Office Supply Company (OSC) has a spare parts warehouse in Alaska to support its office equipment maintenance needs. Once every six months, a major replenishment shipment is received. If the inventory of any given part runs out before the next replenishment, then emergency air shipments are used to resupply the part as needed. Orders are placed semiannually, on January 1 and July 1 of each year. OSC must determine replenishment quantities for its spare parts. Historical data show that total demand for part 1AA-66 over a six-month interval is Poisson distributed with mean 6.5. The cost of inventorying the unneeded part for six months is $5 (which includes both physical and financial holding costs and is charged based on inventory at the end of the six-month period). The unit cost under regular, semiannual shipment is $32 per part, and the cost of an emergency shipment is $50 per part. It is now January 1 and OSC has three 1AA-66 parts currently in inventory. How many parts should they order under their regular shipment for the next six months

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.]

Afinancing project has an initial cash inflow of $42,000 and cash flows of −$15,600, −$22,200, and −$18,000 for years 1 to 3, respectively. the required rate of return is 13 percent. what is the internal rate of return? should the project be accepted?

Which is cheaper: eating out or dining in? the mean cost of a flank steak, broccoli, and rice bought at the grocery store is $13.04 (money. msn website, november 7, 2012). a sample of 100 neighborhood restaurants showed a mean price of $12.75 and a standard deviation of $2 for a comparable restaurant meal. a. develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean cost of a restaurant meal is less than fixing a comparable meal at home. b. using the sample from the 100 restaurants, what is the p-value? c. at a = .05, what is your conclusion? d. repeat the preceding hypothesis test using the critical value approach