Use This Graph to Answer the Questions

question 43

Essay

Use this graph to answer the questions. Max
20X + 10Y
s.t.
12X + 15Y ≤ 180
15X + 10Y ≤ 150
3X − 8Y ≤ 0
X , Y ≥ 0
​
a.Which area (I, II, III, IV, or V) forms the feasible region?
b.Which point (A, B, C, D, or E) is optimal?
c.Which constraints are binding?
d.Which slack variables are zero?

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Definitions:

Given Population

This term pertains to a specific group of individuals, items, or data points that are the focus of a statistical analysis.

Inferential Statistics

The branch of statistics focused on making predictions or inferences about a population based on a sample of data drawn from that population.

Standard Error

A measure that describes the dispersion or variance of sampling distribution of a statistic, most commonly the mean, indicating the precision of an estimate.

Sample Size

The number of observations or entities included in a statistical sample, impacting the study's precision and results.