Question

assume that revenue, R(x), and cost, C(x), of producing x units are in dollars: R(x)=9x-2x^2 C(x)=x^3...

assume that revenue, R(x), and cost, C(x), of producing x units are in dollars:

R(x)=9x-2x^2 C(x)=x^3 - 3x^2 +4x +1

how many units must be produced to maximize profit? what is the maximum profit as a dollar amount?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the maximum profit and the number of units that must be produced and sold in...
Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x) and cost C(x) of producing units in dollars. R(x)=4x, , C(x) = 0.05x ^ 2 + 0.8x + 5 What is the production for the maximum profit? units What is the profit?
Find the maximum profit and the number of units that must be produced and sold in...
Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that​ revenue, R(x), and​ cost, C(x), of producing x units are in dollars. ​R(x)=40x−0.1x^2, ​C(x)=4x+10 In order to yield the maximum profit of ​$__ , __ units must be produced and sold. (Simplify your answers. Round to the nearest cent as​ needed.)
A company's revenue from selling x units of an item is given as R=1900x−2x^2. If sales...
A company's revenue from selling x units of an item is given as R=1900x−2x^2. If sales are increasing at the rate of 50 units per day, how rapidly is revenue increasing (in dollars per day) when 360 units have been sold? ? dollars per day The cost of producing x units of stuffed alligator toys is C(x)=0.002x^2+7x+5000. Find the marginal cost at the production level of 1000 units. ? dollars/unit Suppose a product's revenue function is given by R(q)=−7q^2+600q ,...
The revenue and cost functions for a particular product are given below. The cost and revenue...
The revenue and cost functions for a particular product are given below. The cost and revenue are given in dollars, and x represents the number of units . R(x) = −0.2x2 + 146x C(x) = 66x + 7980 (a) How many items must be sold to maximize the revenue? (b) What is the maximum revenue? (c) Find the profit function. P(x) =   −.2x2+212x+7980 (d) How many items must be sold to maximize the profit? (e) What is the maximum profit?...
A company manufactures microchips. Use the revenue function R(x) = x(75-3x) and the cost function C(x)...
A company manufactures microchips. Use the revenue function R(x) = x(75-3x) and the cost function C(x) = 125+14x to answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1≤ x ≤ 20. (D) Find the value of x (to the nearest thousand chips) that produces the maximum profit. Find the maximum profit (to the nearest thousand dollars), and compare it to the maximum revenue....
The cost in dollars of producing x units of a commodity is: C(x)= 920 + 2x...
The cost in dollars of producing x units of a commodity is: C(x)= 920 + 2x - .02x2 + .00007x3 a) use the marginal analysis to estimate the cost of the 95th unit b) what is the actual cost of the 95th unit? Please explain in step by step actual cost : c(x) - c(x) = ? is c(95) - c(94) = correct? I am getting a different answer Thank you
5) The cost per unit of producing a product is 60 + 0.2x dollars, where x...
5) The cost per unit of producing a product is 60 + 0.2x dollars, where x represents the number of units produced per week. The equilibrium price determined by a competitive market is $220. How many units should the firm produce and sell each week to maximize its profit? b) What is the maximum profit?
A video game console manufacturer determines that in order to sell x units of a new...
A video game console manufacturer determines that in order to sell x units of a new console, the price per unit, in dollars, must be p=1750-2x . The manufacturer also determines that the total cost of producing x units is given by (Cx)=22500+15x . Find the total revenue function R(x) ? Find the total profit function P(x) ? How many units must the company produce and sell in order to maximize profit? (Use the second derivative test to verify this...
The marginal revenue of a company is given by r(x)=x^3-0.3x^2+0.1 and the marginal cost is given...
The marginal revenue of a company is given by r(x)=x^3-0.3x^2+0.1 and the marginal cost is given by c(x)=x\sqrt{-x^2+100} both measured in thousands of dollars per hundred units (x) produced. Find the total profit for x=1 to x=4 hundred units produced.
The​ cost, in​ dollars, of producing x belts is given by Upper C left parenthesis x...
The​ cost, in​ dollars, of producing x belts is given by Upper C left parenthesis x right parenthesis equals 805 plus 18 x minus 0.075 x squared. The​ revenue, in​ dollars, of producing and selling x belts is given by Upper R left parenthesis x right parenthesis equals 31 x Superscript six sevenths . Find the rate at which average profit is changing when 676 belts have been produced and sold. When 676 belts have been​ produced, the average profit...