The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. here is a possible model: c(x, y) = 7,000 + 500x2 + 50y2 where x is the reduction in sulfur emissions, y is the reduction in lead emissions (in pounds of pollutant per day), and c is the daily cost to the firm (in dollars) of this reduction. government clean-air subsidies amount to $500 per pound of sulfur and $100 per pound of lead removed. how many pounds of pollutant should the firm remove each day in order to minimize net cost (cost minus subsidy)?

Capital financial corporation will lend 90 percent against account balances that have averaged 30 days or less; 80 percent for account balances between 31 and 40 days; and 70 percent for account balances between 41 and 45 days. customers that take over 45 days to pay their bills are not considered acceptable accounts for a loan. the current prime rate is 16.50 percent, and capital charges 3.50 percent over prime to charming as its annual loan rate. a. determine the maximum loan for which charming paper company could qualify.

Aproperty title search firm is contemplating using online software to increase its search productivity. currently an average of 40 minutes is needed to do a title search. the researcher cost is $2 per minute. clients are charged a fee of $400. company a's software would reduce the average search time by 10 minutes, at a cost of $3.50 per search. company b's software would reduce the average search time by 12 minutes at a cost of $3.60 per search. which option would have the higher productivity in terms of revenue per dollar of input?

Afirm wants to hire a project manager (pm) at a salary of $100,000. 30% of pms have high ability, and 70% of pms have low ability. high ability pms generate $120,000 in revenue and low ability pms generate $80,000 in revenue. in addition to differences in productivity, high and low ability pms have different outside offers. if a high ability pm is not hired by the firm, she can work for another company at a salary of $80,000. if the low ability pm is not hired by the firm, she can work for another company for $70,000. high ability pms are also able to get a project management professional (pmp) certification at a cost of $1,000. low ability pms are unable to get a pmp certification (they would fail the test). the firm is not able to observe a pm’s ability, but is able to observe and verify whether or not the pm has a pmp certificate.(a) draw the extensive form of the game.expert answer