Question

A pump assembly plant assembles two types of pumps: a jet-pump and a hydro-pump. Both pump types must pass through a painting plant and an assembly plant. If the painting plant only paints jet-pumps, it can paint 2000 jet-pumps each day, whereas if it paints only hydro-pumps, it can paint 1500 hydro-pumps per day. Moreover, if the assembly plant only assembles either jet-pumps or hydro-pumps, it can assemble 2200 pumps per day. Each jet-pump brings a net profit of $3000 whereas each hydro-pump brings a net profit of $2100.

a) Provide the mathematical formulation for the LP problem if the plant’s goal is to maximize its net profit.

b) Provide the standard form of the LP problem.

Hint: Define your decision variables with their proper units first. Also check and show the units of the left and right hand sides of all constraints and the objective function

Answer 1

10 2200 ·さ 거