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Given the Following Linear Program The Graphical Solution to the Problem Is Shown Below

question 60

Essay

Given the following linear program:
$\begin{array} { l r } \operatorname { Max } & 5 x _ { 1 } + 7 x _ { 2 } \\\text { s.t. }& x _ { 1 } \leq 6 \\ & 2 x _ { 1 } + 3 x _ { 2 } \leq 19 \\& x _ { 1 } + x _ { 2 } \leq 8 \\& x _ { 1 } , x _ { 2 } \geq 0\end{array}$
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 obj.func.= 46. $Given the following linear program: \begin{array} { l r } \operatorname { Max } & 5 x _ { 1 } + 7 x _ { 2 } \\ \text { s.t. }& x _ { 1 } \leq 6 \\ & 2 x _ { 1 } + 3 x _ { 2 } \leq 19 \\ & x _ { 1 } + x _ { 2 } \leq 8 \\ & x _ { 1 } , x _ { 2 } \geq 0 \end{array} The graphical solution to the problem is shown below.From the graph we see that the optimal solution occurs at x<sub>1</sub> = 5,x<sub>2</sub> = 3,and obj.func.= 46. a.Calculate the range of optimality for each objective function coefficient. b.Calculate the dual price for each resource.$
a.Calculate the range of optimality for each objective function coefficient.
b.Calculate the dual price for each resource.

Definitions:

Golgi Stacks

A structure within the cell composed of a series of flattened membrane sacs involved in the modification, sorting, and packaging of proteins.

Surface Area

The total area of the external surface of a three-dimensional object.

Spherical Shape

Pertains to objects or entities having the shape of a sphere, which is perfectly round in three dimensions.

Peroxisomes

Organelles found in virtually all eukaryotic cells that break down fatty acids and detoxify certain chemicals.