Consider the Following Linear Program

question 2

Essay

Consider the following linear program:
Max
60X + 43Y
s.t.
X + 3Y ≥ 9
6X − 2Y = 12
X + 2Y ≤ 10
X, Y ≥ 0
​
a.
Write the problem in standard form.
b.
What is the feasible region for the problem?
c.
Show that regardless of the values of the actual objective function coefficients, the optimal solution will occur at one of two points. Solve for these points and then determine which one maximizes the current objective function.

Understand the concept and calculation of standard deviation and standard error in statistics.

Identify and differentiate between various sampling methods including probability and non-probability sampling.

Calculate probabilities for binomial distributions and understand sampling distributions.

Recognize the characteristics and errors related to sampling methods.

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Definitions:

Kitty Genovese Case

A murder case that became famous for purportedly demonstrating bystander apathy, leading to research on the "bystander effect."

Social Loafing

The phenomenon where individuals exert less effort to achieve a goal when they work in a group than when they work alone.

Group Polarization

The tendency for group members' opinions to become more extreme (either stronger or weaker) after group discussions.

Bystander Effect

A social psychological phenomenon in which individuals are less likely to offer help to a victim when other people are present.