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Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience. type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.1 20.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

Vulcan flyovers offers scenic overflights of mount st. helens, the volcano in washington state that explosively erupted in 1982. data concerning the company’s operations in july appear below: vulcan flyovers operating data for the month ended july 31 actual results flexible budget planning budget flights (q) 56 56 54 revenue ($350.00q) $ 16,500 $ 19,600 $ 18,900 expenses: wages and salaries ($3,300 + $91.00q) 8,354 8,396 8,214 fuel ($31.00q) 1,904 1,736 1,674 airport fees ($870 + $35.00q) 2,730 2,830 2,760 aircraft depreciation ($11.00q) 616 616 594 office expenses ($240 + $1.00q) 464 296 294 total expense 14,068 13,874 13,536 net operating income $ 2,432 $ 5,726 $ 5,364 the company measures its activity in terms of flights. customers can buy individual tickets for overflights or hire an entire plane for an overflight at a discount. required: 1. prepare a flexible budget performance report for july that includes revenue and spending variances and activity variances.

Frolic corporation has budgeted sales and production over the next quarter as follows. the company has 4100 units of product on hand at july 1. 10% of the next months sales in units should be on hand at the end of each month. october sales are expected to be 72000 units. budgeted sales for september would be: july august september sales in units 41,500 53,500 ? production in units 45,700 53,800 58,150