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

question 4

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 profit constraint?

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Definitions:

Controlling Account

A controlling account is a summary account in the general ledger that aggregates the total balances of all related subsidiary accounts. It is often used in relation to accounts receivable and payable.

General Ledger

A comprehensive accounting record of all transactions that have taken place over the life of an organization, serving as the primary data source for the financial statements.

Labor Costs

Expenses related to the compensation of employees, including wages, salaries, benefits, and taxes associated with labor.

Time Tickets

The form on which the amount of time spent by each employee and the labor cost incurred for each individual job, or for factory overhead, are recorded.