Question

Find the minimum value of the average cost for the given cost function on the given intervals.

Upper C left parenthesis x right parenthesis equals x cubed plus 36 x plus 432C(x)=x3+36x+432

Answer #1

The cost, in dollars, of producing x belts is given by Upper C
left parenthesis x right parenthesis equals 805 plus 18 x minus
0.075 x squared. The revenue, in dollars, of producing and
selling x belts is given by Upper R left parenthesis x right
parenthesis equals 31 x Superscript six sevenths . Find the rate at
which average profit is changing when 676 belts have been produced
and sold. When 676 belts have been produced, the average profit...

Utility function of an individual is given by begin mathsize
12px style U equals f left parenthesis x comma y right parenthesis
equals X cubed Y to the power of 4 end style. find out the optimal
quantities of the two goods, if it is given that price of good X is
N$8 per unit and price of good Y is N$4 per unit and income of the
individual is equal to N$1200?

Let X represent the number of homes a real estate agent sells
during a given month. Based on previous sales? records, she
estimates that
Upper P left parenthesis 0 right parenthesis equals
0.63P(0)=0.63?,
Upper P left parenthesis 1 right parenthesis equals
0.24P(1)=0.24?,
Upper P left parenthesis 2 right parenthesis equals
0.09P(2)=0.09?,
Upper P left parenthesis 3 right parenthesis equals
0.03P(3)=0.03?,
Upper P left parenthesis 4 right parenthesis equals
0.01P(4)=0.01?,
with negligible probability for higher values of
x.a. Explain why it...

The cost C, in dollars, of renting a moving truck for a day is
given by the function
Upper C left parenthesis x right parenthesis equals 0.25 x plus
40 comma
where x is the number of miles driven.
(a) What is the cost if a person drives
x equals 200
miles?
(b) If the cost of renting the moving truck is
$150
,
how many miles did the person drive?
(c) Suppose that a person wants the cost to...

1) Find the absolute maximum value and the absolute
minimum, if any, of the given function. f(x) = 2x 3 − 3x 2 − 36x +
5 on [−1, 4]
2) A manufacturer of a certain commodity has estimated
that her profit in thousands of dollars is given by the expression
−2x 2 + 14x−6 where x (in thousands) is the number of units
produced. What is the maximum profit the manufacturer could realize
on the commodity?

Find the average value of the function over the given interval
and all values of x in the interval for which the function
equals its average value. (Round your answer to three decimal
places.)
f(x) = 4x3 − 3x2, [−1,
3]
(x, y) =

Determine whether the given function has a maximum value or a
minimum value, and then find the value. f(x) = -x2+ 6x -
4

Construct a scatterplot and identify the mathematical model that
best fits the data shown below. Let x represent the year since
1959, with 1960 coded as
xequals=1,
1973 coded as
xequals=14,
1986 coded as
xequals=27,
and so on. Let y represent the subway fare.
Year
1960
1973
1986
1995
2002
2003
Subway Fare
0.150.15
0.350.35
0.900.90
1.351.35
1.501.50
1.951.95
Choose the correct graph below.
A.
05003xy
A scatterplot has a horizontal x-scale from 0 to 50 in intervals
of 5...

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...

One measure of living standards in country A is given by the
following formula.
Upper L left parenthesis t right parenthesis equals 5 plus 4 e
Superscript 0.17 tL(t)=5+4e0.17t
In this formula t is the number of years since 1982. Find L to
the nearest hundredth for each year.
(a)19871987
(b)19941994
(c)2007

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