LINGO Output Is Given for the Following Linear Programming Problem

question 46

Essay

LINGO output is given for the following linear programming problem.
MIN 12 X1 + 10 X2 + 9 X3
SUBJECT TO
2)5 X1 + 8 X2 + 5 X3 >= 60
3)8 X1 + 10 X2 + 5 X3 >= 80
END
LP OPTIMUM FOUND AT STEP 1
OBJECTIVE FUNCTION VALUE
1)80.000000 $$\begin{array} { c c c } \text { VARIABLE } & \text { VALUE } & \text { REDUCED COST } \\\text { X1 } & .000000 & 4.000000 \\\text { X2 } & 8.000000 & .000000 \\\text { X3 } & .000000 & 4.000000\end{array}$$ $\begin{array}{l}\begin{array}{c}ROW&\text{SLACK OR SURPLUS}&\text{DUAL PRICE}\\\hline2)&4.000000 & .000000 \\3)&.000000 & -1.000000\end{array}\end{array}$ NO.ITERATIONS= 1
RANGES IN WHICH THE BASIS IS UNCHANGED: $\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { OBJ. COEFFICIENT RANGES }$
$\begin{array}{crrr}\underline{\text { VARIABLE }}&\frac{\text { CURRENT }}{\text { COEFFICIENT }} & \frac{\text { ALLOWABLE }}{\text { INCREASE }} & \frac{\text { ALLOWABLE }}{\text { DECREASE }}\\X 1 & 12.000000 & \text { INFINITY } & 4.000000 \\X 2 & 10.000000 & 5.000000 & 10.000000 \\X 3 & 9.000000 & \text { INFINITY } & 4.000000\end{array}$ $$\begin{array}{l}\begin{array} { c c c c } &&&\text { RIGHTHAND SIDE RANGES }\\& \text { CURRENT } & \text { ALLOWABLE } && \text { ALLOWABLE } \\\hline\text { ROW } & \text { RHS } & \text { INCREASE } && \text { DECREASE } \\2 & 60.000000 & 4.000000 && \text { INFINITY } \\3 & 80.000000 & \text { INFINITY } && 5.000000\end{array}\end{array}$$
a.What is the solution to the problem?
b.Which constraints are binding?
c.Interpret the reduced cost for x₁.
d.Interpret the dual price for constraint 2.
e.What would happen if the cost of x₁ dropped to 10 and the cost of x₂ increased to 12?

Understand the concept and process of unionization, including certification and decertification.

Comprehend the roles and strategies of collective bargaining and the negotiation process in labor relations.

Recognize the various forms of strikes and their legal implications.

Identify strategies organizations employ to minimize unionization and manage labor relations.

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Definitions:

Nervous Tissue

A type of animal tissue specialized for transmitting electrical and chemical signals.

Dendrite

A branched projection of a neuron that receives signals from other neurons.

Glial Cell

Non-neuronal cells in the central nervous system and peripheral nervous system that support and maintain neurons.

Organ System

A group of organs in a living organism that work together to perform a specific function or set of functions.