A small company manufactures three different electronic components for computers. Component A requires 2 hours of fabrication and 1 hour of assembly; component B
requires 3 hours of fabrication and 1 hour of assembly; and component C requires 2
hours of fabrication and 2 hours of assembly. The company has up to 1,000 labor hours
of fabrication time and 800 labor hours of assembly time available each week. The
combined total of components A, B, and C can’t exceed 420 in a week. The profit on
each component A, B, and C is $7, $8, and $10 respectively. How many components of
each type should the company manufacture each week in order to maximize profit
(assuming that they can sell all that they manufacture)? What is the maximum profit