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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. The Week 1 by Truck and Week 1 by Rail constraints each have a shadow price of −360. What do these values imply?
Minimum Average Variable Cost
The lowest point at which a company can produce its product with the least average variable costs involved.
Marginal Revenue
The incremental income a business obtains by selling one more unit of a product or service.
Average Total Cost
The total cost of producing a certain quantity of output divided by that quantity, representing the per-unit cost of production.
Economic Losses
Financial losses incurred due to factors such as market fluctuations, business operation inefficiencies, or external events affecting the economy.
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