Question

A firm has to transport atleast 1200 packages daily using large vans which carry 200 packages each and small vans which can take 80 packages each. The cost for engaging each large van is Rs 400 and each small van is Rs 200. Not more than Rs 3,000 is to be spent daily on the job and the number of large vans cannot exceed the number of small vans. Formulate this problem as a LPP given that the objective is to minimize cost.

Answer 1

Let the number of large vans and small vans be x and y respectively.

here transportation cost Z be objective be function,

Z = 400x + 200y which is to be minimized under constraints

200 x + 80y ≥ 1200 ⇒ 5x + 2y ≥ 30

400 x + 200y ≤ 3000 ⇒ 2x + y ≤ 15

x ≤ y, x ≥ 0, y ≥ 0