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 93,000 units for $85 per unit. The variable production costs are $50, and fixed costs amount to $1,530,000. 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 $50 variable costs, 60 percent are from labor and 20 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 5 percent during the year.

If the volume of sales were to remain at 93,000 units, what price change would be required to attain the 5 percent increase in profits? Calculate the new price.