Given the Following Linear Program:
the Graphical Solution to the Problem

question 34

Essay

Given the following linear program:
The graphical solution to the problem is shown below.From the graph we see that the optimal solution occurs at x₁ = 5,x₂ = 3,and z = 46.
$\mathrm{M} A X \quad 5 X_{1}+7 X_{2}$

s.t
$\begin{aligned} x 1 & \leq 6 \\ 2 x_{1}+3 x_{2} & \leq 19 \\ x_{1}+x_{2} & \leq 8 \\ x_{1}, x_{2} & \geq 0 \end{aligned}$
a.Calculate the range of optimality for each objective function coefficient.
b.Calculate the dual price for each resource.

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Definitions:

Sperm Cell

The male reproductive cell, which can fertilize an egg cell to initiate the development of a new organism.

Genetic Material

Molecules within living cells that carry genetic information, primarily DNA or RNA, which guide the development, functioning, and reproduction of organisms.

Monozygotic (MZ) Twins

Twins that derive from a single zygote that has split into two; identical twins. Each MZ twin carries the same genetic code.

Dizygotic (DZ) Twins

Twins that derive from two zygotes; fraternal twins.