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1 Economies of Scale Consider the total cost function (TC): TC(q) = 100+ 40 + 492...
3. A firm’s total cost curve is TC = 40Q – 10Q2 + Q3. a. What...
3. A firm’s total cost curve is TC = 40Q – 10Q2 + Q3. a. What are the equations for Marginal Cost and Average Total Cost? b. What is the minimum efficient scale? c. Over what range of output does the production function exhibit economies of scale, and over what range does it exhibit diseconomies of scale?
2. Consider the total cost function TC = TC(Q), where Q is output. Show that average...
2. Consider the total cost function TC = TC(Q), where Q is output. Show that average total cost, ATG, reaches its minimum point where MC ATC.
4. The average cost of producing q units of a good is the total cost of production C(q), divided by the total produ...
4. The average cost of producing q units of a good is the total cost of production C(q), divided by the total production q: AC(q) calculus by MC(g) = C"(a) = . Ca for q> 0 The marginal cost MC is given in terms of G dThe fired cost of production is C(0). Why is C(0) called the fized cost? What does it represent? a. b. If C(g) is continuous for q 2 0 and C(0)> 0, what is lim...
3) Suppose the cost curve for a firm producing sneakers is TC 1010 q - 4q-...
3) Suppose the cost curve for a firm producing sneakers is TC 1010 q - 4q- + 3.1 (10 points) What are the firm's fixed costs, variable costs, average costs, average fixed cost, average variable costs, and marginal costs? 3.2 (10 points) Graph all 7 cost functions (TC, VC, FC, AC, AVC, AFC, MC) for quantities q 0 to q 10. You can use the Excel program to generate these graphs, plot C, VC, and FC in one graph and...
Question 01. Consider the cost function C = 5,000 + 50. Q, where C denotes the total cost, and Q denotes the quanti...
Question 01. Consider the cost function C = 5,000 + 50. Q, where C denotes the total cost, and Q denotes the quantity produced. A. Complete the following table: (Hint: MC = AC/AQ) Quantity | Cost Fixed Cost Total Cost Average | Marginal Total Cost Cost 10 20 50 100 1000 B. Using the above table, plot average total cost and marginal cost. Cost Quantity C. Explain how you know that this firm has increasing returns to scale.
2. (54 points) Short-run costs. Suppose w 1, r 10 and K 20. C )q3 +200 a) (5 points) We have TC = WG) q3 + rK = On one graph (with q on the horizontal axis), graph the Total Cost, Variable Cost, and...
2. (54 points) Short-run costs. Suppose w 1, r 10 and K 20. C )q3 +200 a) (5 points) We have TC = WG) q3 + rK = On one graph (with q on the horizontal axis), graph the Total Cost, Variable Cost, and Fixed Cost functions. Pay attention to the shape of the curves, where they intercept the axes and each other (if they do), and the position of the curves relative to each other b) (9 points) Using...
1) (Cost functions) a) Consider total cost function: C(q) = 48 + 3q2 + 2q, derive...
1) (Cost functions) a) Consider total cost function: C(q) = 48 + 3q2 + 2q, derive the average cost function, the marginal cost function, and the minimum efficient scale, and carefully graph the average cost and marginal cost curves. b) Consider total cost function: C(q) = 20 + 5q, derive the average cost function, the marginal cost function. How does the marginal cost compare to the average cost? Graph these two functions. Does the average cost obtain a minimum at...
(a) Assume that the productionfunction for a firm is q=VKV. (1) Show that this function means...
(a) Assume that the productionfunction for a firm is q=VKV. (1) Show that this function means constant returns to scale. Explain in words what constant returns to scale mean. (b) Suppose instead that the production function is q=KL. (2) Show that this function means increasing returns to scale. Explain in words what increasing returns to scale mean. (c) The measure of 'Economies of Scale' is % change in C Ec = % change in MC AC If (1) applies, it...
1. Which of the following must be true when average total cost is decreasing? Average fixed...
1. Which of the following must be true when average total cost is decreasing? Average fixed cost is increasing. Average variable cost is constant. Marginal cost is lower than avergae total cost. Marginal cost is decreasing. 2. Which of the following is true? AVC=ATC+AFC. AFC will go up in the beginning but will eventually go down. MC= (change in TC)/ (change in Q) FC+MC=TC. 3. Which of the following is true? Average product (AP) is increasing when the marginal product...
3. Show whether the cost function C (q,+q14-(qiq) exhibits both economies of scope and economies of...
3. Show whether the cost function C (q,+q14-(qiq) exhibits both economies of scope and economies of scale b Derive the bDerive the conditions under which the cost function C(qi.q) 1+(q + g2) exhibits economies of scope. 4 Consider a market in which all firms have the following total cost function C(g)-150+q+0.5q What level of output corresponds to the minimum average total b) cost (minimum efficient scale)? If firms are perfectly competitive, what is the equation of an individual firm's supply...
2. Consider the total cost function TC = TC(Q), where Q is output. Show that average total cost, ATG, reaches its minimum point where MC ATC.
4. The average cost of producing q units of a good is the total cost of production C(q), divided by the total production q: AC(q) calculus by MC(g) = C"(a) = . Ca for q> 0 The marginal cost MC is given in terms of G dThe fired cost of production is C(0). Why is C(0) called the fized cost? What does it represent? a. b. If C(g) is continuous for q 2 0 and C(0)> 0, what is lim...
3) Suppose the cost curve for a firm producing sneakers is TC 1010 q - 4q- + 3.1 (10 points) What are the firm's fixed costs, variable costs, average costs, average fixed cost, average variable costs, and marginal costs? 3.2 (10 points) Graph all 7 cost functions (TC, VC, FC, AC, AVC, AFC, MC) for quantities q 0 to q 10. You can use the Excel program to generate these graphs, plot C, VC, and FC in one graph and...
Question 01. Consider the cost function C = 5,000 + 50. Q, where C denotes the total cost, and Q denotes the quantity produced. A. Complete the following table: (Hint: MC = AC/AQ) Quantity | Cost Fixed Cost Total Cost Average | Marginal Total Cost Cost 10 20 50 100 1000 B. Using the above table, plot average total cost and marginal cost. Cost Quantity C. Explain how you know that this firm has increasing returns to scale.
2. (54 points) Short-run costs. Suppose w 1, r 10 and K 20. C )q3 +200 a) (5 points) We have TC = WG) q3 + rK = On one graph (with q on the horizontal axis), graph the Total Cost, Variable Cost, and Fixed Cost functions. Pay attention to the shape of the curves, where they intercept the axes and each other (if they do), and the position of the curves relative to each other b) (9 points) Using...
(a) Assume that the productionfunction for a firm is q=VKV. (1) Show that this function means constant returns to scale. Explain in words what constant returns to scale mean. (b) Suppose instead that the production function is q=KL. (2) Show that this function means increasing returns to scale. Explain in words what increasing returns to scale mean. (c) The measure of 'Economies of Scale' is % change in C Ec = % change in MC AC If (1) applies, it...
3. Show whether the cost function C (q,+q14-(qiq) exhibits both economies of scope and economies of scale b Derive the bDerive the conditions under which the cost function C(qi.q) 1+(q + g2) exhibits economies of scope. 4 Consider a market in which all firms have the following total cost function C(g)-150+q+0.5q What level of output corresponds to the minimum average total b) cost (minimum efficient scale)? If firms are perfectly competitive, what is the equation of an individual firm's supply...
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