A Cement Company Has Three Factories That They Identify as Alpha

question 5

Essay

A cement company has three factories that they identify as Alpha, Beta, and Gamma. They supply cement to three warehouses referred to as 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:
$\begin{array}{lccccc}&&\text { Warehouses }\\\text { Factories }&X&Y&Z&\text { Capacities (bags) }\\\text { Alpha } & \$ .40 & \$ .60 & \$ .78 & 10,000 \\\text { Beta } & 0.65 & 0.78 & 0.59 & 9,000 \\\text { Gamma } & 0.56 & 0.61 & 0.71 & 7,000 \\\text { Requirements (bags) } & 10,000 & 5,000 & 10,000 &\end{array}$
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?

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Definitions:

High Tech

Technologies that are at the cutting edge, the most advanced stage of development in the fields such as information technology, robotics, biotech, etc.

Low Tech

Technologies that are simple, easy to use and maintain, and often do not require advanced knowledge or training to operate.

Medium Tech

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Kickoff Activity

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