If the total revenue function for an item is r(x) = 35x - 0.25 x2 , first determine how many units x must be sold of the item in order to produce the maximum total revenue possible for this product and then use this amount to compute the maximum total revenue possible to be generated by this item.

Rolston music company is considering the sale of a new sound board used in recording studios. the new board would sell for $27,200, and the company expects to sell 1,570 per year. the company currently sells 2,070 units of its existing model per year. if the new model is introduced, sales of the existing model will fall to 1,890 units per year. the old board retails for $23,100. variable costs are 57 percent of sales, depreciation on the equipment to produce the new board will be $1,520,000 per year, and fixed costs are $1,420,000 per year.if the tax rate is 35 percent, what is the annual ocf for the project?