Question

The total cost of producing x units of a product is estimated by the cost function

C = f(x) = 60x + 0.2x^{2} + 25,000

where C equals total cost measured in dollars.

a) This function is an example of what class of functions?

b) What is the cost associated with producing 25,000 units?

c) What is the cost associated with producing zero units? What term might be used to describe this cost?

Answer #1

^{2} + 25,000

a) This function is an example of what class of functions?

Ans: The given cost function C belongs to the quadration equations
class of functions and graph can be represented by a
parabola.

b) What is the cost associated with producing 25,000 units?

Ans: For knowing the cost of such a scenario, put x=25000 in the
cost function equation

C = f(x) = 60x + 0.2x^{2} + 25,000 = 60*25000 + 0.2 *
(25000)^{2} + 25000 = 12,65,25,000

c) What is the cost associated with producing zero units? What term
might be used to describe this cost?

Ans: For this scenario, put x = 0. Hence we get the cost as 25000.
This cost, which is independent of the number of units produced, is
called as fixed cost.

Suppose that the total cost function, in dollars, for the
production of x units of a product is given by the
equation shown below.
C(x) = 17640 + 65x +
0.4x2
Then the average cost of producing x items is
represented by the following equation.
C(x) =
total cost
=
17640
+ 65 + 0.4x
x
x
(a) Find the instantaneous rate of change of average cost with
respect to the number of units produced, at any level of
production....

If the total cost function for a product is C(x) = 9(x + 3)^3
dollars, where x represents the number of hundreds of units
produced, producing how many units will minimize average cost?
a) x= ?
b) Find the minimum average cost per hundred units.

If the total cost function for a product is C(x) = 8(x + 5)3
dollars, where x represents the number of hundreds of units
produced, producing how many units will minimize average cost? x =
hundred units Find the minimum average cost. (Round your answer to
two decimal places.) dollars per hundred units

The total cost of producing 1 unit of a product is given by
C(x, y) =
30 + 0.2x2 + 50y −
xy dollars
where x is the hourly labor rate and y is the
cost per pound of raw materials. The current hourly rate is $29,
and the raw materials cost $2 per pound.
(a) How will an increase of $1 per pound for the raw materials
affect the total cost?
The total cost will ---Select--- increase decrease by
$ ????...

A furniture company determines that its marginal cost function
for producing x tables is estimated by the function MC(x)=C(prime)
of (x) = 0.6x^2 - 2.4x + 50 dollars per table. If the total cost of
producing 25 tables is $1020. What is the total cost of producing
30 tables?

The marginal cost of a product can be thought of as the cost of
producing one additional unit of output. For example, if the
marginal cost of producing the 50th product is $6.20, it cost
$6.20 to increase production from 49 to 50 units of output. Suppose
the marginal cost C (in dollars) to produce x thousand mp3 players
is given by the function Upper C left parenthesis x right
parenthesis equals x squared minus 120 x plus 7500.C(x) =...

If the total cost function for a product is dollars, determine
how many units ? should be C(x)=40+9x+0.1x^{2} produced to minimize
the average cost per unit?

The total revenue function for a certain product is given by
R=590x dollars, and the total cost function for this product
is
C=15,000 +50x + x squared 2 dollars, where x is the number of
units of the product that are produced and sold.
a.
Find the profit function.
b.
Find the number of units that gives maximum profit.
c.
Find the maximum possible profit.

The cost of producing x units of a product is modeled
by the following.
C = 130 + 35x − 150
ln(x), x
≥ 1
(a)
Find the average cost function C.
C =
(b)
Find the minimum average cost analytically. Use a graphing
utility to confirm your result. (Round your answer to two decimal
places.)

The cost of producing x units of a product is modeled by the
following. C = 120 + 35x − 160 ln(x), x ≥ 1
(a) Find the average cost function C
(b) Find the minimum average cost analytically. Use a graphing
utility to confirm your result. (Round your answer to two decimal
places.)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 20 minutes ago

asked 22 minutes ago

asked 28 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago