1. For each of the cost functions given below, do the following things: C(T) = = 10 + 2T. C(T) = T0.8 (a) Draw the graph for C(T), with T on the horizontal axis. Explicitly the values for the intercepts. (b) Derive AC and MC respectively, and draw their curves. (c) Determine whether the cost function exhibits IRTS or DRTS or CRTS.
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- Please only do, d,e,f please!It costs a company $58 to produce 6 units of a product and $78 to produce 10 units. Assuming that the cost is linear, how much does it cost to produce 25 units?The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $60,000. The variable cost of recapping a tire is $9. The company charges $25 to recap a tire. For an annual volume of 12,000 tires, determine the total cost, total revenue, and profit. Determine the annual break-even volume for the Retread Tire Company operation. Graphically illustrate the break-even point using a one way table that relates volume to profit.
- Use the line drawing tool to plot the functional relation. listed below on a scale diagram (with X on the horizontal axis and Y on the vertical axis) and compute the slope of the line. Make sure you start at the Y-intercept and label the line 'Line A'. Y = 20 + 3X Carefully follow the instructions above, and only draw the required object.2. What is the relationship between the total cost curve, and the average cost per unit? Explain their relationship, and draw a diagram showing how the two are related. The total cost of production, in thousands of dollars, is C(q) = q³ 12q² + 60q, where q is in thousands and 0 ≤ q ≤ 8. (a) Graph C(q). Estimate visually the quantity at which average cost is minimized. (b) Determine analytically the exact value of q at which average cost is minimized.Evaluate the following question. Show your work.
- 1. Exercise 9.1 A study of 86 savings and loan associations in six northwestern states yielded the following cost function. 2.38 0.006153Q 0.000005359Q² 19.2X1 C + + (2.62) (2.84) (3.16) (3.50) where C = average operating expense ratio, expressed as a percentage and defined as total operating expense ($ 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…ATC, AAC, AVC, MC (/uni 270.00 24000 21000 180.00 150.00 120.00 10:00 60.00 30.00 0:00 02 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 Units of Output (0) Unit Cost Curves Refer to the graph above. The curves are not labeled. To help get this question right, you must first label the curves. An output level of 18 is identified with the dark vertical line. The shaded rectangular area (height times width) is the O average sunk cost. O total sunk cost O total avoidable fed cost. O total avoidable cost. O None of the aboveA cost function is given. C(q) = 3600 + 5q-0.02q² + 0.00039³ (a) Find the average cost and marginal cost functions. +5 -0.02q +0.0003q average cost 3600 9 marginal cost 5 -0.04q+0.0009q (b) Use graphs of the functions in part (a) to estimate the production level that minimizes the average cost. (Round your answer to the nearest integer.) 194 ✓ units (c) Use calculus to find the minimum average cost. (Round your answer to two decimal places.) $ 32.41 X (d) Find the minimum value of the marginal cost. (Round your answer to two decimal places.) $ 4.56
- A small business produces and sells balls. The fixed costs are $20 and each ball costs $2.92 to produce. Each ball sells for $7.92. Write the equations for the total cost, C, and the revenue, R, then use the graphing method to determine how many balls must be sold to break even.Consider an airline’s decision about whether to cancel a particular flight that hasn’t sold out. The following table provides data on the total cost of operating a 100-seat plane for various numbers of passengers. Number of Passengers 0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 Total Cost (Dollars per flight) 40,000, 60,000,65,000, 68,000,70,000, 71,000, 72,500, 73,500, 74,000, 74,300,74,500 Given the information presented in the previous table, the fixed cost to operate this flight is $ . At each ticket price, a different number of consumers will be willing to purchase tickets for this flight. Assume that the price of a flight is fixed for the duration of ticket sales. Use the previous table as well as the following demand schedule to complete the questions that follow. Price per ticket 1,000, 700, 400, 200 Quantity Demanded (Dollars per ticket) (Tickets per flight) 0, 30, 90, 100 Complete the following table by computing total revenue, total cost, variable cost, and profit for each…A firm has the following production function: Q = 9L2/3K1/3 Where Q is output, L is labor and K is Capital. Where Q is output, L is labor and K is Capital. (a) What sort of returns to scale characterize this production function? (b) Derive the marginal product of labor and capital. (c) What do we mean when we say the production function is linearly homogenous?
