Consider the following aggregate planning problem for one quarter: Regular Time Overtime Subcontracting Production Capacity/Month 1,000 200 150 Production Cost/Month 5 7 8 Assume that there is no initial inventory and there is forecasted demand of 1,250 units in each month in the quarter. Carrying cost is $1 per unit per month, and backlogs are not allowed. Use the transportation model to find the optimal solution. How much excess capacity is there? units What is the cost of the optimal solution? How many units are actually made by subcontracting? How many units incur a holding cost? In other words, how many are made in one month and held to meet the demand of a future month? units

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.