You are considering purchasing stock s. this stock has an expected return of 12 percent if the economy booms, 8 percent if the economy is normal, and 3 percent if the economy goes into a recessionary period. the overall expected rate of return on this stock will:

The school cafeteria can make pizza for approximately $0.30 a slice. the cost of kitchen use and cafeteria staff runs about $200 per day. the pizza den nearby will deliver whole pizzas for $9.00 each. the cafeteria staff cuts the pizza into eight slices and serves them in the usual cafeteria line. with no cooking duties, the staff can be reduced by half, for a fixed cost of $75 per day. should the school cafeteria make or buy its pizzas?

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?

Dominic is the founder of an innovative "impromptu catering" business that provides elegant, healthy party food and decorations on less than 24 hours' notice. the company has grown by over 150 percent in the past year. dominic credits some of the company's success to studying the strategies of prominent social entrepreneurs, such as wikipedia's jimmy wales. what can dominic do to exemplify the social entrepreneurship model?