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 - 3x^2 +4x +1

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

Answer #1

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 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 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 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?...

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 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?

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 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...

a) Find the values of x and y in order to maximize the value of
Q.
2x+y=10
3x^2y=Q
b) Find the number of units you will have to produce if you want
to
maximize profit if the cost and price equations are given below.
Then find the maximum
profit made. (6 points)
C(x)= 4x+10
R(x)= 50x-0.5x^2
Units Produced: ____________________
Maximum Profit: ____________________
(Please show all work possible)

The weekly cost (in dollars) of producing x compact discs is
given by C(x) = 2000 + 2x − 0.0001x^2,
where x stands for the number of units produced. What is the
actual cost incurred in producing the 1001st disc? What is the
marginal cost when x = 1000?

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