Introduction to Calculus in Economics: Calculus is a powerful tool used in economics. One of the initial applications areas is the study of a firm, a topic in microeconomics. An important function is the cost function function C (a), the cost of producing a items (of whatever they are selling). This question deals with just the cost function C (x). Problem Set question: The cost, in dollars, of producing a units of a certain item is given by C(x) = 10x10√x-8. Find the production level that minimizes the average cost per unit. The number of units that minimizes the average cost is Number

Introduction to Calculus in Economics: Calculus is a powerful tool used in economics. One of the initial applications areas is the study of a firm, a topic in microeconomics. An important function is the cost function function C (a), the cost of producing a items (of whatever they are selling). This question deals with just the cost function C (x). Problem Set question: The cost, in dollars, of producing a units of a certain item is given by C(x) = 10x10√x-8. Find the production level that minimizes the average cost per unit. The number of units that minimizes the average cost is Number

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

A street musician bought a new fiddle for $850.00. Assume she breaks 1 string each hour and can buy new strings for $1.00 each. On average, she makes $18.00 per hour. (a) Find the cost function C(x) associated with playing the fiddle for x hours. C(x)= (b) Find the revenue function R(x) for the amount of revenue gained from x hours of playing R(x) = (c) Find the profit function P(x) for the amount of profit gained from x hours of playing P(x) = (d) Use the functions above to complete the following sentence. She will need to work hours to break even
Emma sells hot chocolate outside of Yankees baseball games. They have two inputs in the production of hot chocolate: (hot chocolate mix (x1, measured in kg) and labour (x2, measured in hours. The production function for hot chocolate (in liters) is: f (x1 , x2) = (x1)1/3(x2)1/3 A) Does this firm have constant, increasing or decreasing returns to scale? The cost of hot chocolate mix is w1, and the cost of labour is w2. If Emma produces "y" liters of hot chocolate the cheapest way possible, then B) How many kilograms of hot chocolate mix would they use? C) How many hours of labour? D) What is the cost function of producing this much hot chocolate?
The marginal cost of producing the xth box of DVDs is 7 + C(x): = x² 80,000 and the fixed cost is $100,000. Find the cost function C(x).
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. Total Cost Number of Passengers (Dollars per flight) 40,000 10 60,000 20 65,000 30 68,000 40 70,000 50 71,000 60 72,500 70 73,500 80 74,000 90 74,300 100 74,500 Given the information presented in the previous table, the fixed cost to operate this flight is s 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 Quantity Demanded (Dollars per ticket) (Tickets per flight) 1,000 700 30 400 90 200 100
suppose the cost function is given as C = 135 + 75Q – 15Q2 + Q3. Prepare a cost schedule (table) showing the TFC, TVC, TC, AFC, AVC, MC, and ATC.Suppose the cost function is given as C = 135 + 75Q – 15Q2 + Q3. Prepare a cost schedule (table) showing the TFC, TVC, TC, AFC, AVC, MC, and ATC.
Consider the following cost function: 3 C=0.2q³-6q² + 80q + 150. (Enter a numeric response using a real number rounded to two decimal places.) When output is 19 units, average cost is $ When output is 19 units, marginal cost is $ The output level where average variable cost equals marginal cost is units.
G.189.
Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started looking at the cost function C (æ), the cost of a firm producing z items. An important microeconomics concept is the marginal cost, defined in (non- mathematical introductory) economics as the cost of producing one additional item. If the current production level is æ items with cost C (z), then the cost of computing h additionial (C(z+h)-C(z)) items is C (z + h). The average cost of those h items is . As we analyze the cost of just the last item produced, this can be made into a mathematical model by taking the limit as h → 0, i.e. the derivative C' (z). Use this function in the model below for the Marginal Cost function MC (x). Problem Set question: The cost, in dollars, of producing z units of a certain item is given by C (z) = 0.02a3 – 10z + 450. (a) Find the marginal cost function. MC (z) (b) Find the marginal cost when 50 units of the item are produced. The marginal cost when 50…
: Suppose that the production functions be like as (A) i) Y = X15 X20.5 ii)Y= X10.5 + X20.5 Find MRTS of these functions
Assume that cost curves have the standard U-shape. Suppose average total cost (ATC) is at its minimum when the output is 10 units. Also, we know that marginal cost of the 9th unit is $5. What is the ATC when 10 units are produced? 1) $5. 2) Greater than $5. 3) Less than $5. 4) There isn't sufficient information to answer the question.
3. Suppose that the feasible region of a cost minimization linear programming problem has three corners points of (5,8), (10,5), and (4,10). If the objective function is given as: Minimize Z = 2X + Y Which of the following represents an iso-cost line? Select one: a. X + 2Y = 10 b. X – Y = 10 c. 2X – Y = 10 d. 2X + Y = 10 e. none of the other options.