A system consists of three identical components. In order for the system to perform as intended, all of the components must perform. Each have the same probability of performance. If the system is to have a 0.92 probability of performing, what is the minimum probability of performing needed by each of the individual components?

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?

Variable rate cd’s = $90 treasury bills = $150 discount loans = $20 treasury notes = $100 fixed rate cds = $160 money market deposit accts. = $140 savings deposits = $90 fed funds borrowing = $40 variable rate mortgage loans $140 demand deposits = $40 primary reserves = $50 fixed rate loans = $210 fed funds lending = $50 equity capital = $120 a. develop a balance sheet from the above data. be sure to divide your balance sheet into rate-sensitive assets and liabilities as we did in class and in the examples. b. perform a standard gap analysis and a duration analysis using the above data if you have a 1.15% decrease in interest rates and an average duration of assets of 5.4 years and an average duration of liabilities of 3.8 years. c. indicate if this bank will remain solvent after the valuation changes. if so, indicate the new level of equity capital after the valuation changes. if not, indicate the amount of the shortage in equity capital.

Carlton industries is considering a new project that they plan to price at $74.00 per unit. the variable costs are estimated at $39.22 per unit and total fixed costs are estimated at $12,085. the initial investment required is $8,000 and the project has an estimated life of 4 years. the firm requires a return of 8 percent. ignore the effect of taxes. what is the degree of operating leverage at the financial break-even level of output?