Furnco manufactures tables and chairs. A table requires40 board ft of wood, and a chair requires 30 board ft ofwood. Wood may be purchased at a cost of $1 per board ft,and 40,000 board ft of wood are available for purchase. Ittakes 2 hours of skilled labor to manufacture an unfinishedtable or an unfinished chair. Three more hours of skilledlabor will turn an unfinished table into a finished table, and2 more hours of skilled labor will turn an unfinished chairinto a finished chair. A total of 6,000 hours of skilled laborare available (and have already been paid for). All furnitureproduced can be sold at the following unit prices: unfinishedtable, $70; finished table, $140; unfinished chair, $60;finished chair, $110. Formulate an LP that will maximizethe contribution to profit from manufacturing tables andchairs.
Furnco manufactures tables and chairs. A table requires
40 board ft of wood, and a chair requires 30 board ft of
wood. Wood may be purchased at a cost of $1 per board ft,
and 40,000 board ft of wood are available for purchase. It
takes 2 hours of skilled labor to manufacture an unfinished
table or an unfinished chair. Three more hours of skilled
labor will turn an unfinished table into a finished table, and
2 more hours of skilled labor will turn an unfinished chair
into a finished chair. A total of 6,000 hours of skilled labor
are available (and have already been paid for). All furniture
produced can be sold at the following unit prices: unfinished
table, $70; finished table, $140; unfinished chair, $60;
finished chair, $110. Formulate an LP that will maximize
the contribution to profit from manufacturing tables and
chairs.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
