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)= 4000+100x^2+50y^2

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?

He taylor company sells music systems. each music system costs the company $100 and will be sold to the public for $250. in year one, the company sells 100 gift cards to customers for $250 each ($25,000 in total). these cards are valid for just one year, and company officials expect them to all be redeemed. in year two, only 96 of the cards are returned. what amount of net income does the company report for year two in connection with these cards? a. $15,000b. $15,400c. $15,500d. $15,800

Greenway industries is a major multinational conglomerate. its business units compete in a range of industries, including home appliances, pharmaceuticals, commercial real estate, and plastics manufacturing. although its largest business unit, which produces kitchen appliances, is among the most profitable in the industry, it generates only 35 percent of the company's revenues. which of the following is most likely true of greenway's stock price? a. it is valued at less than the sum of its individual business units. b. it is valued at greater than the sum of individual business units. c. it is valued at the exact sum of individual business units. d. it is consistently lower than the industry average. it is valued at greater than the sum of individual business units.

Shelby bought her dream car, a 1966 red convertible mustang, with a loan from her credit union. if shelby paid 5.1% and the bank earned a real rate of return of 3.5%, what was the inflation rate over the life of the loan?