Question

If *C*(*x*) is the cost of producing *x*
units of a commodity, then the average cost per unit is
*a*(*x*) = *C*(*x*)/*x*.
Consider the *C*(*x*) given below. Round your answers
to the nearest cent.

*C*(*x*) = 54,000 + 90*x* +
4*x*^{3/2}

(a) Find the total cost at a production level of 1000
units.

.......................................$

(b) Find the average cost at a production level of 1000
units.

................................dollars per unit

(c) Find the marginal cost at a production level of 1000
units.

........................... dollars per unit

(d) Find the production level that will minimize the average
cost.

............................... units

(e) What is the minimum average cost?

.................................dollars per unit

Answer #1

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 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 cost function for production of a commodity is
C(x) = 352 + 29x − 0.06x2 + 0.0001x3.
(a) Find C'(100).
Interpret
C'(100).
This is the cost of making 100 items.This is the rate at which
costs are increasing with respect to the production level when
x = 100. This is the amount of
time, in minutes, it takes to produce 100 items.This is the rate at
which the production level is decreasing with respect to the cost
when x =...

The marginal cost C′(q) (in dollars per unit) of producing q
units is given in the following table.
q
0
100
200
300
400
500
600
C′(q)
26
22
20
26
33
38
46
Round your answers to the nearest integers.
(a) If fixed cost is $17,000, estimate the total
cost of producing 400 units.
The cost of producing 400 units is:
(b) To the nearest dollar, how much would the
total cost increase if production were increased one unit,...

Given the cost function: C(x) = 1000 + 96x +
2x3/2
Please do the following:
1. Find the cost, average cost, and marginal cost at a
production level of 1000 units
2. Find the production level that will minimize the average
cost
3. Find the minimum average cost
3. Find the minimum average cost
Please show your step by step calculation.
Thank you.

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.

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

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

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) =...

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