a)
To evaluate the variables that are statistically significant in explaining variations in the average operating expense ratio
a)
Explanation of Solution
In statistics the t-statistics is the ratio of the departure of a parameter's estimated value from its hypothesized value to its standard error. It is used via the Student's t-test in hypothesis testing. For a T test the T-statistic is used to determine whether the null hypothesis should be accepted or rejected.
These variables are tested at the statistically significant level of 5% that is 0.5.
Variable is significant, that is t value is larger than 0.025; the value of 0.025 is around 2. All the t values of variable are greater than the 2.00; hence, all values are significant in explaining the cause and effect relationship.
Introduction: The Operating Expense Ratio (OER) is a measure of the cost of operating a piece of property compared with the property’s revenue. It is calculated by dividing the operating expense (minus
c)
To evaluate the conclusion about the existence of economies or diseconomies of scale in savings and loan associations in the northwest
c)
Explanation of Solution
The cost analysis is concerned with determining the money value of inputs (labor, raw materials), referred to as the total cost of production which helps to determine the optimum production level.
It can be concluded here that cost and output relationship show that the shape of cost is U shaped, U shape of cost curve denotes that cost decreases up to the certain point and economies of scale ensues. After the certain level of output, economies of scale changes into diseconomies of scale.
Introduction: Economies of scale are cost advantages that businesses reap when production is successful. By rising production and reducing costs, businesses can achieve economies of scale. It is because it spreads prices over a larger variety of products. The costs may be fixed as well as variable.
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Chapter 9 Solutions
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
- 1. Exercise 9.1 A study of 86 savings and loan associations in six northwestern states yielded the following cost function. 2.38 0.006153Q 0.000005359Q² 19.2X1 C + + (2.62) (2.84) (3.16) (3.50) 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. Which of the variable(s) is (are) statistically significant in explaining variations in the average operating expense ratio? (Hint: t0.025,7€ 1.99 .) Check all that apply. X1 Q2 What type of average cost-output relationship is suggested by these statistical results? Quadratic Linear Cubic Based on these results, what can we conclude about the existence of economies or diseconomies of scale in savings and loan associations in…arrow_forward1. Exercise 9.1 A study of 86 savings and loan associations in six northwestern states yielded the following cost function. C 2.38 (3.33) 0.006153Q (3.08) 0.000005359Q² (3.16) 19.2X₁ (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. Which of the variable(s) is (are) statistically significant in explaining variations in the average operating expense ratio? (Hint: £0.025,70 = 1.99.) Check all that apply. Q2 What type of average cost-output relationship is suggested by these statistical results? ○ Cubic Linear Quadratic Based on these results, what can we conclude about the existence of economies or diseconomies of scale in savings and loan associations in the…arrow_forwardA study of the costs of electricity generation for a sample of 56 British firms in 1946-1947 yielded the following long-run cost function: (Source: Johnston, "Chapter 4," in Statistical Cost Analysis) AVC = 1.24 + 0.0033Q + 0.00000290² Q = output; measured in millions of kWh per year Z = plant size; measured in thousands of kilowatts where AVC = average variable cost (i.e., working costs of generation), measured in pence per kilowatt-hour (kWh). (A pence was a British monetary unit equal, at that time, to 2 cents U.S.) What is the long-run total variable cost function for electricity generation? 1.24 +0.0033 +0.0000029Q -0.000046Z 0.026Z 0.000182² Q Q Q ○ 0.0033 +20.0000029Q -0.000046 Z O 0.0033Q +20.00000290² - 0.000046 QZ O 1.24Q +0.0033Q² +0.0000029Q³ – 0.000046Q²Z – 0.026ZQ+0.00018Z²Q What is the long-run marginal cost function for electricity generation? 0.000046 QZ O 0.0033Q +20.0000029Q² +0.000046 QZ O 1.24 +0.0066Q+0.0000087Q² - 0.000092QZ – 0.026Z+0.00018Z2 O +0.0033…arrow_forward
- 2. Exercise 9.2 A study of 86 savings and loan associations in six northwestern states yielded the following cost function. C 3.41 (3.41) 0.007384Q (2.84) 0.000005359Q2 (3.16) 23.0X1 (3.23) 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? $1,557.42 million O $688.93 million $461.81 million $1,377.87 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? 1.18% 0.90% 4.94% 3.44% What is the ratio with 10 branches instead?…arrow_forwardA musical Disc is being produced by a music recording studio, and the company estimates that it will cost $100,000 to record the Disc and $6.75 per unit to duplicate and distribute the Disc. The Disc wholesale cost is $19.95. (a) Find the cost and revenue functions (b) Find the profit function (c) Find the number of Disc’s the company must produce and sell in order to break even (d) Draw a graph with the cost and revenue functions on the same axes, indicating the breakeven point.arrow_forwardConsider the following cost function: C(Q)=9,300+44Q+0.025Q 2 Calculate total costs when Q=180arrow_forward
- For the cost function CQ) = 100 - 20 - 304, the total variable cost of producing 2 units of output is:arrow_forwardThe marginal cost function for a company is given by C'(a) = q²-17q+70 dollars/unit, where q is the quantity produced. If C(0)=650, find the total cost of producing 20 units. What is the fixed cost and what is the total variable cost for this quantity? Fixed cost = $ Variable cost of producing 20 units = $ 69 Total cost of producing 20 units $arrow_forwardC(Q) = 100 + 20Q + 15Q2 + 10Q3 Based on the cost function, determine: The average fixed cost of producing 10 unit of outputs The average variable cost of producing 10 unit of outputs The marginal cost when Q= 10arrow_forward
- Here is the production cost function, in $ of producing q units of a product: 2200 C(q) = 300 +0.8q2 + %3D and the demand function of the product is: p(x) = 200 - 0.05q a. Determine the marginal cost, marginal revenue and marginal profit when q=50 and q=150? b. Interpret the results of the calculation in part (a) if it is related to cost, revenue and profit?arrow_forwardSuppose a company has fixed costs of $36,000 and variable cost per unit of x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1,452 - fx (a) Form the cost function and revenue function (in dollars). C(x) = R(x) = Find the break-even points. (Enter your answers as a comma-separated list.) X = (b) Find the vertex of the revenue function. (x, y) = Identify the maximum revenue. $ (c) Form the profit function from the cost and revenue functions (in dollars). P(x) = Find the vertex of the profit function. (x, y) = Identify the maximum profit. $ (d) What price will maximize the profit? $ 3²x₁ Ex dollars per unit.arrow_forwardIf C = 0.0001Q2 + 3Q + 6000 is a total-cost function, find the marginal cost when Q = 100.arrow_forward
- Managerial Economics: Applications, Strategies an...EconomicsISBN:9781305506381Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. HarrisPublisher:Cengage LearningManagerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning