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Exhibit 4.1
The following questions are based on the problem below and accompanying Analytic Solver Platform sensitivity report.
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.
-Refer to Exhibit 4.1. Of the three percentage of effort constraints, Shipped by Truck, Shipped by Rail, and Shipped by Air, which should be examined for potential cost reduction?
Formula
A mathematical expression or rule expressed in symbols, representing the relationship between variables.
Summation
The process of adding together a sequence of numbers or other quantities to find their total.
Standard Deviation
A measure of the amount of variation or dispersion in a set of values, indicating how spread out the values are.
Greek Letter
Symbols used in mathematics, science, and engineering to denote variables, constants, and special functions.
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