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Use the Table Below to Answer the Following Question(s) Use a Linear Optimization Model Based on the Data to Hides

question 29

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Use the table below to answer the following question(s) .
Letherin Hides is a company that makes boots specifically targeting college students. Forecasts of sales for the next year are 200 in the summer, 450 in the autumn, and 500 in the winter.
Accessories that are used on the boots are purchased from a supplier for $31.66. The cost of capital is estimated to be 24% per year (or 6% per quarter) ; thus, the holding cost per item is 0.06($31.66) = $1.9 per quarter (rounded figure) . Letherin Hides hires freelance art designers at part-time to craft designs during the summer, and they earn $6 per hour. In the autumn, labor is more difficult to keep, and the owner must pay $6.5 per hour to retain qualified help. Because of the high demand for part-time help during the winter holiday season, labor rates are higher in the winter, and workers earn $7.75 per hour. Each boot design takes 2 hours to complete. How should production be planned over the three quarters to minimize the combined production and inventory holding costs?
The table below provides information on Letherin Hides boot design cost and production.  Letherin Hides  Data  Summer  Autumn  Winter  Unit Production  Cost 121315.5 Unit Inventory  Holding Cost 1.91.91.9 Demand 200450500\begin{array}{|l|l|l|l|}\hline \text { Letherin Hides } & & & \\\hline & & & \\\hline \text { Data } & & & \\\hline & & & \\\hline & \text { Summer } & \text { Autumn } & \text { Winter } \\\hline \begin{array}{l}\text { Unit Production } \\\text { Cost }\end{array} & 12 & 13 & 15.5 \\\hline \text { Unit Inventory } & & & \\\text { Holding Cost } & 1.9 & 1.9 & 1.9 \\\hline \text { Demand } & 200 & 450 & 500 \\\hline\end{array} Use a linear optimization model based on the data to answer the following questions.
-According to the linear optimization model, what is the total cost incurred by Letherin Hides for the combined seasons?

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Definitions:

Nominal

Pertaining to data that consist of names, labels, or categories without a natural order or ranking.

Dependent Variable

The variable in an experimental or observational study that is influenced or changed by the independent variable.

Type of Wine Preferred

Individual preference regarding different categories or varieties of wine, often investigated in marketing research and sensory analysis.

Dependent Variable

A variable in experimental and observational research that is assumed to depend on or be caused by another variable (the independent variable).

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