You Have Been Given the Following Linear Programming Model and Excel

question 68

Essay

You have been given the following linear programming model and Excel spreadsheet to solve this problem.What numbers should be entered into cells B5:C5 and B8:C10 to implement this model?
MAX: ^{4 X}₁ ^{+ 3 X}₂
Subject to: ^{6 X}₁ ^{+ 7 X}₂ ^{≤ 84}
X₁ ≤ 10
X₂ ≤ 8 X₁,X₂ ≥ 0
$\begin{array}{|l|l|c|c|c|c|} \hline& \mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{D} & \mathrm{E} \\\hline 1 & & & & & \\\hline 2 & & & & & \\\hline 3 & & \mathrm{x}_{1} & \mathrm{x}_{2} & & \\\hline 4 & \text { Number to make: } & & & & \begin{array}{l}\text { OBJ. FN. } \\\text { VALUE }\end{array} \\\hline 5 & \text { Unit profit: } & & & & \\\hline 6 & & & & & \\\hline 7 & \text { Constraints: } & & & \text { Used } & \text { Available } \\\hline 8 & 1 & & & & \\\hline 9 & 2 & & & & 84 \\\hline 10 & 3 & & & & 10 \\\hline\end{array}$

Understand the concept of updating production technology and its potential impact on a company's cash flows.

Knowledge of evaluating investment decisions based on present value and discount rates.

Ability to calculate the net present value (NPV) of an investment.

Understand the importance of financing options and interest rates in making investment decisions.

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Definitions:

Habitat Reduction

The decrease in the size of natural environments that support wildlife, often due to human activities like deforestation, urbanization, and agriculture expansion.

Species Threat

A situation or condition that endangers the survival or well-being of a particular species, often due to human activities or environmental changes.

Water Pollution

The contamination of water bodies, such as lakes, rivers, oceans, and groundwater, caused by harmful substances directly or indirectly discharged into them, leading to adverse effects on aquatic life and human health.

Habitat Island

A patch of land, typically surrounded by a contrasting landscape, that serves as a refuge for species and maintains biodiversity.