Question

A firm owned by Abhirami has to transport 1200 packages using large vans which can 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 Rs 200. Not more than Rs 3000 is to be spent on the job and the number of large vans cannot exceed the number of small vans. Solve this L.P.P. graphically to find the minimum cost.

Answer 1

Let the number of large vans be x and small vans be y minimize z 

= 400x + 200y subject to the constraints 

200x + 80y ≥ 1,200 

400x + 200y ≤ 3,000 

x ≤ y

z is min at B (\(\frac{30}{7}\), \(\frac{30}{7}\))

Z_min = 2,571.4.