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?

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?

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

The weekly marginal cost of producing x pairs of tennis shoes is given by the following function, where C(x) is cost in dollars. C′(x)=15+500x+1 If the fixed costs are $4,000 per week, find the cost function. What is the average cost per pair of shoes if 1,000 pairs of shoes are produced each week?
A linear revenue function is R = 86x. (Assume R is measured in dollars.) (a) What is the slope m? m = Let C(x) = 7x + 550 and R(x) = 28x. (a) Write the profit function P(x). P(x) = (b) What is the marginal revenue MR? MR = What does the marginal revenue mean? ○ Each additional unit sold yields this many dollars in revenue. ○ If the number of units sold is increased by this amount, the revenue decreases by $1. ◇ Each additional unit sold decreases the revenue by this many dollars. ◇ If the number of units sold is increased by this amount, the revenue increases by $1. (c) What is the revenue received from selling one more item if 50 are currently being sold? $ What is the revenue received from selling one more item if 100 are being sold? $ (b) What is the slope m of the profit function? m = (c) What is the marginal profit MP? MP = (d) Interpret the marginal profit. ○ Each additional unit sold increases the profit by this much. ○ This is the smallest number of units that can be sold in…
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 (z), the cost of producing z items (of whatever they are selling). This question deals with just the cost function C (z). Problem Set question: The cost, in dollars, of producing z units of a certain item is given by C (z) = 5z – 8/I – 3. Find the production level that minimizes the average cost per unit. The number of units that minimizes the average cost is Number
Consider the following cost function (C): C= 0.25q3 - 4q? + 75q + F. The equation for average cost (AC) is: AC = |. (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ character.) The equation for variable cost (VC) is: Vc=. (Properly format your expression using the tools in the palette.) The equation for marginal cost (MC) is: MC =. (Properly format your expression using the tools in the palette.)
Given Cost and Revenue functions C(q)=q3−10q2+52q+5000 and R(q)=−3q2+2400q, what cost is incurred when marginal profit is $0?
The production costs per week for producing x widgets is given by the function: C(x) = 500 + 10x +32 x 2. What is the marginal cost when x= = 300
If the Marginal Cost for a product is found to be MC= 8x+60 , and the Marginal Revenue is given as MR= 1200 and the cost of 8 units is found to be $1600, what are: the Total Costs? the Fixed Costs? the Total Profit? the production level, x, that yields Maximum Profit? the corresponding Maximum Profit?
(a) Find the conditional input demand function for inputs 1 and 2, as well as the cost function for this firm. (b) What is the firm's marginal cost when it is producing y units of output?
For the cost and price functions below, find a) the number, q, of units that produces maximum profit; b) the price, p, per unit that produces maximum profit; and c) the maximum profit, P. C(q) = 70+ 14q; p = 70-2q a) The number, q, of units that produces maximum profit is q = b) The price, p, per unit that produces maximum profit is p = $ c) The maximum profit is P = $
Consider the following total revenue function for a hammer. R 44x 0.01x2 (a) The sale of how many hammers, x, will maximize the total revenue in dollars? x = 2200 hammers Find the maximum revenue. $48400 (b) Find the maximum revenue if production is limited to at most 1200 hammers. $ If the total revenue function for a computer is R(x) = 1000x - 35x2-x³, find the level of sales, x, that maximizes revenue and find the maximum revenue in dollars. x = R(x) = $ computers If the total cost function for producing x lamps is C(x) = 3240 + 37x+ 0.9x2 dollars, producing how many units, x, will result in a minimum average cost per unit? units Find the minimum average cost per unit. $ If the total cost function for a product is C(x) = 10+ 0.1x2 dollars, producing how many units, x, will result in a minimum average cost per unit? x= units Find the minimum average cost per unit. $ Find the derivative of the function. f(x) = ex-xe
Find the average cost function if cost and revenue are given by C(x) = 170 + 3.6x and R(x) = 5x - 0.01x. The average cost function is C(x) =.
A farm produces rice, which is sold in 50 kilogram bags. Let Q denote the number of bagsproduced per week during harvest time. Costs C are denoted in units of dollars. The totalweekly cost function for producing the product is C = 4Q + 100. The total weekly income function for this product is I = 50Q – 2Q2. What is the profit function P as a function of Q and sketch it using P values 0, 5, 10,15, 20 and 25.