Shown Below Is the Solution to the Linear Program for Finding

question 21

Essay

Shown below is the solution to the linear program for finding Player A's optimal mixed strategy in a two-person, zero-sum game. $\text { OBJECTIVE FUNCTION VALUE }=3.500$
$\begin{array}{ccc}\text { VARIABLE } & \text { VALUE } & \text { REDUCED COSTS } \\\text { PA1 } & 0.050 & 0.000 \\\text { PA2 } & 0.600 & 0.000 \\\text { PA3 } & 0350 & 0.000 \\\text { GAINA } & 3.500 & 0.000\end{array}$

$\begin{array}{ccc}\text { CONSTRAINT } & \text { SLACK/SURPLUS } & \text { DUAL PRICES } \\\hline 1 & 0.000 & -0.500 \\2 & 0.000 & -0.500 \\3 & 0.000 & 0.000 \\4 & 0.000 & 3.500\end{array}$
a.What is Player A's optimal mixed strategy?
b.What is Player B's optimal mixed strategy?
c.What is Player A's expected gain?
d.What is Player B's expected loss?

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Definitions:

Lac Operon

A gene regulatory system found in bacteria and some other organisms that regulates the metabolism of lactose, involving an operon required for the transport and metabolism of lactose.

Cap

In molecular biology, a specially modified nucleotide on the 5’ end of eukaryotic mRNA, important for RNA stability and the initiation of translation.

Operons

Groups of genes in prokaryotes that are transcribed together and regulated by a single promoter and operator sequence, enabling coordinated expression of genes with related functions.

Bacteria

Single-celled microorganisms that come in various shapes and are found everywhere; they can be beneficial, neutral, or harmful to other organisms.