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
$\begin{array}{|l|l|c|c|c|c|} \hline& \mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{D} & \mathrm{E} \\\hline 1 & & & & & \\\hline 2 & & & & & \\\hline 3 & & \mathrm{x}_{1} & \mathrm{x}_{2} & & \\\hline 4 & \text { Number to make: } & & & & \begin{array}{l}\text { OBJ. FN. } \\\text { VALUE }\end{array} \\\hline 5 & \text { Unit profit: } & & & & \\\hline 6 & & & & & \\\hline 7 & \text { Constraints: } & & & \text { Used } & \text { Available } \\\hline 8 & 1 & & & & \\\hline 9 & 2 & & & & 84 \\\hline 10 & 3 & & & & 10 \\\hline\end{array}$

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Definitions:

Operant Conditioning

A method of learning that employs rewards and punishments for behavior, which are used to either increase or decrease the likelihood of a behavior repeating.

Classical Conditioning

A training technique characterized by the recurrent pairing of two cues, leading to an outcome where the first cue alone can elicit a response initially caused by the second cue.

Generalization

The process in psychology of applying learned behavior and responses to similar stimuli that were not part of the original learning.

Secondary Reinforcement

A form of reinforcement where a stimulus gains its reinforcing power through its association with a primary reinforcer.