Suppose a production function is given by f(k, l) = kl2 ; the price of capital is $10 and the price of labor is $15. what combination of labor and capital minimizes the cost of producing any output? to produce a given level of output q, how many units of l and k are needed? express the optimal inputs choices l(q) and k(q) as functions of the level of output q.

Martinez manufacturing applies overhead based on direct labor hours. the company estimates that their overhead for the year will be $180,000, and that they will use 72,000 direct labor hours. during the year, martinez manufacturing actually used 75,000 direct labor hours and actual overhead costs were $190,000. at the end of the year, manufacturing overhead was: overapplied by $2,500. overapplied by $10,000. underapplied by $2,500. underapplied by $10,000.

1) u.s. real gdp is substantially higher today than it was 60 years ago. what does this tell us, and what does it not tell us, about the well-being of u.s. residents? what are the limitations of the gdp as a measure of economic well-being? given the limitations, why is gdp usually regarded as the best single measure of a society’s economic well-being? 2) what is an intermediate good? how does an intermediate good differ from a final good? explain why it is the case that the value of intermediate goods produced and sold during the year is not included directly as part of gdp, but the value of intermediate goods produced and not sold is included directly as part of gdp.

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.)