A Manufacturing Firm Has Three Plants and Wants to Find

question 64

Multiple Choice

A manufacturing firm has three plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below:
$$\text{Customer (requirement) }\\\begin{array} { l c c c c } &&&Customer ~3 &Customer ~4\\\text { Factory (capacity) } & \text { Custcmer } 1 ( 25 ) & \text { Customer } 2 ( 50 ) & ( 125 ) & ( 75 ) \\ \text { A (100) } & \$ 15 & \$ 10 & \$ 20 & \$ 17 \\ B ( 75 ) & \$ 20 & \$ 12 & \$ 19 & \$ 20 \\ \text { C (100) } & \$ 22 & \$ 20 & \$ 25 & \$ 14 \end{array}$$
Which type of network optimization problem is used to solve this problem?

• A) Maximum-Cost Flow problem
• B) Minimum-Cost Flow problem
• C) Maximum Flow Problem
• D) Minimum Flow Problem
• E) Shortest Path Problem

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Definitions:

Purchase

is the action of acquiring goods or services in exchange for money or an equivalent consideration.

Chi-Square

A statistical test used to determine if there is a significant difference between the expected frequencies and the observed frequencies in one or more categories.

Goodness-Of-Fit Test

A statistical test used to see how well sample data fit a distribution from a population with a normal distribution.

Lower-Tail Test

A statistical test used to determine if a data sample is significantly lower than the population mean.