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Use the Table Below to Answer the Following Questions) Answer the Following Questions Using a Linear Optimization Model

question 20

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Use the table below to answer the following questions) .
Remington Textiles has a mill that produces three types of fabrics on a make-to-order basis. The mill operates on a 24/7 basis. The key decision facing the plant manager is about the type of loom needed to process each fabric during the coming 12 weeks to meet demands for the three fabrics and not exceed the capacity of the looms in the mill. Two types of looms are used: Jaquard and Northrop. Jaquard looms can be used to make all fabrics and are the only looms that can weave certain fabrics, such as plaids. Demands, variable costs for each fabric, and production rates on the looms are given in the table below. The mill has 10 Northrop looms and 2 Jaquard looms. Any fabrics that cannot be woven in the mill because of limited capacity will be purchased from an external supplier, finished at the mill, and sold at the selling price. In addition to determining which looms to use to process the fabrics, the manager also needs to determine which fabrics to buy externally.  Remington  Textiles  Data  Fabric  Demand  Jaquard  Northrop  Capacity  Capacity  Mill Cost  Outsourcing  yards)   yards/hour)   yards/hour)   $/yard)   Cost $/yard)  150,0005.600.530.81262,0005.24.80.60.85335,0004.84.50.710.84\begin{array}{|l|l|l|l|l|l|}\hline\text { Remington } & & & \\\text { Textiles } & & & \\\hline & & & &\\\hline \text { Data }\\\hline \text { Fabric } & \text { Demand } & \text { Jaquard } & \text { Northrop } \\&&\text { Capacity } & \text { Capacity } & \text { Mill Cost } & \text { Outsourcing } \\&\text { yards) } & \text { yards/hour) } & \text { yards/hour) } & \text { \$/yard) } & \text { Cost \$/yard) }\\\hline 1 & 50,000 & 5.6 & 0 & 0.53 & 0.81 \\\hline 2 & 62,000 & 5.2 & 4.8 & 0.6 & 0.85 \\\hline 3 & 35,000 & 4.8 & 4.5 & 0.71 & 0.84 \\\hline\end{array} Answer the following questions using a linear optimization model.
-According to the model, what is the total amount of Fabric 3 to be produced with Northrop?


Definitions:

Sexual Selection

A mode of natural selection where certain traits become more pronounced in a population because they are attractive to the opposite sex or aid in competitive success among the same sex.

Fecundity

the potential reproductive capacity of an individual or population, often measured by the number of offspring born.

Viability

The capacity of being alive or living successfully, often used in the context of whether a fetus can survive outside the womb or the sustainability of a project or plan.

Bonobos

A species of great ape known for its matriarchal society, peaceful behavior, and complex social interactions, sharing 98.7% of their DNA with humans.

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