Basics Of Engineering Economy
2nd Edition
ISBN: 9780073376356
Author: Leland Blank, Anthony Tarquin
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Luke used regression analysis to fit quadratic relations to monthly revenue, TR, and total cost, TC, data with the following results,
where Q is quantity.
TR= -0.008Q² + 32Q
TC = 0.005Q² +2.2Q + 10
The maximum profit occurs when Q = Blank 1 units (round off to whole number).
An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares
method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing
volume. Consider the following sample of production volumes and total cost data for a manufacturing operation.
Production Volume (units)
Total Cost ($)
400
4,000
450
5,000
550
5,400
600
5,900
700
6,400
750
7,000
a. Use these data to develop an estimated regression equation that could be used to predict the total cost for a given production volume. Do not round
intermediate calculations.
Compute b1 and bo (to 1 decimal). bị
bo
Complete the estimated regression equation (to 1 decimal). Do not round intermediate calculations
b. What is the variable cost per unit produced (to 2 decimal)? Do not round intermediate calculations
2$
c. Compute the coefficient of determination (to 3…
Luke used regression analysis to fit quadratic relations to monthly revenue, TR, and total cost, TC, data with the following results,
where Q is quantity.
TR = -0.008Q² + 32Q
TC = 0.005Q² +2.2Q + 10
Given the computed amount Q in problem #2, its corresponding maximum profit is Blank 1 (round off to whole number).
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- A recent engineering was given the job of determining the best production rate for a new type of casting in a foundry. After experimenting with many combinations of hourly production rates and total production cost per hour, he summarized his findings in table below (column 2). The engineering then talked to the firm’s marketing specialist, who provided estimates of selling price per casting as a function of production output (see table 1 column 3). There are 8,760 hours in a year. What production rate would you recommend to maximize total profits per year? a) 100 ; b) 200 ; c) 300 ; d) 400 ; e) 500 show the computation how to solve it.arrow_forwardA recent engineering was given the job of determining the best production rate for a new type of casting in a foundry. After experimenting with many combinations of hourly production rates and total production cost per hour, he summarized his findings in table below (column 2). The engineering then talked to the firm’s marketing specialist, who provided estimates of selling price per casting as a function of production output (see table 1 column 3). There are 8,760 hours in a year. What production rate would you recommend to maximize total profits per year? a) 100 ; b) 200 ; c) 300 ; d) 400 ; e) 500 Show handwritten solutions.arrow_forwardA manufacturing company produces solar panels. The variable costs are $20 per unit and fixed costs are $10,875. The price demand relationship for this product is P=-0.25Q+ 250, where P is the unit sales price of the product and Q is the demand of solar panels. Given the following: • Total cost = Fixed cost + Variable cost • Revenue = Demand x Price • Profit = Revenue - Total cost 26. The equation that represent the total cost is: a. ($10,875+$20) Q b. $10,875-$20 Q c. $10,875 × $20 Q d. $10,875+$20 Q 27. The equation that represent the total revenue is: a. $0.25Q²+$250Q b. - $0.25Q²+$250Q c. - $0.25Q²-$250Q d. $0.25Q²-$250Qarrow_forward
- Which of the following statements related to cost estimation methods is false? a. The three methods determine a slope and an intercept. b. The most complex method of cost estimation is the high-low method. C. None of the given answers. d. The least-squares regression method is the most accurate and reliable method to de compared to scatter-graph plot and high-low methods. The low-high method is LUsed to derive an estimated line of cost hehavior hy granhical pe here to search hp 10 & 7 V # 3 4 5 6 8 R Y 19 2.arrow_forwardA study of 86 savings and loan associations in six northwestern states yielded the following cost function. C� = 2.38 - 0.006153Q� + 0.000005359Q2�2 + 19.2X1�1 (2.86) (3.08) (3.68) (2.96) where C� = average operating expense ratio, expressed as a percentage and defined as total operating expense ($ million) divided by total assets ($ million) times 100 percent. Q� = output; measured by total assets ($ million) X1�1 = ratio of the number of branches to total assets ($ million) Note: The number in parentheses below each coefficient is its respective t-statistic. Which of the variable(s) is (are) statistically significant in explaining