g Maria received a $10 million inheritance from an uncle. Maria has a major in finance and is quite familiar with investing. She decided to invest a quarter of the money she received from her uncle in the following: Investment type Annual rate of return Municipal bonds 8% Mortgage securities 11% Emerging market equities 10% Small-cap private companies 9% Technology stocks 7% Maria went to her uncle's wealth management consultant and gave him the following restrictions: Emerging market equities plus mortgage securities may not exceed the funds invested in municipal bonds. Small-cap private companies plus emerging market equities may not exceed technology stocks. Mortage securities may not exceed 12% of the funds invested in all investment types, except for municipal bonds. Municipal bonds may not exceed 30% of the total funds but must comprise at least 5% of the total. Using Linear Programming, the optimal return per year is $

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

Archangel manufacturing calculated a predetermined overhead allocation rate at the beginning of the year based on a percentage of direct labor costs. the production details for the year are given below. calculate the manufacturing overhead allocation rate for the year based on the above data. (round your final answer to two decimal places.) a) 42.42% b) 257.14% c) 235.71% d) 1, 206.90% archangel production details.

Mark knopf is an auditor who has been asked to provide an audit and financial statement certification for a company that is going public on the new york stock exchange. knopf wants to know his personal liability if the company provides him with inaccurate or false information. which of the following sources of law will him answer that question? a. the city ordinances where the company headquarters is located. b. the state constitution of the state where the company is incorporated. c. code of federal regulations. d. all of the above