Question

3) The marginal cost for producing x items can be given by the formula: C ′ ( x ) = 350 − 0.18 x. Find the total cost function if the cost of making 300 items is known to be $97,400.

a) What are the fixed costs?

b) How much would it cost to make 500 items?

Answer #1

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 function for producing x items is C(x) =
45000 + 25x - 0.10x^2. The revenue function R(x) = 750 -
0.60x^2.
a.Determine the production cost for the first 500 items.
b.The marginal cost function.
c.How fast is the cost growing when production is at 500
units.
d.The average cost per item for the first 500 items.
e.The marginal revernue function R'(x).
f.The profit function.
g.The marginal profit function.
h.What production level maximizes revenue.

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,...

Suppose that the cost of producing x units, C(x), is a linear
function. Furthermore, it is known the marginal cost is $1.50 and
that the cost of producing 50 units is $2,275.
a) Determine a formula for C(x)
b) Determine the fixed cost

The marginal cost of producing the xth box of CDs is
given by 10 − x/(x2 + 1)2. The
total cost to produce two boxes is $1,000. Find the total cost
function

For a certain company, the cost for producing x items is 50x+300
and the revenue for selling x items is 90x−0.5x2.
The profit that the company makes is how much it takes in
(revenue) minus how much it spends (cost). In economic models, one
typically assumes that a company wants to maximize its profit, or
at least wants to make a profit!
Part a: Set up an expression for the profit
from producing and selling x items. We assume that...

For a certain company, the cost for producing x items is 50x+300
and the revenue for selling x items is 90x−0.5x2. The
profit that the company makes is how much it takes in (revenue)
minus how much it spends (cost). In economic models, one typically
assumes that a company wants to maximize its profit, or at least
wants to make a profit!
Part a: Set up an expression for the profit
from producing and selling x items. We assume that...

For a certain company, the cost for producing x items is 50x+300
and the revenue for selling x items is 90x−0.5x2.
The profit that the company makes is how much it takes in
(revenue) minus how much it spends (cost). In economic models, one
typically assumes that a company wants to maximize its profit, or
at least wants to make a profit!
Part a: Set up an expression for the profit
from producing and selling x items. We assume that...

For a certain company, the cost of producing x items is 55x+300
and the revenue for selling x items is 95x-0.5^2. Part A: Set up an
expression for the profit from producing and selling x items. Part
B: Find two values of x that will create a profit $300. Part C: Is
it possible for the company to make a profit of $15000?

A company is producing tires for cars. The weekly cost of
producing x tires is given by:
C(x) = 60,000 +500x - 0.75x^2
Find and interpret the marginal cost at a production level of
300 tires a week.
At a production level of 300 tires a week the production costs
are increasing at a rate of $50 per tires.
It costs $142,500 to produce 300 tires a week.
At a production level of 300 tires a week the production costs...

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