4. consider a hotel manager accepting reservations for the holiday season. the capacity available is 2,000 rooms and hotel makes $200 for each room sold. the manager must decide on how many orders to commit at this time. if it has reservations that exceed capacity, it must arrange for backup capacity that results in a loss of $100 per dress. travelers have been known to cancel orders near the holiday season as their plans change. how many reservations should the manager accept if cancellations are normally distributed, with a mean of 500 and a standard deviation of 150? (15 points)

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Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening.a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number.include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i.e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?

Analyzing and computing accrued warranty liability and expense waymire company sells a motor that carries a 60-day unconditional warranty against product failure. from prior years' experience, waymire estimates that 2% of units sold each period will require repair at an average cost of $100 per unit. during the current period, waymire sold 69,000 units and repaired 1,000 units. (a) how much warranty expense must waymire report in its current period income statement? (b) what warranty liability related to current period sales will waymire report on its current period-end balance sheet? (hint: remember that some units were repaired in the current period.) (c) what analysis issues must we consider with respect to reported warranty liabilities?