1 If $x is invested in mutual fund A, the annual return has an expectation of $0.1x and a standard deviation of $0.02x. If $x is invested in mutual fund B, the annual return has an expectation of $0.1x and a standard deviation of $0.03x. Suppose that the returns on the two funds are independent of each other and that I have $1000 to invest. (a) What are the expectation and variance of my annual return if I invest all my money in fund A? (b) What are the expectation and variance of my annual return if I invest all my money in fund B? (c) What are the expectation and variance of my total annual return if I invest half of my money in fund A and half in fund B?

Apharmaceutical packaging company (ppc) has decided to reorganize its processes into cells. the company has four different production operations, each requiring a unique piece of equipment. the names and functions of the four pieces of equipment are sort, count, place, and package. the company packages five different families of products (a, b, c, d, and e). the tables below indicate the demand (total units/day by product family), required operations, and operation cycle times for each product family. assume that any individual piece of equipment is available to operate 16 hours/day, but 2 hours (in total) are lost each day on each piece of equipment due to breaks and meetings when operators are not available to operate the equipment. how many minutes/day are available for production

Jaynet spends $50,000 per year on painting supplies and storage space. she recently received two job offers from a famous marketing firm – one offer was for $95,000 per year, and the other was for $120,000. however, she turned both jobs down to continue a painting career. if jaynet sells 35 paintings per year at a price of $6,000 each: a. what are her accounting profits? b. what are her economic profits?

Consumers who participate in the sharing economy seem willing to interact with total strangers. despite safety and privacy concerns, what do you think is the long-term outlook for this change in the way we think about interacting with people whom we don't know? how can businesses to diminish worries some people may have about these practices?