A firm has two plants that produce identical output. The cost functions are Upper C 1 equals 309 q minus 8 q squared plus 0.5 q cubed and Upper C 2 equals 309 q minus 14 q squared plus 1.0 q cubed. First, note that if AC 1equals309minus8qplus0.5q squared, then StartFraction dAC 1 Over dq EndFraction equals negative 8 plus 2 (0.5 )q . Similarly, if AC 2equals309minus14qplus1.0q squared, then StartFraction dAC 2 Over dq EndFraction equals negative 14 plus 2 (1.0 )q . At what output level does the average cost curve of each plant reach its minimum? The first plant reaches minimum average cost at nothing units of output. (E

Dollywood corporation accumulates the following data concerning a mixed cost, using miles as the activity level. miles driven total cost january 10,000 $16,500 february 8,000 $14,500 march 9,000 $12,500 april 7,000 $12,000 compute the variable and fixed cost elements using the high-low method

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.

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.