Question

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 2001st disc? What is the marginal cost when x = 2000?

Answer #1

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?

Marginal Cost
The total weekly cost (in dollars) incurred by Lincoln Records
in pressing x compact discs is given by the following
function.
C(x) = 2000 + 2x −
0.0001x2 (0 ≤ x
≤ 6000)
(a)
What is the actual cost incurred in producing the 1071st and the
1991st disc? (Round your answers to the nearest cent.)
1071st disc$ 1991st disc$
(b)
What is the marginal cost when x = 1070 and 1990?
(Round your answers to the nearest cent.)
1070$...

1. Suppose the total weekly cost (in dollars) of producing x
fuel tanks is given by 2 C x x x ( ) 12,000 80 0.04 = + − for x in
the interval (0,1500)
a) Over what intervals will the total weekly cost be increasing
and when will it be decreasing?
Increasing: _______________________ Decreasing:
_________________________
b) When will the total weekly cost be at its max and what will
the maximum cost be? State answer using appropriate units.
Solution:...

7. Suppose the cost, in dollars, of producing x items is given
by the function C(x) = 1/6x3+ 2x2+ 30.
Current production is at x = 9 units.
(a) (3 points) Use marginal analysis to find the marginal cost
of producing the 10th unit.
(b) (3 points) Find the actual cost of producing the 10th
unit.

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

The weekly demand for DVDs manufactured by a certain media
corporation is given by
p = −0.0004x2 + 70
where p denotes the unit price in dollars and
x denotes the quantity demanded. The weekly total cost
function associated with producing these discs is given by
C(x) = −0.001x2 + 19x + 4000
where C(x) denotes the total cost (in dollars)
incurred in pressing x discs. Find the production level
that will yield a maximum profit for the manufacturer.
Hint:...

A pen manufacturer determined that the total cost in dollars of
producing x dozen pens in one day is given by C(x) = 350 + 2x -
0.01x2, 0 ≤ x ≤ 100 a. Find the expression for marginal cost. b.
Find the level of output (x) where the marginal cost is minimum. c.
Find the marginal cost at a production level of where the marginal
cost is minimum

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?

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...

The joint cost (in dollars) for two products is given by
C(x, y) =
25 + x2 + 3y +
2xy
where x represents the quantity of product X
produced and y represents the quantity of product
Y produced.
(a) Find the marginal cost with respect to x if 7 units
of product X and 11 units of product Y are
produced.
$ ???
(b) Find the marginal cost with respect to y if 7 units of
product X and...

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