Earl Ezekiel wants to retire in San Diego when he is 65 years old. Earl is now 43. He believes he will need $480,000 to retire comfortably. To date, Earl has set aside no retirement money. Assume Earl gets 6% interest compounded semiannually. How much must Earl invest today to meet his $480,000 goal

Afirm that makes electronic circuits has been ordering a certain raw material 250 ounces at a time. the firm estimates that carrying cost is i = 30% per year, and that ordering cost is about $20 per order. the current price of the ingredient is $200 per ounce. the assumptions of the basic eoq model are thought to apply. for what value of annual demand is their action optimal?

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

On coral island in 2012, the labor force is 12,000, the unemployment rate is 10 percent, and the labor force participation rate is 60 percent. during 2013, 200 unemployed people found jobs and the working-age population increased by 1,000. the total number of people in the labor force did not change. the working-age population at the end of 2013 was the unemployment rate at the end of 2013 was round up to the second decimal. the labor force participation rate at the end of 2013 was round up to the second decimal.