Business: average revenue, cost, and profit. Given revenue and cost functions R ( x ) = 50 x and C ( x ) = x 2 / 3 + 750 where x is the number of Bluetooth speakers produced and R ( x ) and C ( x ) are in dollars, find the following: a. a) the average revenue, the average cost, and the average profit when x speakers are produced; b. b) the rate at which average cost id changing when 8 speakers are produced.
Business: average revenue, cost, and profit. Given revenue and cost functions R ( x ) = 50 x and C ( x ) = x 2 / 3 + 750 where x is the number of Bluetooth speakers produced and R ( x ) and C ( x ) are in dollars, find the following: a. a) the average revenue, the average cost, and the average profit when x speakers are produced; b. b) the rate at which average cost id changing when 8 speakers are produced.
Solution Summary: The author calculates the average revenue, average cost, and average profit when x speakers are produced.
Business: average revenue, cost, and profit. Given revenue and cost functions
R
(
x
)
=
50
x
and
C
(
x
)
=
x
2
/
3
+
750
where x is the number of Bluetooth speakers produced and
R
(
x
)
and
C
(
x
)
are in dollars, find the following:
a. a) the average revenue, the average cost, and the average profit when x speakers are produced;
b. b) the rate at which average cost id changing when 8 speakers are produced.
Inverse laplace transform
Lect: Huda I
H.w
1- F(S)=
A- Find - F(s) of the following
S
(s+1)5
1
2- F(s)
s² (s-a)
5+5
3- F(s)=
s2+4s+3
1
4- F(s)=
(s+2)2(s-2)
3s2-7s+5
5- F(s)=
(s-1)(s2-5s+6)
Inverse laplace transform
Lect :Huda I
H.w
A- Find L-1 F(s) of the following
1- F(S)=
2- F(s)-
S
(+1)5
s² (s-a)
5+5
s2+4s+3
3- F(s)-
1
4- F(s)-
(s+2)2(s-2)
3s2-7s+5
5- F(s)-
(s-1)(s2-55+6)
B-Solve the D.E of the following:
1- y'+3y+2fy dt = f(t) for y(0)-1 if f(t) is the function
whose graph is shown below
2
1 2
2-y+4y-u(t)
for y(0)=y'(0)=0
3- y"+4y'+13y= e−2t sin3t
for y(0)-1 and y'(0)=-2
17
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