Question

Question: 6. Scholes Systems supplies a particular type of office chair to large retailers such as Target, ... 6. Scholes Systems supplies a particular type of office chair to large retailers such as Target, Costco, and Office Max. Scholes is concerned about the possible effects of inflation on its operations. Presently, the company sells 82,000 units for $70 per unit. The variable production costs are $40, and fixed costs amount to $1,420,000. Production engineers have advised management that they expect unit labor costs to rise by 15 percent and unit materials costs to rise by 5 percent in the coming year. Of the $40 variable costs, 45 percent are from labor and 25 percent are from materials. Variable overhead costs are expected to increase by 20 percent. Sales prices cannot increase more than 10 percent. It is also expected that fixed costs will rise by 5 percent as a result of increased taxes and other miscellaneous fixed charges. The company wishes to maintain the same level of profit in real dollar terms. It is expected that to accomplish this objective, profits must increase by 6 percent during the year. Required: a. Compute the volume in units and the dollar sales level necessary to maintain the present profit level, assuming that the maximum price increase is implemented. (Do not round intermediate calculations. Round up your answer for "Volume in units" to the nearest whole number and round your answer for "Sales" to the nearest whole dollar amount.) b. Compute the volume of sales and the dollar sales level necessary to provide the 6 percent increase in profits, assuming that the maximum price increase is implemented. (Do not round intermediate calculations. Round up your answer for "Volume in units" to the nearest whole number and round your answer for "Sales" to the nearest whole dollar amount.) c. If the volume of sales were to remain at 82,000 units, what price change would be required to attain the 6 percent increase in profits? Calculate the new price. (Round intermediate calculations of unit cost and final answer to 2 decimal places.)

Answer 1

Actual selling price is 82000 units @$70 =$ 57,40,000 and total cost is = Fixed cost + variable cost = $14,20,000+$32,80,000(82000×$40) =$47,00,000 Profit = $10,40,000 6% of increase in profit is $11,02,400 ($1040000 ×6%) if Fixed cost is increased by 5% & the variable production cost each by 5.6($40+ 5.6=$45.6)( considering of the $40 variable costs, 45% are labour & 25% material and variable overheads increased by 20% and 15% in labour & 5% in material) Total Cost will be = $14,91,0000 +37,39,200(82000×45.6) = $52,30,200 so the sales should be 820000 units @ $77.23 = 63,32,600(considering 6% increase in profit)