You desire a portfolio beta of 1.1. Currently, your portfolio consists of $100 invested in Stock A with a beta of 1.4 and $300 in Stock B with a beta of .6. You have another $400 to invest and want to divide it between Stock C with a beta of 1.6 and a risk-free asset. How much should you invest in the risk-free asset to obtain your desired beta?
a. $125
b. $50
c. $100
d. $300
e. $350