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 homework 7 ©2015 david czerwinski 3 bus 190 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 $2,470 per set and with a one-time charge of $13,000. 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.