Solve the Following Problem Graphically

question 10

Essay

Solve the following problem graphically.
Max
5X + 6Y
s.t.
17X + 8Y ≤ 136
3X + 4Y ≤ 36
X, Y ≥ 0 and integer
​
a.Graph the constraints for this problem. Indicate all feasible solutions.
b.Find the optimal solution to the LP Relaxation. Round down to find a feasible integer solution. Is this solution optimal?
c.Find the optimal solution.

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Definitions:

Goodness-of-Fit Test

A statistical test used to determine how well observed data fit a specific distribution.

Contingency Table

A table often used in statistics to display the frequency distribution of variables to analyze the relationship between categorical variables.

Binomial Probability Function

A statistical distribution representing the probability of obtaining a fixed number of successful outcomes in a fixed number of trials in an experiment with two possible outcomes.

Rule of Five

An empirical rule suggesting that there's a 93.75% chance that a normal sample will fall within ±1.96 standard deviations of the mean.