• Consider a production function f(21,22) = min{21,22}: - When I1 < 12, please calculate the...
Please show all your work step by step 1. Suppose the production function is Cobb-Douglas and f(x1,22) = x122. (a) Write an expression for the marginal product of xy at the point (21,22). (b) Holding a fixed, for small increases in 31, will the marginal product of increase, decrease or remain constant? (c) What's the marginal product of factor 2? Will it increase, remain constant or decrease for small increases in x2? (d) Does an increase in the amount of...
Exercise 1. Please use the simplex method to solve the below LP min z=3.r - 12 s.t. 21; +12<8 21 +225 21 - 22 S4 21,220 a) Write the LP in standard form. b) Provide tableaus, BV, NBV, solution, objective value for each iteration of the simplex method. (Hint: the optimal value z=-5).
Exercise 1. Please use the simplex method to solve the below LP min z=3.r - 12 s.t. 21; +12<8 21 +225 21 - 22 S4 21,220 a) Write the LP in standard form. b) Provide tableaus, BV, NBV, solution, objective value for each iteration of the simplex method. (Hint: the optimal value z=-5).
(1 point) Consider the function f(x) = -22% + 36x? - 162x + 10. This function has two critical numbers A <B: А 3 and B 9 f"(A) 36 f"(B) = -36 Thus f(x) has a local -206 and a local 10 at A (type in MAX or MIN) at B (type in MAX or MIN).
1. Suppose the production function is Cobb-Douglas and f(11,12) = 21222 (a) Write an expression for the marginal product of 21 at the point (21,12). (b) Holding 22 fixed, for small increases in I, will the marginal product of 2 increase, decrease or remain constant? (c) What's the marginal product of factor 2? Will it increase, remain constant or decrease for small increases in ra? (d) Does an increase in the amount of 22 increase, leave unchanged or decrease the...
We consider an even and periodic function of period p = 6 defined by: Calculate f (17.75). Justify your answer. f(x) = 2 + e-*, pour 0 < x < 3.
Question 1 Consider a function f (2) with domain 3 << 7 and range -3 < f (x) < 9 a) Find the domain and range of g (x) = f (5x). Domain: <3< Range: 59(2) b) Find the domain and range of -h (2) + 7. Domain: sos Range: <9() <
0 x/8 x <0 0 11, Find the mean when F(x) = x < 2
Consider a firm with the following production function y = min{5xų,50x2} For the whole exercise let the price of input 1 be $10 and the price of input 2 be $50. a) Show that the production function has decreasing returns to scale. (4 points) b) Obtain the cost function. (6 points) C) Plot in the same graph the marginal cost and the average cost (4 points) d) Solve the profit maximization problem and calculate the profits of the firm when...
Consider a firm with the following production function y = min{5xų,50x2} For the whole exercise let the price of input 1 be $10 and the price of input 2 be $50. a) Show that the production function has decreasing returns to scale. (4 points) b) Obtain the cost function. (6 points) C) Plot in the same graph the marginal cost and the average cost (4 points) d) Solve the profit maximization problem and calculate the profits of the firm when...