A perpetuity provides for continuous payments. The annual rate of payment at time t is { 1, 0 <= t <10 (1.03)^t-10, t >=10 Using an annual effective interest rate of 6%, the present value at time t = 0 of this perpetuity is x. Calculate X. a. 27.03 b. 30.29 c. 34.83 d. 38.64 e. 42.41

Ajustification for job training programs is that they improve worker productivity. suppose that you are asked to evaluate whether more job training makes workers more productive. however, rather than having data on individual workers, you have access to data on manufacturing firms in ohio. in particu- lar, for each firm, you have information on hours of job training per worker (training) and number of nondefective items produced per worker hour (output). (i) carefully state the ceteris paribus thought experiment underlying this policy question. (ii) does it seem likely that a firm’s decision to train its workers will be independent of worker characteristics? what are some of those measurable and unmeasurable worker characteristics? (iii) name a factor other than worker characteristics that can affect worker productivity. (iv) if you find a positive correlation between output and training, would you have convincingly established that job training makes workers more productive? explain.

Oceanside marine company manufactures special metallic materials and decorative fittings for luxury yachts that require highly skilled labor. oceanside uses standard costs to prepare its flexible budget. for the first quarter of the year, direct materials and direct labor standards for one of their popular products were as follows: direct materials: 2 pound per unit; $ 11 per pound direct labor: 2 hours per unit; $ 19 per hour oceanside produced 2 comma 000 units during the quarter. at the end of the quarter, an examination of the direct materials records showed that the company used 7 comma 500 pounds of direct materials and actual total materials costs were $ 98 comma 100. what is the direct materials cost variance? (round any intermediate calculations to the nearest cent, and your final answer to the nearest dollar.)

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.)