A firm has the following information on production and costs from past data: Output (Y) Total Cost (TC) 0 9 6 2775 12 5361 known known to be 18 8199 If the total cost function is demand for the TC=aY³+bY²+kY+f, and 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.

A firm has the following information on production and costs from past data: Output (Y) Total Cost (TC) 0 9 6 2775 12 5361 known known to be 18 8199 If the total cost function is demand for the TC=aY³+bY²+kY+f, and 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.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Suppose you run a factory whose short-run production function is given by f (L) = 180L² – 3L³. (a) Find mathematical expressions for the total product of labor, the average product of labor and the marginal product of labor. (b) On two separate axes, graph TPL, APL, and M PL. The diagrams do not need to be scale, but be sure they are internally consistent. In other words, make sure that all relevant relationships between the three lines are correct. If you have trouble figuring out what the graph looks like, feel free to use a graphing calculator or an online graphing tool to find the basic shape. Find the quantity of labor associated with each of the following points and label it on your diagram: (i) the maximum value of TPL, (ii) the maximum value of APL, (iii) the maximum value of MPL. (c) For what values of L does the production function exhibit each of the following: i. increasing marginal labor productivity ii. diminishing marginal labor productivity iii. negative marginal labor…
(A) With P = 20, W = 25 and TFC = 500: Labor Output (Q) (L) 5 10 25 35 50 60 10 25 60 70 80 90 Marginal Physical Product of AVC=VC/Q ATC=TC/Q Labour (MPPL) 2 3 4 2 2 1 Average Physical Cost Product of (TC) (VC) Labour (APPL) 2 2.5 2.4 2 1.6 1.5 MPPL = Change in Q / Change in L APPL=Q/L TC = TFC + VC VC=W* L MC = Change in TC / Change in Q Total Variable Marginal Average Cost Variable 625 750 1125 1835 1750 2000 125 250 625 875 1250 1500 Cost (MC) 15 10 6 10 15 30 Average Total Cost Cost (AVC) (ATC) 12.50 10.00 10.42 12.50 15.63 16.62 62.5 30.00 18.75 26.21 21.88 22.22 Based on this table, answer this: 1. How much output will this firm produce? If the price of output increases to $30, how does your answer change? 2. If the productivity of labor increases by 10% (all else equal), how much more labor will the firm hire? 3. Below what price will this firm decide to produce zero units of output? (i.e. shut down)
Consider the following total cost function: where represents output and are constants. What can we conclude? (a) The firm experiences rising average fixed costs, but falling average variable costs. (b) The firm experiences falling average fixed costs, but rising average variable costs. (c) The firm experiences falling average fixed costs and falling average variable costs. (d) The firm experiences rising average fixed costs and rising average variable costs
In line with the information including the production amount and total cost of the firm and the double (half) average technique, write the total cost function of the firm by making the relevant calculations and calculate the total cost for the production of 1150 units. .
Al Mardoof Company paid different types of costs for different output levels as shown in the given diagram. What is the average variable cost for 10 units of production? Fixed, Variable and Total Cost for a hypothetical firm 300 250 200 150 100 50 2 10 12 Fxed Cost Variable Cog Total Cost | Choose the answer from given options:
a) Calculate the marginal product (MP1) for the mixers. Does the production function have increasing, decreasing, constant marginal product for the mixers? b) Suppose in the short run the amount of machines she has is fixed at 27. How many mixers should she use? How many baklavas will she produce? How much profit will she make? c)Usinag an isoprofit, as well as the production function, draw a diagram of your soltuion from part (b). carefully label all the slopes and intercepts. d) In the long run, how many mixers should she use? How many machines? How many baklavas will she make? e) Suppose that the government decides to provide a $1 subsidy per mixer. What is the profit-maximizing amount of input to use now?
Fill in the missing data to solve this problem. Variable Total Average MarginalInput Product Product Product4 ? 70 ----5 ? ? 406 350 ? ? What is the total product for 5 units of input, and what is the marginal product for 6 units of input?
Assume that it costs a company approximately C(x) = 400,000 + 180x + 0.001x² dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. Use it to estimate how fast the cost is increasing when x = 10,000. $ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ Thus, there is a difference of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) C(10,000) $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. The marginal cost from (a) is ---Select--- O than the average cost from (b). This means that the average cost is ---Select--- O at a production level of 10,000 smartphones.
The following cost data are for a firm in the short run: Output Total Cost 0 $400 1 500 2 550 3 600 4 650 5 700 What is the firm's average variable cost at an output of 5 units? $30 $60 $120 $140
3. The "Sad Student" Company finds that it costs a total of C(q) = 9720 +500q – 1.5q +0.005q Dollars to produce q lots of its latest board game named "Calculus Teacher Shooter", each lot consisting of 100 games. A) Analyze the behavior of cost function Interpret the constant term in the expression of C(q) B)