variations in the average operating expense ratio? (Hint: t0.025,70=1.99�0.025,70=1.99.) Check all that apply. Q� Q2�2 X1�1 What type of average cost-output relationship is suggested by these statistical results? Quadratic Cubic Linear Based on these results, what can we…arrow_forward= A certain seed and fertilizer company compiled the following estimates for its operations. Capacity per period is sales of $170,000. (a) the revenue function (b) the cost function (a) Write an algebraic expression for the revenue function. Assume a selling price of $1. Total Revenue = (Type an expression using x as the variable. Do not include the $ symbol in your answer.) Sales Fixed cost Total variable cost Total cost Net income $39,300 63,840 $152,000 103,140 $48,860arrow_forward
- Luke used regression analysis to fit quadratic relations to monthly revenue, TR, and total cost, TC, data with the following results, where Q is quantity. TR = -0.008Q² + 32Q TC = 0.005Q² +2.2Q + 10 The range of profitable demand is from Blank 1 units (round up) to Blank 2 units (round down). Note on rounding to whole number: The rounded values of 6,543.71 are 6,544 (round off or simply round), 6,543 (round down), and 6,544 (round up). Blank 1 Blank 2 Add your answer Add your answerarrow_forwardPrice and cost ($ per 1,000-gallon unit) Return t A municipal water utility employs quasi-fixed capital inputs-the water treatment plant and distribution lines to homes-to supply water to 20,000 households in the community it serves. The figure below shows the cost structure of this utility for various levels of water service. Quantity of water consumption is measured in 1,000-gallon units per month. AQFC is the average quasi-fixed cost curve, and LAC is long-run average cost. Long-run marginal cost, LMC, is constant and equal to $4 per 1,000-gallon unit. The inverse demand equation is P= 24 -0.0004Qd 10 14 MR Quantity (1,000-gallon units per month) Quasi-fixed capital inputs cost per month is $ LAC AQFC LMC Darrow_forwardA study of 86 savings and loan associations in six northwestern states yielded the following cost function. C = 3.12 - 0.006768Q + 0.000005359Q2 +21.1X1 (3.12) (2.61) (2.89) (2.96) where C = average operating expense ratio, expressed as a percentage and defined as total operating expense ($ million) divided by total assets ($ million) times 100 percent. Q = output; measured by total assets ($ million) X1 = ratio of the number of branches to total assets ($ million) Note: The number in parentheses below each coefficient is its respective t-statistic. Holding constant the effects of bank branching (X1), what is the level of total assets that minimizes the average operating expense ratio? $1,262.92 million $1,558.81 million $631.46 million $460.99 million What is the average operating expense ratio for a savings and loan association with the level of total assets determined in the previous part and 1 branch? 1.17% 3.15% 1.02% 5.63% What is the ratio with 10 branches instead? 5.93% 1.47%…arrow_forward
- A recent engineering was given the job of determining the best production rate for a new type of casting in a foundry. After experimenting with many combinations of hourly production rates and total production cost per hour, he summarized his findings in (table 1). The engineering then talked to the firm’s marketing specialist, who provided estimates of selling price per casting as a function of production output (see table 2). There are 8,760 hours in a year. What production rate would you recommend to maximize total profits per year? Table 1 Total cost per hr Casting production per hr $1,000 100 $2,600 200 $3,200 300 $3,900 400 $4,700 500 Table 2 Selling price / casting Casting production per hr $20.00 100 $17.00 200 $16.00…arrow_forwardA company makes solar panels. The company’s revenue function, in dollars, is R(n)=10n , where n is the number of panels produced. The cost function is C(n)=100(2)π/30 . R and C are shown on the graphbelow. a) Estimate from the graph i) the break-even points ii) the number of panels that should be produced for maximum profit b) Write the equation for the profit function P. c) Graph P. d) Use your graph of P to estimate the number of panels that give maximum profit. e) How would your answers for break-even points and maximum profit change if i) the number of dollars of revenue per panel is increased slightly? ii) the cost function is C(n)=100(2)π/35 changed to ? f) What does the number that was changed in part e) ii) represent?arrow_forwardAt the profit maximizing level of input use, Which of the following are true? (i) MVP=0 (ii) MVP=MIC (iii) MPP=MVP (iv) MVP=MVICarrow_forward
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