Question

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

Answer #1

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

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 total revenue function for a certain product is given by
Requals=440440x dollars, and the total cost function for this
product is Cequals=20 comma 00020,000plus+4040xplus+x squaredx2
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 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 = 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.)

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.)

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....

For each cost function (given in dollars), find the cost,
average cost, and marginal cost at a production level of 1000
units; the production level that will minimize the average cost;
and the minimum average cost.
C(q) = 6,000 +
340q − 0.3q2 +
0.0001q3
(a) the cost, average cost, and marginal cost at a production
level of 1000 units
(b) the production level that will minimize the average cost
(Round your answer to the nearest integer.)
(c) the minimum...

The total cost of producing x units of a product is estimated by
the cost function
C = f(x) = 60x + 0.2x2 + 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?

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