Question

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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Equation Editor

(B) Find the profit function in terms of x.

P(x)=

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Equation Editor

(C) Find the value of xx where the graph of P(x) has a horizontal
tangent line.

x values =

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Equation Editor

(D) List all the xx values of the break-even point(s).

If there are no break-even points, enter 'NONE'.

List of xvalues =

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Equation Editor

Answer #1

Given revenue function and cost functions are

(A) The value of x at which R(x) has horizontal tangent line is the value of x at which R'(x)=0

(B) Profit function is

(C)The value of x at which P(x) has horizontal tangent line is the value of x at which P'(x)=0

(D) Break-even point is those at which profit is zero.

(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 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...

A manufacturer has determined that the revenue from the sale of
tiles is given by R(x) = 34x – 0.03x2 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.

1 point) The price-demand and cost functions for the production
of microwaves are given as
p=280−x40p=280−x40
and
C(x)=20000+100x,C(x)=20000+100x,
where xx is the number of microwaves that can be sold at a price
of pp dollars per unit and C(x)C(x) is the total cost (in dollars)
of producing xx units.
(A) Find the marginal cost as a function of xx.
C′(x)C′(x) =
(B) Find the revenue function in terms of xx.
R(x)R(x) =
(C) Find the marginal revenue function in terms...

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?...

Suppose that
f(x)=4x2ln(x),x>0.f(x)=4x2ln(x),x>0.
(A) List all the critical values of f(x)f(x). Note: If there are
no critical values, enter 'NONE'.
(B) Use interval notation to indicate where f(x)f(x) is
increasing.
Note: Use 'INF' for ∞∞, '-INF' for −∞−∞, and use
'U' for the union symbol. If there is no interval, enter
'NONE'.
Increasing:
(C) Use interval notation to indicate where f(x)f(x) is
decreasing.
Decreasing:
(D) List the xx values of all local maxima of f(x)f(x). If there
are no local...

The revenue and cost function are given. R(x) = 35x − 0.35x2;
C(x) = 4x + 9
(a) Determine the break-even points. (Round your answers to two
decimal places.)
(x, y) = (smaller x-value)
(x, y) = (larger x-value)
(b) Determine how much revenue must be generated to reach the
break-even points. (Enter your answers as a comma-separated list.
Round your answers to two decimal places.)

Let
fx=x2+12x-3
Find the equation of the line tangent to the graph of
f(x) at x=3
Find the value(s) of x where the tangent line is
horizontal.
2.The total sales of a video game months after being introduced
is given by the function
St=5ex2+ex
Find
S(10) and S'(10). What do these values represent
in terms of sales?
Use these
results to estimate the total sales at t=11 months after
the games release.

Suppose that a company has a fixed cost of $150 per day and a
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x. Sketch the cost and revenue functions and locate the regions of
profit and loss. You should find the break even points before you
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Acrosonic's production department estimates that the total cost
(in dollars) incurred in manufacturing x ElectroStat
speaker systems in the first year of production will be represented
by the following function, where R(x) is the
revenue function in dollars and x denotes the quantity
demanded. Find the following functions (in dollars) and compute the
values (in dollars).
C(x) = 110x +
27,000 and R(x)
= −0.04x2 + 800x
(a)Find the profit function P.
(b)Find the marginal profit function P '.
(c)Compute the following...

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