Carlton Construction Is Supplying Building Materials for a New Mall

question 51

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):
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:

Industry X

A placeholder name used for referring to a specific but unnamed industry or sector in a generic context.

Industry Y

This term does not refer to a specific established term within economic or business contexts so it's considered as NO.

Identical Products

Goods that are exactly the same in every aspect, often seen in perfectly competitive markets where products are indistinguishable between suppliers.

Control Over Price

The ability of a firm or market participant to influence or set the price of goods or services, often seen in markets with limited competition.