8 : Alberta has a total of $ 200,000 to invest in three types of mutual funds: growth, balanced, and income funds. Growth funds have a rate of return of 12% per year, balanced funds have a rate of return of 10% per year, and income funds have a return of 6% per year. The growth, balanced, and income funds are assigned risk factors of 0.1, 0.06, and 0.02, respectively. Alberta has decided that at least 50% of her total portfolio is to be in income funds and at least 10% in balanced funds. She has also decided that the average risk factor for her investment should not exceed 0.05. How should Alberta allocate her funds so as to maximize the return on her investment? (Hint: the constraint for the average risk factor for the investment is given by 0.1x+0.06y+0.02z≤0.05(x+y+z) 0.1 x + 0.06 y + 0.02 z ≤ 0.05 ( x + y + z ) .) growth balanced income $ 50000.0 $ 50000.0 $ 100000.0

Which maxim is being neglected in the following conversation? eli: how did you do at the track meet? caleb: i came in second place! eli: congratulations! what was your time? caleb: six minutes, four seconds. the guy who won only beat me by three seconds. eli: really? katie said the winning time was under 6 minutes. caleb: oh, well, he might have beat me by five seconds. a)maxim of quantity b)maxim of quality c)maxim of relevance d)maxim of manner

You were able to purchase two tickets to an upcoming concert for $100 apiece when the concert was first announced three months ago. recently, you saw that stubhub was listing similar seats for $225 apiece. what does it cost you to attend the concert?

University hero is considering expanding operations beyond its healthy sandwiches. jim axelrod, vice president of marketing, would like to add a line of smoothies with a similar health emphasis. each smoothie would include two free health supplements such as vitamins, antioxidants, and protein. jim believes smoothie sales should fill the slow mid-afternoon period. adding the line of smoothies would require purchasing additional freezer space, machinery, and equipment. jim provides the following projections of net sales, net income, and average total assets in support of his proposal. sandwichesonly sandwiches and smoothies net sales $ 750,000 $ 1,350,000 net income 120,000 210,000 average total assets 350,000 750,000 return on assetschoose numerator ÷ choose denominator = return on assets÷ = return on assets÷ = profit margin÷ = profit margin÷ = asset turnover÷ = asset turnover÷ = times