A logistics firm must move 2,000 tonnes of goods from Port X to City Y (distance 300 km). Two transport options are available:

- **Truck**: carries 20 tonnes per trip, fuel cost = ₦150 per km, speed = 60 km h⁻¹, toll per trip = ₦2,000.
- **Rail wagon**: carries 50 tonnes per trip, freight charge = ₦30 per tonne‑km, speed = 80 km h⁻¹, loading/unloading cost per wagon = ₦5,000.

The firm wants the lowest monetary cost while ensuring that the total delivery time does not exceed 8 hours. Assuming all trips start simultaneously after loading, which combination of trucks and wagons should be used? State the number of trucks, number of wagons and the total cost.

Question

A logistics firm must move 2,000 tonnes of goods from Port X to City Y (distance 300 km). Two transport options are available:

- **Truck**: carries 20 tonnes per trip, fuel cost = ₦150 per km, speed = 60 km h⁻¹, toll per trip = ₦2,000.
- **Rail wagon**: carries 50 tonnes per trip, freight charge = ₦30 per tonne‑km, speed = 80 km h⁻¹, loading/unloading cost per wagon = ₦5,000.

The firm wants the lowest monetary cost while ensuring that the total delivery time does not exceed 8 hours. Assuming all trips start simultaneously after loading, which combination of trucks and wagons should be used? State the number of trucks, number of wagons and the total cost.

Accepted Answer

100 trucks, 0 wagons; total cost ₦4,700,000

Waec Model Questions Vol1 2022 Geography Question 30

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