If X Dollars Is Invested in a Company That Controls $0.3 x$

question 93

Multiple Choice

If x dollars is invested in a company that controls, say, 30 percent of the market with 5 brand-names, then $0.3 x$ is a measure of market exposure and $5 x$ is a measure of brand-name exposure. Now suppose you are a broker at a large securities firm, and one of your clients would like to invest up to $100,000 in recording industry stocks. You decide to recommend a combination of stocks in four of the world's largest companies: Warner Music, Universal Music, Sony, and EMI. $$\begin{array} { | c | c | c | c | c | } \hline & \text { Warner Music } & \text { Universal Music } & \text { Sony } & \text { EMI } \\\hline \text { Market Share } & 12 \% & 20 \% & 20 \% & 15 \% \\\hline \begin{array} { c } \text { Number of } \\\text { brand-names }\end{array} & 8 & 20 & 10 & 15 \\\hline\end{array}$$
You wanted your client to maximize his total market exposure but limit his brand-name exposure to 2 million or less (representing an average of 20 labels or fewer per company) , and still invest at least 20 percent of the total in Universal. How much should you advise your client to invest in each company

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Definitions:

Lateral Line Organs

Sensory organs found in aquatic vertebrates, used to detect movements and vibrations in the surrounding water.

Proprioceptors

Sensory receptors found in muscles and tendons that provide information about body position and movement.

Muscle Spindles

Proprioceptors that detect muscle movement.

Golgi Tendon Organs

Sensory receptors located at the junctions of muscles and tendons that monitor tension in the muscles.