Let u(x1, x2) be a regular definite bend-down function (DKAB-RSQC). If μ(x1,x2) = ψ(u(x1,x2)) and dψ/du>0, prove that μ(x1,x2) is also a regular definite downward bending function using the appropriate determinant conditions.
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3. Let u(x1, x2) be a regular definite bend-down function (DKAB-RSQC). If μ(x1,x2) = ψ(u(x1,x2)) and dψ/du>0, prove that μ(x1,x2) is also a regular definite downward bending function using the appropriate determinant conditions.
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- Please give me correct answer with full explanation; otherwise, i give multiple downvote.Explain how omitted variable bias can be summarized mathematically by using a formula?You are the manager of a firm and you are required to optimize the Cobb-Douglas function given the following parameters. The maximum amount of money available to spend is $340 where the price of K=8 and the price of L=4. That is Pk=8 and Pl=4. The function is given as q=K0.4L0.6 . What is the Lagrangian? a. None of the above b. K0.4L0.6−λ(340−8K−4L) c. K0.4L0.6+λ(340−8K−4L) d. K0.4L0.6+λ(340+8K+4L)
- Please use the first derivative for part (b), not the second derivative. Please ensure to explain why Q = 6.5 is profit maximised.Consider the following Cobb-Douglas production function. Q=10 K1/2L1/2a. Find the first, second, and cross partial derivatives. b. Determine their signs.c. What is the economic interpretation of the signs of these derivatives?Consider the following Cobb-Douglas production function.Q=10 K1/2L1/2a. Find the first, second, and cross partial derivatives.b. Determine their signs.c. What is the economic interpretation of the signs of these derivatives?
- Please give me correct answer with full explanation and calculation; otherwise, i give downvoteAnalysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is y = 44t + 0.5t2 − t3, 0 ≤ t ≤ 6. (a) Find the critical values of this function. (Assume −∞ < t < ∞. Enter your answers as a comma-separated list.) t = (b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.) t = (c) For which values of t, for 0 ≤ t ≤ 6, is y increasing? (Enter your answer using interval notation.)Please give me correct answer with calculation and full explanation; otherwise, i give downvote
- This question illustrates the argument on p.114 of the book. A and B own neighboring properties. Beneath their properties is a common well that contains 200 units of oil. The cost to A of extracting oil from the well in period t depends on the number of units of oil in the well at the beginning of the period t, ut, and the number of units of oil A extracts in period t, xAt ; specifically, the average cost of extraction for A per unit in period t is xAt /ut. The analogous cost function for B is xBt/ut. The market price of a barrel of oil is 1, there are two periods (t = 1, 2), and the discount rate is zero. The oil is a common property resource. a) (2) Suppose that A and B "unitize" and cooperatively decide how much oil to extract, and split the profit between them. The jointly profit-maximizing policy is that each extracts 50 units of oil from her well in each of the first two periods, after which the well is dry. How much discounted profit will A and B each make? b) (2) Suppose…You are the manager of a firm and you are required to optimize the Cobb Douglas function given the following parameters. The maximum amount of money available is $1600 where the price of K = 12 and the price of L=6. That is PK=12 and PL=6. The function is given as q=K0.4+L0.6. What are the optimal values of K0 and L0?The partial derivative of U with respect to M is V2 not V2M. Right?