The frisbee pie company can make pie tins for bakeries, which are willing to pay ($40 - $2.45*q1) per dozen, where q1 is the number of dozens of pie tins. but the fraternities and sororities at the nearby university are willing to pay ($38 - $3.05*q2) per dozen, where q2 is the number of dozens of pie tins {to be used to throw around the front lawns of their houses}. it costs ($22 + $2.65*q) to produce q dozen tins. management wants to maximize profit (i. e., revenue minus cost).write out the complete algebraic formulation (decision variables, objective function, constraints).

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?