A firm has production function y = f(x1, x2) = x 1^1/3 x 2 ^2/3 , where y is the amount of output, x1, x2 are the amount of input 1 and 2 respectively. (a) Suppose the firms chooses to produce with inputs x1^0 , x2^0 . Calculate the marginal product with respect to input 1 and input 2. (Express them in terms of x1^0 , x2^0 .)
(b) What’s the firm’s technical rate of substitution given input level x1^0 , x2^0 ?
(c) Suppose the prices for input 1 and input 2 are are respectively w1 = 8, w2 = 2. The market price for the output is p = 50. In order to produce a fixed level of output y 0 = 8, what’s the optimal amount of each input that the firm chooses to use for production?

Why does the united states government provide tax breaks related to the amount of money companies spend on research and development? a. to provide incentives for companies to conduct research and development to allow antitrust authorities b. to challenge joint research efforts c. to protect the right of inventors d. to produce and sell their inventions e. to involve less government scrutiny than a government funded project

Aprofessional does specialized work that's primarily: degree based. medical or legal. well paying. intellectual and creative

Mae jong corp. issues $1,000,000 of 10% bonds payable which may be converted into 10,000 shares of $2 par value ordinary shares. the market rate of interest on similar bonds is 12%. interest is payable annually on december 31, and the bonds were issued for total proceeds of $1,000,000. in accounting for these bonds, mae jong corp. will: (a) first assign a value to the equity component, then determine the liability component. (b) assign no value to the equity component since the conversion privilege is not separable from the bond.(c) first assign a value to the liability component based on the face amount of the bond.(d) use the “with-and-without” method to value the compound instrument.