07.07.2022 - 09:21

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 94,000 units for $50 per uni

Question:

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 94,000 units for $50 per unit. The variable production costs are $20, and fixed costs amount to $1,540,000. Production engineers have advised management that they expect unit labor costs to rise by 15 percent and unit materials costs to rise by 10 percent in the coming year. Of the $20 variable costs, 50 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 4 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 9 percent during the year.

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.

b. Compute the volume of sales and the dollar sales level necessary to provide the 9 percent increase in profits, assuming that the maximum price increase is implemented.

c. If the volume of sales were to remain at 94,000 units, what price change would be required to attain the 9 percent increase in profits? Calculate the new price.

Answers (1)
  • Delores
    April 1, 2023 в 08:03
    a. To maintain the present profit level, the dollar sales level must increase by 9 percent due to inflation. This means the new dollar sales level must be $53,143,500 (which is $1,540,000 / (1 - 0.25) x (1 - 0.15) x (1 + 0.2) + $94,000 x $50). Since sales prices cannot increase more than 10 percent, the volume in units necessary to maintain the present profit level is 94,000 units. b. To provide the 9 percent increase in profits, the dollar sales level must increase by 18 percent due to inflation and the profit increase. This means the new dollar sales level must be $60,149,000 (which is $1,540,000 x 1.09 / (1 - 0.25) x (1 - 0.15) x (1 + 0.2) + $94,000 x $50 x 1.1). Since sales prices cannot increase more than 10 percent, the volume in units necessary to provide the 9 percent increase in profits is 113,088 units (which is $60,149,000 / $53,143,500 x 94,000). c. If the volume of sales were to remain at 94,000 units and profits were to increase by 9 percent, the company would need to increase its price by 5.32 percent (which is $1,540,000 x 1.09 / ($94,000 x $30 x 1.25) - 1). The new price would be $52.66 (which is $50 x 1.0532).
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