Problem:
The Hickory Cabinet and furniture company produces sofas, tables, and chairs at its plant in Greensboro, North Carolina. The plant uses three main resources to make furniture : wood, upholstery and labor. the resource requirements for each piece of furniture and the total resources available weekly are as follows:
wood(lb) upholstery(yd) labor(hr)
sofa 7 12 6
table 5 - 9
chair 4 7 5
available resource 2,250 1,000 240
The furniture is produced on a weekly basis and stored in a warehouse until the end of the week, when it is shipped out. the warehouse has a total capacity of 650 pieces of furniture. each sofa earns $400 in profit, each table $275 and each chair $190. the company wants to know how many pieces of each type of furniture to make per week to maximize profit.
a) Formulate a linear programming model for this problem.
b) Solve the model by using the computer.