Ashley's Manufactures Home Furnishings for Department Stores Ashley Has 3000 Yards of Material in Stock for This

question 17

Short Answer

Ashley's manufactures home furnishings for department stores. Planning is underway for the production of the following items during the next production period:
$$\begin{array} { l c c c } & \text { Quilts } \left( x _ { \mathbf { 1 } } \right) & \text { Blinds } \left( \boldsymbol { x } _ { \mathbf { 2 } } \right) & \text { Pillows } \left( x _ { 3 } \right) \\\text { Fabric required (yards) } \left( \boldsymbol { d } _ { \mathbf { 1 } } \right) & 7 & 4 & 9 \\\text { Time required (hours) } \left( \boldsymbol { d } _ { \mathbf { 2 } } \right) & 1.5 & 2 & 0.5 \\\text { Packaging material (ounces) } \left( \boldsymbol { d } _ { \mathbf { 3 } } \right) & 3 & 2 & 1 \\\text { Profit } \left( \boldsymbol { d } _ { \mathbf { 4 } } \right) & 12 & 10 & 8\end{array}$$ Ashley has 3000 yards of material in stock for this production period. Five hundred hours of production time are scheduled and 400 ounces of packaging material is available. Each of these quantities can be adjusted through overtime or extra purchases. Ashley's highest priority is to achieve a profit of $3200. Her second priority is to avoid additional purchases of packaging material. Third, she wants to use all of the scheduled production hours, and fourth, minimize any fabric remaining from the 3000 yards. Note that the deviational variables associated with each item are given in the table.
-What is the packaging material constraint?

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Definitions:

Inherited Genetic Mutations

Genetic alterations passed from parent to offspring that can lead to certain diseases or physical abnormalities.

Reproductive Systems

The biological systems in both males and females that are involved in the production and facilitation of offspring through sexual reproduction.

Digestive System

A complex bodily system comprising the gastrointestinal tract and accessory organs like the liver and pancreas, essential for processing food and absorbing nutrients.

Socioeconomic Factors

The social and economic experiences and realities that shape an individual's or group's behavior, attitudes, and opportunities.