When a 10k race has a higher purse and a steeper payout structure between rank order finishes:

a.
runners' times will be the same

b.
runners's times will be slower

c.
runners' times will be faster

d.
runners' will not participate in the race compared to other races

Suppose a ceiling fan manufacturer has the total cost function c(x) = 48x + 1485 and the total revenue function r(x) = 75x. (a) what is the equation of the profit function p(x) for this commodity? p(x) = (b) what is the profit on 35 units? p(35) = interpret your result. the total costs are less than the revenue. the total costs are more than the revenue. the total costs are exactly the same as the revenue. (c) how many fans must be sold to avoid losing money? fans

(05.04 mc) a 2012 report from the u. s. surgeon general stated: "another common practice is strategically locating tobacco-related marketing materials where young children will be exposed to them. tobacco industry executives acknowledge that products and advertising should be placed at eye level (pollay 2007), but in california, 48% of stores had at least one cigarette marketing item at or below 3 feet from the floor (feighery et al. 2001)." it was also noted that 25% of cigarette displays were next to candy. in addition, a national study found that about one-third of the stores had tobacco ads at low heights. after california banned counter displays, some stores place cigarettes in transparent displays so product brands could still be seen. why did some stores use transparent units to display the cigarettes? (3 points) to comply with the new rules while still encouraging cigarette purchases via visual exposure to ensure children and minors are not exposed to cigarettes and their eye-catching packaging to minimize exposure to humidity, extending the shelf life of the cigarettes' tobacco to reduce the occurrence of shoplifting, since cigarettes are high-revenue items

Consider the following information on stocks a, b, c and their returns (in decimals) in each state: state prob. of state a b c boom 20% 0.27 0.22 0.16 good 45% 0.16 0.09 0.07 poor 25% 0.03 0 0.03 bust 10% -0.08 -0.04 -0.02 if your portfolio is invested 25% in a, 40% in b, and 35% in c, what is the standard deviation of the portfolio in percent? answer to two decimals, carry intermediate calcs. to at least four decimals.