g Assets with random rates of return r1, r2 have expected rates ¯r1 = 1, ¯r2 = 2, variances σ1 2 = 1, σ2 2 = 3 and covariance σ1,2 = 1. Consider portfolios consisting of weights w1 = 1 − α and w2 = α of these assets. a) Find weights, expected rate of return ¯rMVP, and volatility σMVP for the minimum variance portfolio. b) Make a sketch in the σ, r¯ plane of the portfolio curve. Label the asset points (σ1, r¯1), (σ2, r¯2), the minimum variance point (σMVP, r¯MVP), and the efficient frontier. c) An individual with utility function U(y) = 16y−y 2 and with unit initial wealth constructs a portfolio consisting of fractions 1 − α and α of these assets. Find the maximum over α of the expected utility E[U(1 + rp(α))], where rp(α) is the portfolio rate of return. d) Calculate σp, ¯rp for the portfolio corresponding to the maximum expected utility, and show that this portfolio is efficient. g

The following costs were incurred in may: direct materials $ 44,800 direct labor $ 29,000 manufacturing overhead $ 29,300 selling expenses $ 26,800 administrative expenses $ 37,100 conversion costs during the month totaled:

The chromosome manufacturing company produces two products, x and y. the company president, jean mutation, is concerned about the fierce competition in the market for product x. she notes that competitors are selling x for a price well below chromosome's price of $13.50. at the same time, she notes that competitors are pricing product y almost twice as high as chromosome's price of $12.50.ms. mutation has obtained the following data for a recent time period: product x product y number of units 11,000 3,000 direct materials cost per unit $3.23 $3.09 direct labor cost per unit $2.22 $2.10 direct labor hours 10,000 3,500 machine hours 2,100 1,800 inspection hours 80 100 purchase orders 10 30ms. mutation has learned that overhead costs are assigned to products on the basis of direct labor hours. the overhead costs for this time period consisted of the following items: overhead cost item amount inspection costs $16,200 purchasing costs 8,000 machine costs 49,000 total $73,200using direct labor hours to allocate overhead costs determine the gross margin per unit for product x. choose the best answer from the list below. a. $1.93b. $3.12c. $7.38d. $2.43e. $1.73using activity-based costing for overhead allocation, determine the gross margin per unit for product y. choose best answer from list below. a. $10.07b. ($2.27)c. ($5.23)d. ($7.02)e. $7.02

Sally mitchell works as a manager at an environmental organization. she is currently working on a global warming project and decides which tasks related to creating awareness about the issue need to be done. in addition, she is also deciding which members of her team will work on engaging with the public and which will work on lobbying with the government. she is also assigning people as team members to ensure that tasks are undertaken on time. which of the following categories of functions is mitchell undertaking? envisioning organizing controlling planning