An electrical utility needs to generate 6,300 megawatts of electricity today. It has five generators (A, B, C, D, and E). If any electricity is generated by a given generator, that generator must be started up and a fixed start-up cost is incurred. There is an additional cost for each megawatt generated by a generator. These costs, as well as the maximum capacity of each generator, are shown in the following table. A B C D Fixed start-up cost $3,000 $2,000 $2,500 $1,500 $1,000 Cost per megawatt/day $5 $4 $6 generated $6 $7 Maximum capacity (MW/day 2,100 1,800 2,500 1,500 3,000 Click here for the Excel Data File Formulate and solve this model on a spreadsheet. a. Determine the minimum cost plan that meets the electrical needs for today. Note: Leave no cells blank. Enter "O" wherever required. Startup generator? (Enter 1 if "Yes", O if "No") Megawatt/day b. Determine the total cost. Total cost
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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.An airline studied the data from their passenger records and noted that their customers turn up only about 95% of the time. A flight can accommodate 40 passengers and each seat costs 4,000 Php. Suppose each passenger books a ticket independently and the airline decides to sell 42 tickets for the flight. If more than 40 show up for the flight , then the extra passengers will be compensated PhP10,000 for rebooking and other expenses. 5. If Profit = Ticket sales-Compensation of Bumped passenger(s). What is the profit if 42 customers show up?
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- An electric cooperative's power generation costs $3.20/kWh. Data for two 50-horsepower motors are as shown below. If the interest rate is 20%, determine how many hours should the motors be operated at full load for them to be economical. If the number of hours exceeds the breakeven point, which of the two motors is more economical?Boston Company use a special part in manufacturing of its finished products. The unit cost thisspecial part is $ 35, and details of its manufacturing cost is as follows. The $35 unit productcost of this part is based on average 25,000 number of parts produced each year.An outside supplier has offered to supply the 25,000 parts at a cost of $30 per part. The specialequipment used to manufacture the above part. This equipment can only be used formanufacturing of this part and if not used it has no resale value.The total amount of general factory overhead, which is allocated based on direct labor-hours,would be unaffected by this decision because it is fixed cost..Suggest the management whether to stop producing internally and buy them from theoutside supplier?Description CAD Direct Materials 10Direct Labor 6Variable overheads…Western Chassis produces high-quality polished steel and aluminum sheeting and two lines ofindustrial chassis for the rack mounting of Internet routers, modems, and other telecommunicationsequipment. The contribution margin (contribution toward profit) for steel sheeting is $0.40 per poundand for aluminum sheeting is $0.60 per pound. Western earns $12 contribution on the sale of aStandard chassis rack and $15 contribution on a Deluxe chassis rack. During the next productioncycle, Western can buy and use up to 25,800 pounds of raw unfinished steel either in sheeting or inchassis. Similarly, 20,400 pounds of aluminum are available. One standard chassis rack requires 16pounds of steel and 8 pounds of aluminum. A Deluxe chassis rack requires 12 pounds of each metal.The output of metal sheeting is restricted only by the capacity of the polisher. For the next productioncycle, the polisher can handle any mix of the two metals up to 4,000 pounds of metal sheeting. Chassismanufacture can be…
- An automotive warehouse stocks a variety of parts that are sold at neighborhoodstores. One particular part, a popular brand of oil filter, is purchased by thewarehouse for $1.50 each. It is estimated that the cost of order processing andreceipt is $100 per order. The company uses an inventory carrying charge based on warehouse for $1.50 each. It is estimated that the cost of order processing andreceipt is $100 per order. The company uses an inventory carrying charge based ona 28 percent annual interest rate.The monthly demand for the filter follows a normal distribution with mean280 and standard deviation 77. Order lead time is assumed to be five months.Assume that if a filter is demanded when the warehouse is out of stock, then thedemand is back-ordered, and the cost assessed for each back-ordered demand is$12.80. Determine the following quantities:a. The optimal values of the order quantity and the reorder level.b. The average annual cost of holding, setup, and stock-out associated…Jasmine owns 12 apartment buildings in a college town, which it rents exclusively to students. Each apartment building contains 120 rental units, but the owner is having cash flow problems due to an average vacancy rate of nearly 50 percent. The apartments in each building have comparable floor plans, but some buildings are closer to campus than others. Jasmine’s accumulated data from last year on the number of apartments rented, the rental price (in dollars), and the amount spent on advertising (in hundreds of dollars) at each of the 12 apartments are available below. These data, along with the distance (in miles) from each apartment building to campus, are presented below. Jasmine is looking for expert advice on the available data to inform administrative and business policy. By applying this scenario, help her regress the quantity demanded of her apartments on price, advertising, and distance datasets by using Excel or SPSS. Observation or (Number of Apartments) Quantity…The interContinental Hotel at Tsim Sha Tsui has 100 total rooms available for Dec 31. There are two types of customers, business customers and leisure customers. InterContinental charges a high rate of $300/night and a low rate of $120/night. High-rate guests do not need pre-booking and has time flexibilities; low-rate guests need pre-booking. Assume business customers always take the high rate option and leisure customers always take the low rate option. Leisure customers always book far earlier before business customers and there are sufficient leisure customers. Which of the following actions would increase the optimal protection level for business customers? Increase both the high and low rates by a factor of two Decrease the high rate from $300 to $200 Decrease both the high and low rates by half O Decrease both the high and low rates by $20 O Increase both the high and low rates by $20