Use Lagrange Multipliers to solve the problem. Find the maximum value of 
subject to 
.
Definitions:
Price-Earnings Ratio
A financial indicator that evaluates the relationship between a company’s current stock price and its earnings per share.
Market Price
The current price at which an asset or service can be bought or sold in a market.
Dividend Payout Ratio
The proportion of earnings paid out as dividends to shareholders, expressed as a percentage of the company's net income.
Dividends
Payments made by a corporation to its shareholder members, typically out of the company's profits.
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