The $10.00 million mutual fund Henry manages has a beta of 1.05 and a 9.50% required return. The risk-free rate is 4.20%. Henry now receives another $5.00 million, which he invests in stocks with an average beta of 0.65. What is the required rate of return on the new portfolio

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

Grant, inc., acquired 30% of south co.’s voting stock for $200,000 on january 2, year 1, and did not elect the fair value option. the price equaled the carrying amount and the fair value of the interest purchased in south’s net assets. grant’s 30% interest in south gave grant the ability to exercise significant influence over south’s operating and financial policies. during year 1, south earned $80,000 and paid dividends of $50,000. south reported earnings of $100,000 for the 6 months ended june 30, year 2, and $200,000 for the year ended december 31, year 2. on july 1, year 2, grant sold half of its stock in south for $150,000 cash. south paid dividends of $60,000 on october 1, year 2. before income taxes, what amount should grant include in its year 1 income statement as a result of the investment?

Problem page a medical equipment industry manufactures x-ray machines. the unit cost c (the cost in dollars to make each x-ray machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function =cx+−0.3x2126x31,935 . how many machines must be made to minimize the unit cost?