Suppose we now care about the long run decisions of a firm that has a production function of the form q = 4l^1/2 + k

suppose w = 1 and r = 0.5

assume that, at the beginning when w0 = 1 and r = 0.5, the firm chose to produce q0 = 20 units of output. then, the wage increased to w1 = 2 and in consequence the firm chose to produce q1 = 10 units of output.

(a) calculate the optimal choices of labor and capital after the wage change.

(b) draw the old and new isocosts lines

(c) calculate the scale effect

(d) calculate the substitution effect

(e) calculate the elasticity of substitution

What is product differentiation, and how can it be achieved ? what is product positioning? what conditions would head to head product positioning be appropriate?

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

Prepare beneish corporation's income statement and statement of stockholders' equity for year-end december 31, and its balance sheet as of december 31. there were no stock issuances or repurchases during the year. (do not use negative signs with your answers unless otherwise noted.)