Carlton Construction Is Supplying Building Materials for a New Mall

question 37

Essay

Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):
$\begin{array}{cccc}\text { Week } & \text { Trucking Limits } & \text { Railway Limits } & \text { Air Cargo Limits } \\\hline 1 & 45 & 60 & 15 \\2 & 50 & 55 & 10 \\3 & 55 & 45 & 5 \\\hline \text { Costs (\$ per } 1000 \text { tons) } & \$ 200 & \$ 140 & \$ 400\end{array}$
The following is the LP model for this logistics problem.
What formula goes in cells F10, E3, E4, E5, and B6 of this Excel spreadsheet?

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Definitions:

Direct Materials

The raw materials directly used in the production of goods.

Direct Labor-Hours

The total time workers spend producing a product or service, directly involved in the manufacturing or production process.

Variable Overhead

Costs that fluctuate with the level of production output, such as utilities for a manufacturing plant, which increase as production increases.

Direct Materials

Raw materials that can be directly associated with the production of specific goods or services and are a major component of total manufacturing costs.