For what value of x is the elasticity of function y = x^2 -3 equal to 3? Consider only x > 0
y = x2 - 3
Elasticity of the function = dy/dx . x/y
Elasticity = 3 = 2x2/y
2x2 = 3x2 - 9
x = 3
For what value of x is the elasticity of function y = x^2 -3 equal to...
Consider the function y=ln(2)(-4x+3)(2^3x-2x^2) 1. What is the general expression of the elasticity in terms of x? 2. What value does the elasticity actually have when x=4?
Consider the function y = 23x-2x^2. a. what is the general expression of the elasticity in terms of x? b. what value does the elasticity actually have when x = 4?
What is the minimum value of the function f(x,y)= x^2+y^2 -y on the region where y greater or equal x^2 and y smaller or equal 1
-1, the Marshallian elasticity of Y with respect to Px must be equal to O at that optimum. 3. (5 pts.) Consider a consumer whose cost function is given by C(Px.P, U)(Px Py)JU2 T/F: "X is a normal good for this consumer." -1, the Marshallian elasticity of Y with respect to Px must be equal to O at that optimum. 3. (5 pts.) Consider a consumer whose cost function is given by C(Px.P, U)(Px Py)JU2 T/F: "X is a normal...
Prove that the elasticity of Y with respect to X is equal to-2 XY
2) Find the exact production elasticity of the production function Y= 10X - X^2, when X= 5.
Supposc X takes on values 0, 1, and 2 with equal probability and Y takes on value 3 with probability 1/4 and 4 with probability 3/4. If X and Y are independent, find the distributions of (a) X Y. Find fxiy if the marginal densities of X and Y are given by Supposc X takes on values 0, 1, and 2 with equal probability and Y takes on value 3 with probability 1/4 and 4 with probability 3/4. If X...
a) (3)) Consider two investments X and Y, where X pays $0 and $10 with equal probability and Y pays 0 with probability 0.75 and $20 with probability 0.25. What investment would an investor choose if her utility function is (0) (ii) (ii) u(x) = x2 u(x) = u(x) = 1-e * = X
Determine the value of such that the function f (x, y) = cxy for 0<x<3 and 0 <y<3 satisfies the properties of a joint probability density function. Determine the following. Round your answers to four decimal places (e.g. 98.7654). 1.0994 P&<2,Y<3) 7.4444 P(X<2.0) 21:1878 Pu<Y<1,7) 12489 P(X>1.8,1 <Y<2.5) 7:3733 EX) P(X < 0,8< 4)
Consider the bivariate function f(x.y) = (x + y)/3 for 0< x< 1 and 0<y< 2 and f(x.y) = 0 3. otherwise. (a) Show that f(xy) is a density function. (b) Find the probability that both X and Y are less than one. (c) Find the marginal densities of X and Y and show that they are not independent. (d) Find the conditional density of X given Y when Y = 0.5.