Krumple inc. produces aluminum cans. production of 12-ounce cans has a standard unit quantity of 4.4 ounces of aluminum per can. during the month of april, 304,000 cans were produced using 1,243,000 ounces of aluminum. the actual cost of aluminum was $0.17 per ounce and the standard price was $0.07 per ounce. there are no beginning or ending inventories of aluminum. required: calculate the materials price and usage variances using the columnar and formula approaches. enter amounts as positive numbers and select favorable or unfavorable. materials price variance $ material usage variance

At a small store, a customer enters the front door on average every 8 minutes. a prior study indicated that the time between customers entering the front door during weekdays follows an exponential distribution. what is the probability that the time between customers entering the store on a weekday will be less than or equal to 7? select one: a. 62 b. 43 c. 1/8 d. 7/8 e. 58

Lavage rapide is a canadian company that owns and operates a large automatic car wash facility near montreal. the following table provides data concerning the company’s costs: fixed cost per month cost per car washed cleaning supplies $ 0.70 electricity $ 1,400 $ 0.07 maintenance $ 0.15 wages and salaries $ 4,900 $ 0.30 depreciation $ 8,300 rent $ 1,900 administrative expenses $ 1,400 $ 0.03 for example, electricity costs are $1,400 per month plus $0.07 per car washed. the company expects to wash 8,000 cars in august and to collect an average of $6.50 per car washed. the actual operating results for august appear below. lavage rapide income statement for the month ended august 31 actual cars washed 8,100 revenue $ 54,100 expenses: cleaning supplies 6,100 electricity 1,930 maintenance 1,440 wages and salaries 7,660 depreciation 8,300 rent 2,100 administrative expenses 1,540 total expense 29,070 net operating income $ 25,030 required: calculate the company's revenue and spending variances for august.

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.