Question

For the given cost function C ( x ) = 44100 + 700 x + x 2 C ( x ) = 44100 + 700 x + x 2 find: a) The cost at the production level 1850 b) The average cost at the production level 1850 c) The marginal cost at the production level 1850 d) The production level that will minimize the average cost e) The minimal average cost

math

Answer #1

For the given cost function
C(x)=57600+300x+x2C(x)=57600+300x+x2 find:
a) The cost at the production level
1500
b) The average cost at the production level
1500
c) The marginal cost at the production level
1500
d) The production level that will minimize the average
cost
e) The minimal average cost

For the given cost function C ( x ) = 14400 + 300 x + x^2 find:
a) The production level that will minimize the average cost b) The
minimal average cost

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.

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...

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 revenue function of a company is given by
R(x)=-2x^2+25x+150, the cost function is given by C(x)=13x+100
a. Find the marginal cost and marginal revenue function.
b. Find the production level x where the profit is maximized.
Then find the maximum profit.

The cost function for a certain company is C = 20x + 700 and the
revenue is given by R = 100x − 0.5x2. Recall that profit is revenue
minus cost. Set up a quadratic equation and find two values of x
(production level) that will create a profit of $700.

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 price-demand equation and the cost function for the
production of 4K Tv’s are given respectively. x = 9000 − 30p and
c(x) = 150000 + 30x Where x is the number of 4k TV’s that can be
sold at a price p and c(x) is the total cost in dollars in
producing x Tv’s.
a) Express the price p as a function of demand x, and find the
domain of this function.
b) Find the marginal cost function
c)...

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