Marginal revenue, cost, and profit, Let R ( x ) , C ( x ) , and P ( x ) be, respectively, the revenue cost and profit in dollars from the production and sale of x items If R ( x ) = 5 x and C ( x ) = 0.001 x 2 + 1.2 x + 60 , Find each of the following a. P ( x ) b. R ( 100 ) , C ( 100 ) , and P ( 100 ) c. R ' ( x ) , C ' ( x ) , and P ' ( x ) d. R ' ( 100 ) , C ' ( 100 ) , and P ' ( 100 ) e. Describe what each quantity in parts ( b ) and ( d ) represents
Marginal revenue, cost, and profit, Let R ( x ) , C ( x ) , and P ( x ) be, respectively, the revenue cost and profit in dollars from the production and sale of x items If R ( x ) = 5 x and C ( x ) = 0.001 x 2 + 1.2 x + 60 , Find each of the following a. P ( x ) b. R ( 100 ) , C ( 100 ) , and P ( 100 ) c. R ' ( x ) , C ' ( x ) , and P ' ( x ) d. R ' ( 100 ) , C ' ( 100 ) , and P ' ( 100 ) e. Describe what each quantity in parts ( b ) and ( d ) represents
Solution Summary: The author calculates the value of the total profit P(x).
Marginal revenue, cost, and profit, Let
R
(
x
)
,
C
(
x
)
,
and
P
(
x
)
be, respectively, the revenue cost and profit in dollars from the production and sale of x items If
R
(
x
)
=
5
x
and
C
(
x
)
=
0.001
x
2
+
1.2
x
+
60
,
Find each of the following
a.
P
(
x
)
b.
R
(
100
)
,
C
(
100
)
,
and
P
(
100
)
c.
R
'
(
x
)
,
C
'
(
x
)
,
and
P
'
(
x
)
d.
R
'
(
100
)
,
C
'
(
100
)
,
and
P
'
(
100
)
e. Describe what each quantity in parts (b) and (d) represents
2. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.006.MI.
Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
7y2
y²
11
dy
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3. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.009.
Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
tan³(12/z) dz
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4. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.014.
Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.)
5 sinб12x dx
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