A) Suppose U=X∙Y3. Find X* and Y*.
B) Suppose U=X3∙Y. Find X* and Y*.
C) Suppose U=X3∙Y2. Find X* and Y*.
D) Suppose U=X∙Y5. Find X* and Y*.
A) Suppose U=X∙Y3. Find X* and Y*. B) Suppose U=X3∙Y. Find X* and Y*. C) Suppose...
3) Let (x, y), (X2, y2), and (X3. Y3) be three points in R2 with X1 < x2 < X3. Suppose that y = ax + by + c is a parabola passing through the three points (x1, yı), (x2, y), and (x3, Y3). We have that a, b, and c must satisfy i = ax + bx + C V2 = ax + bx2 + c y3 = ax} + bx3 + c Let D = x X2 1....
determine whether or not the equations represent y as a function of x y=x3-X X2-Y2=1 X3+Y3=4
A) Suppose U = min[X, 3Y] and I=12, Px=1 and Py=5. Find X* and Y*. B) Draw an indifference curve and a normal linear budget constraint such that there is a tangency point (where MRS= price ratio) that is not the optimal bundle. C) Suppose U=X∙Y5. Find X* and Y*. D) Suppose U = 5∙X + 2∙Y and I=12, Px=2 and Py=1. Find X* and Y*.
Problem 4.12 & Problem 4.14 ?
4.12 Suppose y is N4(u, 2), where 8 9 -3 6 3-3 23 μ= PROBLEMS 107 (a) Find the distribution ofz-: 4y1-2y2 + y3-3y4 (b) Find the joint distribution of zy y2y3y4 and z22yi + (c) Find the joint distribution of zı = 3y1 +N2-4y3-N4, z2--yı-3y2+ (d) What is the distribution of y3? (e) What is the joint distribution of y2 and y4? (f) Find the joint distribution of yi, 1(yi + y2), yit...
Find the equation of tangent at (3, 3) to the curve x3 + y3 - 6xy = 0 Select one: a. y = -x - 6 b. y = -x + 6 c. None of these answers d. y = x + 6 e. y = x - 6
A) Suppose U = min[X, 3Y] and I=12, Px=1 and Py=5. Find X* and Y*. B) Draw an indifference curve and a normal linear budget constraint such that there is a tangency point (where MRS= price ratio) that is not the optimal bundle. C) Suppose U=X∙Y5. Find X* and Y*. D) Suppose U = 5∙X + 2∙Y and I=12, Px=2 and Py=1. Find X* and Y*.
Find Vf at the given point. f(x,y,z) = x3 + y3 – 322 + z Inx, (1,5,5) Vf|(1,5,5) = Di+(\)j + ()k (Simplify your answers.)
16. xyty Let f(x, y) = x3 + xy + y}, g(x, y) = x3 a. Show that there is a unique point P= (a,b) on 9(x,y) = 1 where fp = 1V9p for some scalar 1. b. Refer to Figure 13 to determine whether $ (P) is a local minimum or a local maximum of f subject to the constraint. c. Does Figure 13 suggest that f(P) is a global extremum subject to the constraint? 2 0 -3 -2...
Consider two independent random samples, X1, X2, X3, X1 and Y1, Y , Y3, 74, Y5, Y, each from the same population having unknown mean and unknown variance ,2. Consider the set of estimators for p given by S{A} = {ña :fla = (1 - a) X+ay, for 0 <a<1}. What is the value of a, denoted by a*, such that file has the lowest mean square error of all available estimators in S{n} ? Answer:
iii. If the vertices of a triangle, in counterclockwise order are (x1.yı), (X2,Y2) and (x3 ,Y3), Show that the area of the triangle is A= }((x, y, – x, y;)+(x,y; – x, y,)+(x; y; – x, y,)). [5%) iv. Use Part iii to find the area of the triangle with vertices (0,0); (2,0) and (0,2), then, check the result geometrically. [5%)