Formulate and Solve Optimization Models with Binary Variables and Logical

question 6

Multiple Choice

Formulate and solve optimization models with binary variables and logical constraints. LO2: Use a modern software tool to perform statistical calculations.
Use the table below to answer the following question(s) using the standard Solver. Below is the spreadsheet for a plant location model: $\begin{array}{|l|l|l|l|l|l|l|}\hline &{\text { A }} & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } \\\hline 1 & \begin{array}{l}\text { Plant Location } \\\text { Model }\end{array} & & & & & \\\hline 2 & & & & & & \\\hline 3 & \text { Data } & & & & & \\\hline4&&&\text { Distribution Center }\\\hline 5 & \text { Plant } & \text { Houston } & \text { San Jose } & \text { Jacksonville } & \text { Memphis } & \text { Capacity } \\\hline 6 & \text { Dallas } & \$ 11.80 & \$ 16.48 & \$ 12.35 & \$ 18.56 & 1,300 \\\hline 7 & \text { Atlanta } & \$ 8.54 & \$ 14.65 & \$ 9.58 & \$ 18.25 & 750 \\\hline 8 & \text { Detroit } & \$ 12.89 & \$ 10.78 & \$ 7.85 & \$ 10.28 & 1,400 \\\hline 9 & \text { Baltimore } & \$ 14.36 & \$ 18.95 & \$ 14.61 & \$ 6.64 & 1,300 \\\hline 10 & \text { Demand } & 350 & 450 & 800 & 1,700 & \\\hline 11 & \\\hline 12 & \text { Model } \\\hline 13 & \\\hline 14 & \text { Amount Shipped }&&\text { Distribution Center } \\\hline 15 & \text { Plant } & \text { Houston } & \text { San Jose } & \text { Jack sonville } & \text { Memphis } & \text { Total Shipped } \\\hline 16 & \text { Dallas } & & & & & \\\hline 17 & \text { Atlanta } \\\hline 18 & \text { Detroit } \\\hline 19 & \text { Baltimore } \\\hline 20 & \text { Supply } \\\hline 21 & \\\hline 22 & \text { Total Cost } \\\hline 23 & \$ 0.00 \\\hline\end{array}$
-What is the total amount shipped by the Detroit plant to the distribution centers?

• A) 750
• B) 1,000
• C) 1,400
• D) 1,300

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Definitions:

Compute Mean

The process of calculating the arithmetic average of a set of numbers by summing them up and dividing by the count of numbers.

Predictors

Variables used in regression analysis to forecast the value of an outcome variable.

Independent Variable

An independent variable is a variable that is manipulated or changed in an experiment to test its effect on a dependent variable.

Dependent Variable

The outcome factor in a study that changes in response to manipulations of the independent variable.