A group of young students earn a steady living by picking up discounted items from a used electronics store for 10$ a piece and reselling them. Each item has a street value, a weight, and a volume; there are limits on the number of available items (as shown). A total weight of 500 lbs and a total volume of 300 cu. ft. can be transported in one attempt.
Item value($) weight (lbs) volume (cu. ft.) availability
TV 40 30 8 20
Laptop 50 10 5 30
Monitor 120 20 4 15
(a) Formulate a LP problem to find how many of each items should the students pick for reselling. 1
(b) Solve it by the simplex method in tabular form showing the intermediate steps.