Jacques lives in Chicago and runs a business that sells pianos. In an average year, he receives $701,000 from selling pianos. Of this sales revenue, he must pay the manufacturer a wholesale cost of $420,000; he also pays wages and utility bills totaling $247,000. He owns his showroom; if he chooses to rent it out, he will receive $9,000 in rent per year. Assume that the value of this showroom does not depreciate over the year. Also, if Jacques does not operate this piano business, he can work as a financial advisor, receive an annual salary of $32,000 with no additional monetary costs, and rent out his showroom at the $9,000 per year rate. No other costs are incurred in running this piano business. What are Raphael's explicit costs of selling pianos?
1) The salary Raphael could earn if he worked in an accounting firm.
2) The wages and utilty bills that Raphael pays.
3) The wholesale cost for pianos that Raphael pays the manufacturer.
4) The rental income Raphael could receive per year if he chose to rent his showroom out.

In a sumif conditional function, what should be the order of terms in the parentheses?

The market price of cheeseburgers in a college town increased recently, and the students in an economics class are debating the cause of the price increase. some students suggest that the price increased because the price of beef, an important ingredient for making cheeseburgers, has increased. other students attribute the increase in the price of cheeseburgers to a recent increase in college student enrollment.1. the first group of students thinks the increase in the price of cheeseburgers is due to the fact that the price of beef, an important ingredient for making cheeseburgers, has increased. (what happened to demand and supply, shift to the right or left)2. the second group of students attributes the increase in the price of cheeseburgers to the increase in college student enrollment. (what happens to demand and supply, shift to the right or left)3. suppose that both of the events you analyzed above are partly responsible for the increase in the price of cheeseburgers. based on your analysis of the explanations offered by the two groups of students, how would you figure out which of the possible causes was the dominant cause of the increase in the price of cheeseburgers? (choose a, b,c, or d)a)if the price increase was small, then the supply shift in the market for cheeseburgers must have been larger than the demand shift.b)if the equilibrium quantity of cheeseburgers decreases, then the demand shift in the market for cheeseburgers must have been larger than the supply shift.c)if the equilibrium quantity of cheeseburgers decreases, then the supply shift in the market for cheeseburgers must have been larger than the demand shift.d)whichever change occurred first must have been the primary cause of the change in the price of cheeseburgers.

You have $22,000 to invest in a stock portfolio. your choices are stock x with an expected return of 11 percent and stock y with an expected return of 13 percent. if your goal is to create a portfolio with an expected return of 11.74 percent, how much money will you invest in stock x? in stock y?