2 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 6000 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.