The office manager of a large New York City-based accounting firm needs to replace the aging and out-of-style office furniture in their New York offices. The firm has decided to purchase desk/chair/credenza furniture sets for all 2,000 offices in New York. The company has received bids from four different furniture companies who are willing to supply the furniture sets, as follows: Carolina Woodworks has bid to deliver up to 1,000 furniture sets at a cost of $2,500 per set and with a one-time charge of $10,000.
Nashawtuc Millworks has bid to deliver up to 1,200 furniture sets at a cost of $2,450 per set and with a one-time charge of $20,000
Adirondack Furnishing Designs has bid to deliver up to 800 furniture sets at a cost of $2,510 per set with no additional charges.
Lancaster Artisan Company has bid to deliver up to 1,100 furniture sets at a cost of S2,470 per set and with a one-time charge of S13,000.
Formulate a mixed integer optimization model that could be used to determine how many furniture sets to purchase from each of the four potential suppliers in order to minimize cost.

The manager of a branch office of banco mexicali observed that during peak hours an average of 20 customers arrives per hour and that there is an average of 6 customers in the branch office at any time. how long does the average customer spend waiting in line and being serviced?

Darlene has a balance of 3980 on a credit card with an apr of 22.8% paying off her balance and which of these lengths of time will result in her paying the least amount of interest?

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.