The firm "talbots & co." faces the following cost function

c(x) = 11.5x2 + 70

where c is the total production cost and x is the quantity produced.

the quantity they can sell depends on the price they charge: the lower the price, the more they will sell. equivalently, the price they can charge depends on the quantity they want to sell, giving rise to the following relation between price and quantity

p(x) = 1,000 - x

where p is the price that "talbots and co." charges for its product.

answer the following questions about this firm.

what is the profit-maximizing level of output for this firm?

what is the maximum profit that this firm can make?

Fanning company is considering the addition of a new product to its cosmetics line. the company has three distinctly different options: a skin cream, a bath oil, or a hair coloring gel. relevant information and budgeted annual income statements for each of the products follow. skin cream bath oil color gel budgeted sales in units (a) 110,000 190,000 70,000 expected sales price (b) $8 $4 $11 variable costs per unit (c) $2 $2 $7 income statements sales revenue (a × b) $880,000 $760,000 $770,000 variable costs (a × c) (220,000) (380,000) (490,000) contribution margin 660,000 380,000 280,000 fixed costs (432,000) (240,000) (76,000) net income $228,000 $140,000 $204,000 required: (a) determine the margin of safety as a percentage for each product. (b) prepare revised income statements for each product, assuming a 20 percent increase in the budgeted sales volume. (c) for each product, determine the percentage change in net income that results from the 20 percent increase in sales. (d) assuming that management is pessimistic and risk averse, which product should the company add to its cosmetics line? (e) assuming that management is optimistic and risk aggressive, which product should the company add to its cosmetics line?

David paid $975,000 for two beachfront lots in coastal south carolina, with the intention of building residential homes on each. two years later, the south carolina legislature passed the beachfront management act, barring any further development of the coast, including david's lots. when david files a complaint to seek compensation for his property, south carolina refuses, pointing to a passage in david's own complaint that states "the beachfront management act [was] properly and validly designed to south carolina's " is south carolina required to compensate david under the takings clause?

15. chef a insists that roux is the traditional thickener for bisque. chef b insists that it's rice. which chef is correct? a. neither chef is correct. b. both chefs are correct. c. chef b is correct. d. chef a is correct.