ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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1a) A firm’s estimated long-run total cost function is LRTC = 160Q - .6Q2 + .002Q3. Suppose the firm is producing 100 units of output. The cost elasticity is ____ You can use Excel spreadsheet or otherwise to answer this question.
- b) A research study published in Social Science Medicine, “Production Functions for General Hospitals,” estimated the following general hospital production function in the Netherlands: Q = 5*Staff.34*Beds.64*Drugs.04*Specialists.02, where Q is a measure used by the authors for patient care. Suppose a hospital currently utilizes the following inputs: Staff =20, Beds = 120, Drugs = 60, Specialists =10. Use a spreadsheet to find the following or otherwise. If the hospital increases its specialists by one (1), that is, employs an 11th specialist, the increase in Q (marginal product) will be:
- c) A study published in Social Science Medicine, “Production Functions for General Hospitals,” estimated the following general hospital production function: Q = 5*Staff.34*Beds.64*Drugs.04*Specialits.02, where Q is a measure used by the authors for patient care. If we increase all inputs by 1%, the percentage change in Q will be:
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- The manager of Greene Enterprises, Inc., recently estimated its average variable cost (AVC) function to be AVC = 88−0.026Q + 0.000003Q2 Greene Enterprises faces total fixed costs (TFC) of $300,000. At what level of output does average variable cost (AVC) reach its minimum value for Greene Enterprises?arrow_forwardCraig and Javad run a paper company. Each week they need to produce 1,000 reams of paper to ship to their customers. The paper plant's longrun production function is Q = 4KL, where Q is the number of reams produced, K is the quantity of capital rented, and L is the quantity of labor hired. The weekly cost function for the paper plant is C = 20K + 4L, where C is the total weekly cost. (a) What ratio of capital to labor minimizes Craig and Javad's total costs? (b) How much capital and labor will Craig and Javad need to rent and hire in order to produce 1,000 reams of paper each week? (c) How much will hiring these inputs cost them?arrow_forwardConsider the following short run cost function: TC = 4Q³ - 24Q² + 16Q + 100 Derive the expressions for marginal cost and average total cost. What can we infer about the range of output over which production shows increasing returns to labor and diminishing returns to labor?arrow_forward
- Question 6: For each of the total cost functions, write the expressions for the average cost, average fixed cost, average variable cost, and marginal cost: 1. TC (Q) = 5Q 2. TC (Q) = 120 +6Q 3. TC (Q) = 6Q² 4. TC (Q) = 140 +5Q²arrow_forwardA firm’s estimated long-run total cost function is LRTC = 160Q - .6Q2 + .002Q3. Suppose the firm is producing 100 units of output. The cost elasticity is ____. You can use a Excel spreadsheet or otherwise to find the answer.arrow_forwardConsider a company that has fixed costs of $6,700 and a marginal cost of $26 per item. What is the company's average cost function? How many items must the company produce to have an average cost of $36.31 per item?arrow_forward
- The following equation represents the cost structure of a firm: C= 10 + 3q. The average cost of production isarrow_forwardThe long-run cost function for a firm in the personal computer business is: C(q) = 8q² + 7200, for q> 0. What is the average cost function AC (g)? AC (q) = 16q AC (q) = 8q+ 7200 9 AC (q) = 16q+ AC (g) 16q+7200 AC(q) = 8q+7200 = 7200 9 The long-run cost function for a firm in the personal computer business is: C(q) = 8q² + 7200. for q> 0. What is the marginal cost function MC (q)? MC(q) = 8q+7200 MC(q) = 8q MC (g) MC (q) = 16q MC (q) = 16q+ 16q+72000 7200 The long-run cost function for a firm in the personal computer business is: C(q) = 8q²+7200, for q> 0. At what level of output does average cost equal marginal cost? The level of output at which average cost and marginal cost are equal is type your answer... -01arrow_forwardAn economist estimated that the cost function of a single-product firm isC(Q) = 100 + 20Q + 15 Q^2 + 10 Q^3Based on this information, determine:b. The variable cost of producing 10 units of output.arrow_forward
- M1arrow_forwardA firm has the following information on production and costs from past data: Output (Y) 0 12 18 6 Total Cost (TC) 9 2775 5361 8199 If the total cost function is known to be TC = aY' + bY ² + kY + ƒ , and the demand for the product of the firm is Y = 320-(1/2). P answer the following: • Determine the coefficients of the cubic cost function. • Derive all cost and revenue curves and the profit function. Show that the MC cuts the AVC when AVC is at its minimum point. Plot the relevant graph indicating all points. Calculate the break even and profit maximizing levels of output and price. • What is the relationship between price, marginal revenue and own price elasticity of demand at the profit maximization point.arrow_forward
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