Matthew liotine‘s dream store sells beds and assorted supplies. his best-selling bed has an annual demand of 400 units. ordering cost is $40; holding cost is $5 per unit per year. a) to minimize the total cost, how many units should be ordered each time an order is placed? b) if the holding cost per unit was $6 instead of $5, what would be the optimal order quantity?

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.

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.

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.