A recent MSOE graduate wants to set up an endowment fund that can award scholarships to engineering students totaling $100,000 per year forever. The first scholarships are to be granted now and continue each year from now on. How much must the alumni donate now, if the endowment fund is expected to earn interest at a rate of 5% per year?

You are the manager of a firm that produces output in two plants. the demand for your firm's product is p = 20 − q, where q = q1 + q2. the marginal costs associated with producing in the two plants are mc1 = 2 and mc2 = 2q2. how much output should be produced in plant 1 in order to maximize profits?

You are thinking of making your mansion more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs, and insulating part or all of your exterior walls. each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† your mansion has 150 light fittings and 3000 sq ft of uninsulated exterior wall. to impress your friends, you would like to spend as much as possible, but save no more than $750 per year in energy costs (you are proud of your large utility bills). how many compact fluorescent light bulbs and how many square feet of insulation should you purchase? how much will you save in energy costs per year? (if an answer does not exist, enter dne.)

Do it! review 16-3 the assembly department for right pens has the following production data for the current month. beginning work in process units transferred out ending work in process 0 22,500 16,000 materials are entered at the beginning of the process. the ending work in process units are 70% complete as to conversion costs. compute the equivalent units of production for (a) materials and (b) conversion costs. materials conversion costs the equivalent units of production