6. La función de Utildad en una industria es U(x1, x2) = Axxx₁, considere los siguientes problemas: P1 máx U(X) s.a p² x = m p²x p vector de precios P2: mín px s.a U(X) = U a) determine la relación entre: V₁(p, m) Эт OV₂(p,U) y au donde V₁ y V₂ son las funciones de máximo valor, con los multiplica- dores de lagrange asociados a los problemas P₁ y P2 respectivamente. b) Se conoce que V₂(p,Ū) = −E(p,Ū) y que E(p, V₁(p, m)) = m muestre que si λ₁ es el multiplicador para P₁ y λ₂ es el multiplicador para P2 entonces A₁₂ = −1|

estions tu1et10r.07.099 O O Question 18 of 20 Which of the following statements is true? a. When marginal cost is below average cost, average cost rises; when marginal cost is above average cost, average cost falls. b. The marginal product is the output per unit of a variable input. c. When marginal productivity of a variable input is falling then marginal costs of production must be rising. d. Average variable cost and average fixed cost are U-shaped curves.

1.Suppose a chair manufacturer is producing in the short run (with its existing plant andequipment). The manufacturer has observed the following levels of production correspondingto different numbers of workers:Number of Workers  Number ofChairs              1                            10              2                            18              3                            24             4                            28            5                              30            6                             28            7                             25a. Calculate the marginal and average product of labor for this production function.b. Does this production function exhibit diminishing returns to labor? Explain.c. Explain intuitively what might cause the marginal product of labor to becomenegative.

4) Please indicate whether the following production function has the characteristic of CRS, IRS and DRS. (a) F(Z1, Z2)=(Zı+Z2)/2 1. CRS 2. IRS 3. DRS 4. None of the above (b) F(K, L)=[aKP +(1-a)Lº ]Ve, (1>a>0, 1>p) 1. CRS 2. IRS 3. DRS 4. None of the above

can you please provide explanations and working

please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearly

part D E F

2) The Trouser Company has fixed costs of 2,000 per week. In addition, we have some information about its marginal costs (MC) and total variable costs (TVC). Output MC TVC 30 60 90 100 120 150 140 59 32 59 80 6,000 8,160 14,250 140 275 2,850 4,080 5,310 a) For each of the output levels in the table, calculate the Trouser Company's average variable costs (AVC) and average (total) cost (AC) Output 30 60 90 100 120 150 MC 140 59 32 59 80 140 275 TVC 2,850 4,080 5,310 6,000 8,160 14,250 b) Sketch a diagram showing the marginal cost curve, the average variable cost curve, and the firm's short run supply curve. c) Explain how the firm would maximise its profit, assuming that it faces conditions of perfect competition, in both the short run and the long run. Be careful to explain the conditions under which the firm would shut down or close.

See Hint Suppose you are the owner of a firm producing jelly beans. Your production costs are shown in the table. Jelly Bean Production Вохes Average cost per box 100 $0.95 101 $0.96 102 $0.97 $0.98 103 Initially, you produce 100 boxes of jelly beans per time period. Thena new customer calls and places an additional order for jelly beans, requiring you to increase your output to 101 boxes. She offers you $1.75 for the additional box. Should you produce it? Choose one: O. A Yes, because $1.75 is greater than average total cost, O B. No, because $1.75 is less than average total cost. O C. Yes, because $1.75 is greater than the marginal cost. O D. No, because $1.75 is less than the marginal cost. 9 E. We can't say because we don't know average variable cost.

What economic principle explains why average variable costs and marginal costs initialy decrease as output increases?