Given the Following Linear Programming Problem
Max
10x₁ + 12x₂ $\ge$

question 4

Essay

Given the following linear programming problem
Max
10x₁ + 12x₂
s.t.
1x₁ + 2x₂ $\ge$ 40
5x₁ + 8x₂ $\le$ 160
1x₁ + 1x₂ $\le$ 40
x₁, x₂ $\ge$ 0
the final tableau is $$\begin{array} { c c | c c c c c | c } & & \mathrm { x } _ { 1 } & \mathrm { x } _ { 2 } & \mathrm {~s} _ { 1 } & \mathrm {~s} _ { 2 } & \mathrm {~s} _ { 3 } & \\\text { Basis } & \mathrm { c } _ { \mathrm { B } } & 10 & 12 & 0 & 0 & 0 & \\\hline \mathrm { x } _ { 2 } & 12 & 0 & 1 & - 2.5 & - .5 & 0 & 20 \\\mathrm { x } _ { 1 } & 10 & 1 & 0 & 4 & 1 & 0 & 0 \\\mathrm {~s} _ { 3 } & 0 & 0 & 0 & - 1.5 & - 5 & 1 & 20 \\\hline & \mathrm { z } _ { \mathrm { j } } & 10 & 12 & 10 & 4 & 0 & 240 \\& \mathrm { c } _ { \mathrm { j } } - \mathrm { z } _ { \mathrm { j } } & 0 & 0 & - 10 & - 4 & 0 &\end{array}$$
a.Find the range of optimality for c₁ and c₂.
b.Find the range of feasibility for b₁, b₂, and b₃.
c.Find the dual prices.

Identify the challenges women face in leadership due to societal expectations and gender norms.

Recognize the strategies women utilize to navigate gender-based barriers in leadership.

Comprehend the concept and implications of the leadership labyrinth for women.

Understand how gender influences perceptions and evaluations of leadership effectiveness.

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Definitions:

Cartel

A group of independent market participants who collude to increase prices and limit output in order to maximize their collective profits.

Marginal Cost

The hike in cost resulting from the creation of one more unit of a product or service.

Cartel

An agreement among competing firms to control prices or exclude entry of a new competitor in a market, often leading to higher prices and restricted supply.

Marginal Cost

The hike in overall financial outlay due to producing an extra unit of a product or service.