In January 2014, the company Quicken Loans made news by announcing that it would pay $1 billion to the person who submitted the perfect NCAA bracket for the men's Division I tournament that year. The company bought an insurance policy from Warren Buffett's holding company Berkshire Hathaway to cover the cost of any prize money. Winning the $1 billion prize required a contestant to complete a bracket that predicted correctly the outcome of 63 games. Assume that everyone in the United States filled out many brackets and that all of the brackets produced in this way were different. (In fact, the contest was limited to 15 million entries altogether.) How many brackets would each person have to fill out to make sure that altogether all of the possible outcomes of the 63 games were represented? Use the fact that the population of the United States at this time was 317 million, and round your answer to the nearest billion. Note: You will need a calculator that can handle large numbers.

Laval produces lamps and home lighting fixtures. its most popular product is a brushed aluminum desk lamp. this lamp is made from components shaped in the fabricating department and assembled in the assembly department. information related to the 22,000 desk lamps produced annually follows.direct materials $280,000direct labor fabricating department (8,000 dlh × $24 per dlh) $192,000assembly department (16,600 dlh × $26 per dlh) $431,600machine hours fabricating department $15,200mhassembly department $20,850mhexpected overhead cost and related data for the two production departments follow.fabricating assemblydirect labor hours 150,000dlh 295,000dlhmachine hours 161,000mh 128,000mhoverhead cost $400,000 430,000required1. determine the plantwide overhead rate for laval using direct labor hours as a base.2. determine the total manufacturing cost per unit for the aluminum desk lamp using the plantwide overhead rate.3. compute departmental overhead rates based on machine hours in the fabricating department and direct labor hours in the assembly department.4. use departmental overhead rates from requirement 3 to determine the total manufacturing cost per unit for the aluminum desk lamps.

Horace society is planning its annual western fair raceway gala. the gala committee has assembled the following expected costs for the event: dinner (per person) $10 gaming token and program (per person) $2 prize payouts $4,300 tickets and advertising $800 private box suite rental $1,700 lottery licenses $200 the committee members would like to charge $40 per person for the evening’s activities.required: 1. what is the break-even point for the dinner-dance (in terms of the number of persons who must attend)? 2. assume that last year only 200 persons attended the dinner-dance. if the same number attend this year, what price per ticket must be charged in order to break even? 3. refer to the original data ($40 ticket price per person). prepare a cvp graph for the dinner- dance from zero tickets up to 600 tickets sold.

Three students were applying to the same graduate school. they came from schools with different grading systems. student gpa school average gpa school standard deviation thuy 2.9 3.2 0.8 vichet 83 75 20 kamala 8.6 8 0.4 which student had the best gpa when compared to other students at his school? explain how you determined your answer. (enter your standard deviation to two decimal places.) correct: your answer is correct. had the best gpa compared to other students at his school, since his gpa is 2.25 incorrect: your answer is incorrect. standard deviations correct: your answer is correct. his school's average gpa.