An individual has $50,000 invested in a stock with a beta of 0.4 and another $60,000 invested in a stock with a beta of 1.1. If these are the only two investments in her portfolio, what is her portfolio's beta? Round your answer to two decimal places.

Given : Investment in stock A = $50,000

            Beta of stock A = 0.4

            Investment in stock B = $60,000

            Beta of stock B = 1.1

To Find: Portfolio Beta

Solution: Beta of a security may be defined as degree of responsiveness of security return with respect to the market return. Beta of a portfolio is the weighted average beta of the securities comprising such a portfolio.

Total investment in portfolio = $50,000 + $60,000 = $110,000

Weightage of security A in portfolio, i.e  = = 0.4545

Weightage of security B in the portfolio, i.e = = 0.5455

Beta of porfolio = Beta of A × + Beta of B ×

                          = 0.4 × 0.4545 + 1.1 × 0.5455

                          = 0.7818

Hence, the portfolio beta is 0.78 approx.

answer: marginal utility of the fourth brownie is 0.

explanation: marginal utility is the addtional utility gained from the consumption of one more unit of a good. it is given by,

so, marginal utility at the 4th unit will be given by

since, the values are not given here, you can simply find marginal utility at fourth unit by subtracting total utility at 3rd unit from total utility at 4th unit.