Question

Eighty kilograms of store material is to be transported to a location 10 km away. Any number of couriers can be used to transport the material. The material can be packed in any number of units of 10, 20 or 40 kg. Courier charges are Rs. 10 per hour. Couriers travel at the speed of 10 km/hr if they are not carrying any load, at 5 km/hr if carrying 10 kg, at 2 km/hr if carrying 20 kg and at 1 km/hr if carrying 40 kg. A courier cannot carry more than 40 kg of load. The minimum cost at which 80 kg of store material can be transported to its destination will be :

• A. Rs. 180
• B. Rs. 160
• C. Rs. 140
• D. Rs. 120

Hint:

When calculating transportation costs, consider using the fastest couriers for smaller loads to reduce travel time and cost.

Answer 1

The Correct Option is C

To minimize the cost, we need to consider how many couriers should be used and how much weight they carry. Couriers carrying smaller weights travel faster, so using multiple couriers carrying smaller loads minimizes the total time and cost. After calculations, the minimum cost to transport 80 kg is Rs. 140.