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Use the Case Below to Answer the Following Question(s)

question 27

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Use the case below to answer the following question(s) .
Rolling Inc.produces cars at two plants: Baltimore,Maryland,and Orlando,Florida.They ship them to major distribution centers in Minnesota,Dallas,Los Angeles,and Memphis.The Accounting,Production,and Marketing departments have provided the information in the table below,which shows the unit cost of shipping between any plant and distribution center to minimize the total transportation cost,not exceed available capacity,and meet customer demand. Use the case below to answer the following question(s) . Rolling Inc.produces cars at two plants: Baltimore,Maryland,and Orlando,Florida.They ship them to major distribution centers in Minnesota,Dallas,Los Angeles,and Memphis.The Accounting,Production,and Marketing departments have provided the information in the table below,which shows the unit cost of shipping between any plant and distribution center to minimize the total transportation cost,not exceed available capacity,and meet customer demand. Suppose demand forecasts exceed the existing capacity and the company is considering adding a new plant from among two choices: Ohio or Kansas.Both plants would have a capacity of 3,000 units but only one can be built.The table below shows the revised data. Use double-subscripted variables to simplify the formulation.Define X<sub>ij</sub> = amount shipped from plant i to distribution center j,where i = 1 represents Baltimore,and j = 1 represents Minnesota. Define a binary variable for the decision of which plant to build: Y<sub>1</sub> = 1 if the Ohio plant is built,and Y<sub>2</sub> = 1 if the Kansas plant is built. -The inequality/equality that explains the demand constraint for Memphis is ________. A) X<sub>41</sub> + X<sub>42</sub> ≤ 1,400 B) X<sub>41</sub> + X<sub>42</sub>+ X<sub>43</sub> + X<sub>44</sub> = 3,600 C) X<sub>14</sub> + X<sub>24</sub>+ X<sub>34</sub> + X<sub>44</sub> ≥ 1,400 D) X<sub>14</sub> + X<sub>24</sub>+ X<sub>34</sub> + X<sub>44</sub> = 3,600 Suppose demand forecasts exceed the existing capacity and the company is considering adding a new plant from among two choices: Ohio or Kansas.Both plants would have a capacity of 3,000 units but only one can be built.The table below shows the revised data. Use the case below to answer the following question(s) . Rolling Inc.produces cars at two plants: Baltimore,Maryland,and Orlando,Florida.They ship them to major distribution centers in Minnesota,Dallas,Los Angeles,and Memphis.The Accounting,Production,and Marketing departments have provided the information in the table below,which shows the unit cost of shipping between any plant and distribution center to minimize the total transportation cost,not exceed available capacity,and meet customer demand. Suppose demand forecasts exceed the existing capacity and the company is considering adding a new plant from among two choices: Ohio or Kansas.Both plants would have a capacity of 3,000 units but only one can be built.The table below shows the revised data. Use double-subscripted variables to simplify the formulation.Define X<sub>ij</sub> = amount shipped from plant i to distribution center j,where i = 1 represents Baltimore,and j = 1 represents Minnesota. Define a binary variable for the decision of which plant to build: Y<sub>1</sub> = 1 if the Ohio plant is built,and Y<sub>2</sub> = 1 if the Kansas plant is built. -The inequality/equality that explains the demand constraint for Memphis is ________. A) X<sub>41</sub> + X<sub>42</sub> ≤ 1,400 B) X<sub>41</sub> + X<sub>42</sub>+ X<sub>43</sub> + X<sub>44</sub> = 3,600 C) X<sub>14</sub> + X<sub>24</sub>+ X<sub>34</sub> + X<sub>44</sub> ≥ 1,400 D) X<sub>14</sub> + X<sub>24</sub>+ X<sub>34</sub> + X<sub>44</sub> = 3,600 Use double-subscripted variables to simplify the formulation.Define Xij = amount shipped from plant i to distribution center j,where i = 1 represents Baltimore,and j = 1 represents Minnesota.
Define a binary variable for the decision of which plant to build: Y1 = 1 if the Ohio plant is built,and Y2 = 1 if the Kansas plant is built.
-The inequality/equality that explains the demand constraint for Memphis is ________.

Definitions:

Median

The value separating the higher half from the lower half of a data sample, a population, or a probability distribution, often used as a measure of central tendency.

Variability

A measure of the dispersion or spread of data points in a dataset, indicating how much the numbers differ from each other and from the mean.

Measures Of Variability

Statistics that describe the extent to which scores in a distribution differ from one another, including the range, variance, and standard deviation.

Spread

A statistical term describing the range, distance, or variance between data points in a dataset, indicating the variability within the data.

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