Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost function C(x) = 0.01x+0.4x+50, find AC and C'(x) when x 80 and Ax 1. ... AC=$ (Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.) C'(x) when x = 80 is $ per unit. (Type an integer or a decimal.)

Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost function C(x) = 0.01x+0.4x+50, find AC and C'(x) when x 80 and Ax 1. ... AC=$ (Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.) C'(x) when x = 80 is $ per unit. (Type an integer or a decimal.)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Suppose that the total cost (in dollars) of producing a product is C(x, y) = 15 + 3x2 + 5y2, where x is the cost per pound for material and y is the cost per hour for labor. (a) If material costs are held constant, at what rate will the total cost increase for each $1-per-hour increase in labor? (b) If the labor costs are held constant, at what rate will the total cost increase for each increase of $1 in material cost?
Find the number of units x that produces the minimum average cost per unit C (with a line over the C) in the given equation c=0.001x^3+7x+1458
1. If the marginal revenue (in dollars per unit) for a month is given by MR = 0.3x + 450, what is the total revenue from the production and sale of the 50 units? 2.. Suppose the weekly revenue and weekly cost ( both in dollars) for a product are given by R(x)= 300x -0.001x^2 and C(x) = 4000 + 30x respectively, where x is the number of units produced and sold. Find the rate at which profit is changing with respect to time when the number of units produced and sold is $$50 and is increasing at a rate of 5 units per week.
Suppose that the marginal propensity to consume is dC dy = 0.02 + ln(y + 1) y + 1 (in trillions of dollars) and that consumption is $6.08 trillion when disposable income is $0. Find the national consumption function. C(y) =
Find number of units X that produces the minimum average cost unit C in given equation. C= 0.001x3 +7x+2