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Two Stores Are Located Side by Side and Attract Customers

question 38

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Two stores are located side by side and attract customers to each other and to themselves by advertising.Where x1 and x2 are the advertising expenditures of stores 1 and 2, the profits of the firms are (48 + x2) x1 - 2(x1) 2 for store 1 and (54 + x1) x2 - 2(x2) 2 for store 2.Knowing these functions, one investor buys both stores.In order to maximize his total profits, how much should he spend on advertising for store 1?


Definitions:

Risk-Free Rate

The expected yield from an investment that carries no risk of losing money, often shown through the interest rates of government securities.

Historical Data

Past information and records about an entity or market's performance, which are used for research, analysis, and planning.

Betas

A measure of the volatility, or systematic risk, of a security or portfolio in comparison to the market as a whole; it indicates how much the asset's price is expected to move relative to market movements.

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