26,000 and has already received a draw of $766.15, how much commission is still owed to Mary? level 1 1-11,700 3.7% sales volume 2 11,701-21,200 4.3% commission rate 3 over 21,200 4.7%Two vaccination schemes are recently adopted in Lebanon, Pfizer and Astrazenica. The profit for each one of these is dependent on the site (clinic or hospital) performing the vaccination process. This is shown in the following payoff table. Ministry of health considering the maximum profit to be able to cover the cost of staff where vaccination process can either be in a small clinics, or medium size hospitals or in main hospitals Assume the payoffs represent profits. Determine the alternative that would be chosen under each of these decision criteria: Maximin, Maximax, Laplace. In your own opinion, which alternative likely to be excluded and why? The ministry of health would like to check the possible loss. Find out the minimax regret table and identify the recommended alternative. Assuming the probability of getting Pfizer is 0.6 and getting Astrazenica is 40%, determine the expected value of perfect information using the regret table. Compute the EVPI again…