Question

find the minimum cost of producing 50,000 units of a product, where
X is the number of units labor ( at 84$ per unit) and y is the
number of units of capital ( at 72$ per unit)

P(x) = 100(x^0.6)(y^0.4)

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.

Find the number of units x that produces the minimum
average cost per unit C in the given equation.
C = 0.08x3 + 55x2 + 1395

Production The production function for a company is given by
f(x, y) = 100x0.6y0.4 where x is the number of units of labor (at
$72 per unit) and y is the number of units of capital (at $60 per
unit). The total cost for labor and capital cannot exceed
$100,000.
(a) Find the maximum production level for this manufacturer.
(Round your answer to the nearest integer.)
(b) Find the marginal productivity of money. (Round your answer
to three decimal places.)...

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

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 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.)

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?

The total cost of producing 1 unit of a product is given by
C(x, y) =
30 + 0.2x2 + 50y −
xy dollars
where x is the hourly labor rate and y is the
cost per pound of raw materials. The current hourly rate is $29,
and the raw materials cost $2 per pound.
(a) How will an increase of $1 per pound for the raw materials
affect the total cost?
The total cost will ---Select--- increase decrease by
$ ????...

Beta Company produced 2,000 units of product X and 800 units of
product Y. Product X uses $3 of direct materials per unit and $20
of direct labor per unit. Product Y uses $5 of direct materials per
unit and $30 of direct labor per unit. Total indirect overhead
costs were $32,000, allocated based on direct labor dollars. What
are the allocated overhead costs for X and Y?

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