Consider two stocks X and Y with the following expected returns (in percent) and standard deviations. How much of your $10,000 total investment should you invest in stock Y if you would like a portfolio with zero risk and the correlation between the two stocks is -1 (perfectly negatively correlated)?

Stock Expected return Standard deviation

X 10 75
Y 20 50

Beagle autos is known for its affordable and reliable brand of consumer vehicles. because its shareholders expect to see an improved rate of growth in the coming years, beagle's executives have decided to diversify the company's range of products so that at least 40 percent of the firm's revenue is generated by new business units. however, the company's resources, capabilities, and competencies are limited to producing other forms of motorized vehicles, such as motorcycles and all-terrain vehicles (atvs). which type of corporate diversification strategy should beagle pursue?