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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:

Dividends In Arrears

Outstanding dividends on cumulative preference shares that have not been paid by the company in the time stipulated.

Common Stock

A type of security that represents ownership in a corporation, giving holders voting rights and entitlement to dividends.

Earnings Per Share

A company's net profit divided by the number of its outstanding shares, indicating the profitability on a per-share basis.

Par

This refers to the face value of a bond or stock as stated by the issuing company.

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