The Linear Programming Problem Whose Output Follows Determines How Many\[\begin{array} { c c c } \text { Constraint } & \text { Slack/Surplus } & \text { Dual Prices } \\ \hline 1 & 0 & 75 \\ 2 & 63 & 0 \\ 3 & 0 & 25 \\ 4 & 0 & - 25 \\ \hline \end{array}\]

The Answer of The Linear Programming Problem Whose Output Follows Determines How Many\[\begin{array} { c c c } \text { Constraint } & \text { Slack/Surplus } & \text { Dual Prices } \\ \hline 1 & 0 & 75 \\ 2 & 63 & 0 \\ 3 & 0 & 25 \\ 4 & 0 & - 25 \\ \hline \end{array}\]

The Linear Programming Problem Whose Output Follows Determines How Many\[\begin{array} { c c c } \text { Constraint } & \text { Slack/Surplus } & \text { Dual Prices } \\ \hline 1 & 0 & 75 \\ 2 & 63 & 0 \\ 3 & 0 & 25 \\ 4 & 0 & - 25 \\ \hline \end{array}\]

The Answer of The Linear Programming Problem Whose Output Follows Determines How Many\[\begin{array} { c c c } \text { Constraint } & \text { Slack/Surplus } & \text { Dual Prices } \\ \hline 1 & 0 & 75 \\ 2 & 63 & 0 \\ 3 & 0 & 25 \\ 4 & 0 & - 25 \\ \hline \end{array}\]

Solved

The Linear Programming Problem Whose Output Follows Determines How Many

question 78

Short Answer

The linear programming problem whose output follows determines how many red nail polishes, blue nail polishes, green nail polishes, and pink nail polishes a beauty salon should stock. The objective function measures profit; it is assumed that every piece stocked will be sold. Constraint 1 measures display space in units, constraint 2 measures time to set up the display in minutes. Constraints 3 and 4 are marketing restrictions.
MAX 100x1 + 120x2 + 150x3 + 125x4
Subject to 1. x1 + 2x2 + 2x3 + 2x4 ? 108
2. 3x1 + 5x2 + x4 ? 120
3. x1 + x3 ? 25
4. x2 + x3 + x4 > 50
x1, x2, x3, x4 ? 0
Optimal Solution:
Objective Function Value = 7475.000
$\begin{array} { c c c } \text { Variable } & \text { Value } & \text { Reduced Costs } \\\hline \text { X1 } & 8 & 0 \\\text { X2 } & 0 & 5 \\\text { X3 } & 17 & 0 \\\text { X4 } & 33 & 0 \\\hline\end{array}$
$\begin{array} { c c c } \text { Constraint } & \text { Slack/Surplus } & \text { Dual Prices } \\\hline 1 & 0 & 75 \\2 & 63 & 0 \\3 & 0 & 25 \\4 & 0 & - 25 \\\hline\end{array}$ Objective Coefficient Ranges
$\begin{array} { c c c c } \text { Variable } & \text { Lower Limit } & \text { Current Value } & \text { Upper Limit } \\\hline \text { X1 } & 87.5 & 100 & \text { none } \\\text { X2 } & \text { none } & 120 & 125 \\\text { X3 } & 125 & 150 & 162 \\\text { X4 } & 120 & 125 & 150\end{array}$ Right Hand Side Ranges
$\begin{array} { c c c c } \text { Constraint } & \text { Lower Limit } & \text { Current Value } & \text { Upper Limit } \\\hline 1 & 100 & 108 & 123.75 \\2 & 57 & 120 & \text { none } \\3 & 8 & 25 & 58 \\4 & 41.5 & 50 & 54 \\\hline\end{array}$
-How much time will be used?

Identify and understand symptoms of acute hypoxemia.

Recognize clinical signs and comprehend conditions related to pulmonary diseases.

Acquire knowledge on the equipment and procedures required for patient care in pulmonary situations.

Understand and apply procedures for reading annual tuberculosis tests.

Definitions:

Noncash Deductions

Expenses that reduce a company's taxable income but do not involve an actual cash outflow, such as depreciation and amortization.

Net Working Capital

Represents the difference between a company's current assets and current liabilities, indicating the liquidity of the business.

Pro Forma Statements

Financial statements that project the future financial performance of a company, based on certain assumptions.

Long-Term Debt

Debt with a maturity of more than one year, used to finance or capitalize lasting investments.