Question

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, to 401
units?

The total cost increase if production were increased one unit is
:

.

Answer #1

The marginal cost is given by 2( 3q - 1)3 dollars per unit,
where q is the level of the production. By how much will the cost
increase if the level of the production is increased from 1 to 10
units

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 + 90x +
4x3/2
(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...

At a certain factory, the marginal cost is 3(q - 4)2
dollars when the level of production is q units. By how much will
the total manufacturing cost increase if the level of production is
rised from 6 units to 10 units?

When production is 4300, marginal revenue is 3.5 dollars per
unit and marginal cost is 3.25 dollars per unit. Do you expect
maximum profit to occur at a production level above or below
4300?
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Equation Editor
(Enter above or below.)
If production is increased by 70 units, what would you estimate
the change in profit would be?
dπ≈
equation editor
Equation Editor
dollars

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 marginal cost of producing the remarkable Apple iPad Pro is
?′(?)=3?2−16?+32 million dollars when producing
? million units. By how much will the total
manufacturing cost increase if the level of production is raised
from 1 million to 3 million units?

The marginal cost, in dollars per unit, for a company's portable
heater is C'(q) = 48 − 0.03q + 0.00002q2 and the marginal revenue
is R'(q) = 44 − 0.007q. Find the area A between the graphs of these
functions for 0 ≤ q ≤ 210. (Note that C'(q) > R'(q) for 0 ≤ q ≤
210. Round your answer to two decimal places.)

Assume that marginal revenue equals rising marginal cost at 100
units of output. At this output level, a firm's total fixed cost is
$500 and its total variable cost is $600. If the price of the
product were $3 per unit and the firm follows its optimal strategy,
the firm will earn an economic profit equal to?
a. -$600
b. -$500
c. $300
d. -$1,100
e. -$400

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) =...

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...

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