Question

A manufacturer has determined that the revenue from the sale of
tiles is given by R(x) = 34x – 0.03x^{2} dollars. The cost
of producing x tiles in C(x) = 10,500 + 55x dollars. Find the
profit function and any break-even points? Find P(200), P(400), and
P(600)? Find the marginal profit function, P¢(x)? Find P¢(200),
P¢(400), P¢(600)? draw the graph of P(x) and P¢(x) and explain both
graphs.

Answer #1

please find all answer

The total cost and the total revenue (in dollars) for the
production and sale of x ski jackets are given by
C(x)=26x+20,440
and
R(x)=200x-.2x^2 for 0
(A)
Find the value of x where the graph of R(x) has a horizontal
tangent line.
(B)
Find the profit function P(x).
(C)
Find the value of x where the graph of P(x) has a horizontal
tangent line.
(D)
Graph C(x), R(x), and P(x) on the same coordinate system for
0less than or equals≤xless...

Cost, revenue, and profit are in dollars and x is the
number of units.
Suppose that the total revenue function for a product is
R(x) =
55x
and that the total cost function is
C(x) = 2200 +
35x + 0.01x2.
(a) Find the profit from the production and sale of 500
units.
(b) Find the marginal profit function
(c) Find MP at x = 500.
Explain what it predicts.
The total profit will ------ by approximately $------- on the...

total revenue and total cost functions for the production and
sale of xTV's are given as
R(x)=130x−0.7x2
and
C(x)=3950+21x.
(A) Find the value of x where the graph of R(x)R(x) has a
horizontal tangent line. xvalues is
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(B) Find the profit function in terms of x.
P(x)=
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(C) Find the value of xx where the graph of P(x) has a horizontal
tangent line.
x values =
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(D) List...

The management of a watch company has determined that the daily
marginal revenue function associated with producing and selling
their travel clocks is given by:
R ′ (x) = - 0.08x + 24, where x denotes the number of units
produced and sold and R ′ (x) is measured in dollars/unit.
a) Use the Marginal revenue function to estimate the revenue from
the sale of the 200th clock. Round your answer down to the nearest
penny.
b) Determine the...

(1 point) The total revenue and total cost functions for the
production and sale of x x TV's are given as R(x)=120x−0.1x2 R ( x
) = 120 x − 0.1 x 2 and C(x)=3380+17x. C ( x ) = 3380 + 17 x . (A)
Find the value of x x where the graph of R(x) R ( x ) has a
horizontal tangent line. x x values is (B) Find the profit function
in terms of x x...

The price/unit from the sale of X units in a monopoly
market is given by:
p = 1080X
The Total Cost($) is given by: C(X) = 20X^3 +
10,000
Find the Total Revenue Function (price/unitx# units
sold).
Find the Profit Function
Find the Marginal Profit Function
Find all inflection points, if any
Determine if any of the inflection points represent a
point of diminishing returns for the company.

* City Computers has determined that the price-demand and
revenue functions are given by p(x) = 2,000 – 6x and
R(x) = x(2,000 – 6x), where x is in thousands of computers.
This means that R(x) is measured in thousands of dollars.
Additionally we know:
* The fixed cost is $100,000.
* The variable cost is $250 per computer.
This means that the cost function is given by C(x) = 100 +
250x. Also again C(x) is measured in thousands...

Write a word story for this problem
If total revenue received from the sale of x items is given by
R(x) =10ln(3x+1) while the total cost to produce x items is C(X)
=X/3
find the following.
(a) The marginal revenue
(b) The profit function P(x)
(c) The marginal profit when
X=30
(d) Interpret the results of part (c).

Cost, Revenue, and Profit Functions
Linear Function:
A calculator manufacturer is calculating their monthly cost,
revenue, and profit
The monthly cost of manufacturing particular type of calculator
is C(x) = 150000+25x.
a) What is the fixed cost?
b) what is the variable cost?
c) What is the cost for making 2000 calculators per month?
d) What is the cost for making 5000 calculators per month?
e) What is the cost for making 10000 calculators per month?
The manufacturer sells the...

Cost, revenue, and profit are in dollars and x is the
number of units.
Suppose that the total revenue function is given by
R(x) = 48x
and that the total cost function is given by
C(x) = 70 +
29x + 0.1x2.
(a) Find P(100).
P(100) =
(b) Find the marginal profit function MP.
MP =
(c) Find MP at x = 100.
MP(100) =
Explain what it predicts.
At x = 100, MP(100) predicts that cost will
increase by...

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