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 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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- 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.As part of their application for a loan to buy Lakeside Farm, a property they hope to develop as a bed-and-breakfast operation, the prospective owners have projected: Monthly fixed cost (loan payment, taxes, insurance, maintenance) $6000 Variable cost per occupied room per night $ 20 Revenue per occupied room per night $ 75 Write the expression for total cost per month. Assume 30 days per month. Write the expression for total revenue per month. How many rooms they need to sell per night in order to break even? Suppose 5 rooms can be sold per night, how much they should charge per night in order to breakeven?
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- A certain medical device will result in an estimated $15,000 reduction in hospital labor expenses during its first year of operation. Labor expenses (and thus savings) are projected to increase at a rate of 7% per year after the first year. Additional operating expenses for the device (maintenance, electric power, etc.) are $3,500 annually, and they increase by $250 per year there after (i.e., $3,750 in year two and so on). It is anticipated that the device will last for 10 years and will have no market value at that time. If theMARR is 10 % per year, how much can the hospital afford to pay for this device? Use an Excel spreadsheet in your solution.As part of their application for a loan to buy Lakeside Farm, a property they hope to develop as a bed-and-breakfast operation, the prospective owners have projected: Monthly fixed cost (loan payment, taxes, insurance, maintenance) $6000 Variable cost per occupied room per night $ 20 Revenue per occupied room per night $ 75 A. Write the expression for total cost per month. Assume 30 days per month. B. Write the expression for total revenue per month. C. How many rooms do they need to sell per night in order to break even?Machine A costs Rs 45,000 and its operating costs are estimated to be Rs 1,000 for the first year increasing by Rs 10,000 per year in the second and subsequent years.Machine B costs Rs 50,000 and operating costs are Rs 2,000 for the first year, increasing by Rs 4,000 in the second and subsequent years.If at present we have a machine of type A, should we replace it with B? if so when?Assume that both machines have no resale value and their future costs are not discounted.
- Condo Construction Company is going to First NationalBank for a loan. At the present time, the bank is willing to lendCondo up to $1 million, with interest costs of 10%. Condobelieves that the amount of borrowed funds needed during thecurrent year is normally distributed, with a mean of $700,000and a standard deviation of $300,000. If Condo needs to borrowmore money during the year, the company will have to go toLouie the Loan Shark. The cost per dollar borrowed fromLouie is 25¢. To minimize expected interest costs for the year,how much money should Condo borrow from the bank?Your father loans you Php12,000 to make it through your senior year. His repayment schedule requires payments of Php1401.95 at the end of year for the next 15 years. What interest rate? A. 7.0% B. 7.5% C. 8.0% D. 8.5%The graphs shows the amount being paid in Social Security benefits and the amount going into the system. In 2004, the system’s income was $575 billion, projected to increase at an average rate of $43 billion per year. In which year will the system’s income be $1177 billion?The data for the system’s outflow can be modeled by the formulaB = 0.07x2 + 47.4x + 500,where B represents the amount paid in benefits, in billions of dollars, x years after 2004. According to this model, when willthe amount paid in benefits be $1177 billion? Round to the nearest year. How well do your answers model the data shown by the graphs?