Acollege student owns two securities: apple and coca- cola. apple has an expected return of 15 percent with a standard deviation of those returns being 11 percent. coca-cola has an expected return of 12 percent, and a standard deviation of 7 percent. the correlation of returns between apple and coca-cola is 0.81. if the portfolio consist of $6,000 in coca-cola and $4,000 in apple, what is the expected standard deviation of portfolio returns? hint: check the calculation of standard deviation for a portfolio of two stocks.

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Suppose jamal purchases a pair of running shoes online for $60. if his state has a sales tax on clothing of 6 percent, how much is he required to pay in state sales tax?

Aproject currently generates sales of $14 million, variable costs equal 50% of sales, and fixed costs are $2.8 million. the firm’s tax rate is 40%. assume all sales and expenses are cash items. (a). what are the effects on cash flow, if sales increase from $14 million to $15.4 million? (input the amount as positive value. enter your answer in dollars not in (b) what are the effects on cash flow, if variable costs increase to 60% of sales? (input the amount as positive value. enter your answers in dollars not in millions). cash flow (increase or decrease) by $