Homework 2/26/2020 Show proofs and work for each question 1. A venture capitalist wishes to invest 10K in four different stocks. Each investment must be made in units of 1K. How many different possible investment strategies does he have under each of the following scenarios: a) He can allocate $0 to one or more stocks, but he has to invest all money b) He can allocate $0 to one or more stocks, and is allowed to hold remaining money in a savings account c) He has to allocate some money to each account, and is not allowed to hold remaining money in a savings account.

The owners of backstreets italian restaurant are considering starting a delivery service forpizza and their other italian dishes in the small college town where they are located. theycan purchase a used delivery van and have it painted with their name and logo for $21,500.they can hire part-time drivers who will work in the evenings from 5 p. m. to 10 p. m. for$8 per hour. the drivers are mostly college students who study at the restaurant when theyare not making deliveries. during the day, there are so few deliveries that the regular employeescan handle them. the owners estimate that the van will last 5 years (365 days per year)before it has to be replaced and that each delivery will cost about $1.35 in gas and othermaintenance costs (including tires, oil, scheduled service, they also estimate that onaverage each delivery order will cost $15 for direct labor and ingredients to prepare andpackage, and will generate $34 in revenue. a. how many delivery orders must backstreets make each month in order for the service to break even? b. the owners believe that if they have approximately the break-even number of deliveries during the week, they will at least double that number on fridays, saturdays, and sundays. if that’s the case, how much profit will they make, at a minimum, from their delivery service each month (4 weeks per month)?

The returns on the common stock of maynard cosmetic specialties are quite cyclical. in a boom economy, the stock is expected to return 22 percent in comparison to 9 percent in a normal economy and a negative 14 percent in a recessionary period. the probability of a recession is 35 percent while the probability of a boom is 10 percent. what is the standard deviation of the returns on this stock?

Jose recently died with a probate estate of $900,000. he was predeceased by his wife, guadalupe, and his daughter, lucy. he has two surviving children, pete and fred. jose was also survived by eight grandchildren, pete’s three children, naomi, daniel, nick; fred’s three children, heather, chris and steve; and lucy’s two children, david and rachel. jose’s will states the following “i leave everything to my three children. if any of my children shall predecease me then i leave their share to their heirs, per stirpes.” which of the following statements is correct? (a) under jose’s will rachel will receive $150,000. (b) under jose’s will chris will receive $150,000. (c) under jose’s will nick will receive $100,000. (d) under jose’s will pete will receive $200,000.