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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Answered: 1. For each of the cost functions given…

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter4: Extent (how Much) Decisions

Section: Chapter Questions

Problem 3MC

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Technology B uses 4 workers and 2 tonnes of coal to produce 100 meters of cloth. The worker's wages cost $10 and coal costs $5. We have previously calculated that the total cost of production is $50 and that the vertical intercept of the isocost line is 10.If there was a technology that used 1 more worker, how much would it have to decrease the coal required in order to cost the same? (Note: this is the absolute value of the slope of the isocost line.)
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…
2
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 above
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.
It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake. A cupcake issold for $4.90 each.(i) Make a table showing the total cost and the revenue obtained from producing 20,40,60,80 and 100 cupcakes.(ii) Write algebraic expressions representing the cost C and the revenue R as functions of the number of cupcakes X produced and number of cupcakes X sold respectively.(iii) Graph both functions on the same coordinate axes and from your graph determine the cordinate at which cost equals revenue.

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