Math Problem Statement

Suppose a forwarder gives you a quote for the transport of a container from Paris to Shanghai. The cargo consists of 15 pallets, each with a volume of 1 m3 and weighing 210 kg. Compare the alternatives below in terms of the transport price. 2a. Full 40 ft container. You load the container yourself and it is transported unopened to the destination. Container rent: $100, transport door-to-door $1000. Calculate the transport price! 2b. Shared container. Forwarder picks up pallets and transports them to destination, they will be consolidated with other cargo for the sea voyage. Density cutoff at 270 kg/m3. Price per kg at 270 kg/m3 is $0,30. Calculate the transport price! 2c. Two 20 ft containers. You load the containers yourself and they are transported unopened to the destination. Container rent: $70/container, transport door-to-door $600/container. Calculate the transport price!

Solution

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Math Problem Analysis

Mathematical Concepts

Transportation Cost Calculation
Cargo Density Calculation

Formulas

Density Calculation: Actual density = Total Weight / Total Volume
Chargeable weight = Total Volume × Density Cutoff

Theorems

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Suitable Grade Level

Advanced