Check Point 9 A company is planning to manufacture wheelchairs that are light, fast, and beautiful. The fixed monthly cost will be $500,000 and it will cost $400 to produce each radically innovative chair. Write the cost function, C, of producing x wheelchairs. Write the average cost function, C ¯ , of producing x wheelchairs. Find and interpret C ¯ ( 1000 ) , C ¯ ( 10 , 000 ) , and C ¯ ( 100 , 000 ) . What is the horizontal asymptote for the graph of the average cost function, C ¯ ? Describe asymptote for the graph of the average cost function, C ¯ ? Describe what this represents for the company.
Check Point 9 A company is planning to manufacture wheelchairs that are light, fast, and beautiful. The fixed monthly cost will be $500,000 and it will cost $400 to produce each radically innovative chair. Write the cost function, C, of producing x wheelchairs. Write the average cost function, C ¯ , of producing x wheelchairs. Find and interpret C ¯ ( 1000 ) , C ¯ ( 10 , 000 ) , and C ¯ ( 100 , 000 ) . What is the horizontal asymptote for the graph of the average cost function, C ¯ ? Describe asymptote for the graph of the average cost function, C ¯ ? Describe what this represents for the company.
Solution Summary: The author calculates the cost function C of producing x wheelchairs if the fixed monthly cost is 500,000 and it costs the amount of
Check Point 9 A company is planning to manufacture wheelchairs that are light, fast, and beautiful. The fixed monthly cost will be $500,000 and it will cost $400 to produce each radically innovative chair.
Write the cost function, C, of producing x wheelchairs.
Write the average cost function,
C
¯
, of producing x wheelchairs.
Find and interpret
C
¯
(
1000
)
,
C
¯
(
10
,
000
)
,
and
C
¯
(
100
,
000
)
.
What is the horizontal asymptote for the graph of the average cost function,
C
¯
? Describe asymptote for the graph of the average cost function,
C
¯
1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in
feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b)
the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the
8-second period.
t
0 2
4 6 8
V
10 15
12 10 16
2. Find the midpoint rule approximation for
(a) n = 4
+5
x²dx using n subintervals.
1° 2
(b) n = 8
36
32
28
36
32
28
24
24
20
20
16
16
12
8-
4
1
2
3
4
5
6
12
8
4
1
2
3
4
5
6
=
5 37
A 4 8 0.5
06
9
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
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