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A Cement Company Has Three Factories That They Identify as Alpha

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A cement company has three factories that they identify as Alpha, Beta, and Gamma.They supply cement to three warehouses that they call X, Y, and Z.The company wants to determine how much cement should be shipped from each factory to each warehouse to minimize shipping costs.The cost to ship each 100-pound bag, along with warehouse requirements and factory capacities in bags are shown in the table below:
A cement company has three factories that they identify as Alpha, Beta, and Gamma.They supply cement to three warehouses that they call X, Y, and Z.The company wants to determine how much cement should be shipped from each factory to each warehouse to minimize shipping costs.The cost to ship each 100-pound bag, along with warehouse requirements and factory capacities in bags are shown in the table below:     a.How many decision variables are there in this problem? b.What is (are) the constraint(s) corresponding to Factory Alpha? c.How many constraints are required for this problem?
a.How many decision variables are there in this problem?
b.What is (are) the constraint(s) corresponding to Factory Alpha?
c.How many constraints are required for this problem?


Definitions:

Pricing Decisions

The process of determining the price at which a company will sell its products or services.

Marketing And Sales

The combined processes focused on creating awareness about products or services, attracting potential customers, and converting interest into purchases.

Promotion

The efforts taken by a company to increase awareness of a product or service to stimulate sales through advertising and incentives.

Predictable Demand Variability

Refers to fluctuations in demand that can be anticipated based on patterns or historical data.

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