7. The cost per computer produced at a factory depends on how many computers the factory produces in a day. The cost function is modeled by C(n)=n² -n+ 200 , where n is the number of computers produced in %3D 500 a day and C(n) is the unit cost, in dollars per computer. (a) Calculate C(50) and give an interpretation of (b) Does the cost have a minimum or maximum value? Explain. Use your calculator to find it. your answer in terms of the scenario described. (c) Based on (b), can this function have any real zeroes? Explain your thought process.
7. The cost per computer produced at a factory depends on how many computers the factory produces in a day. The cost function is modeled by C(n)=n² -n+ 200 , where n is the number of computers produced in %3D 500 a day and C(n) is the unit cost, in dollars per computer. (a) Calculate C(50) and give an interpretation of (b) Does the cost have a minimum or maximum value? Explain. Use your calculator to find it. your answer in terms of the scenario described. (c) Based on (b), can this function have any real zeroes? Explain your thought process.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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How would you solve number 7?
Transcribed Image Text:AMAIE A
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uide
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APPLICATIONS
6.
The height of an object that is traveling through the air can be well modeled by a quadratie function that
opens downward. An object is fired upward and its height in feet above the ground is given by
h(1) =-161 + 64/ + 80
where the input, t, is the time, in seconds, the object has been in the air
(a) Using your calculator, sketch a graph of the object's
height for all times where it is at or above the
ground.
160
140
120
(b) What is its maximum height in feet?
100
80
60
(c) At what time does it hit the ground?
40
20
5
2 3
Time, t, seconds
4
(d) Over what time interval is its height increasing?
BOPE
7. The cost per computer produced at a factory depends on how many computers the factory produces in a day.
-n² -n+ 200, where n is the number of computers produced in
500
The cost function is modeled by C(n)=-
OPEW
a day and C(n) is the unit cost, in dollars per computer.
31 Di
dl Cap
-877
(b) Does the cost have a minimum or maximum
value? Explain. Use your calculator to find it.
(a) Calculate C(50) and give an interpretation of
your answer in terms of the scenario described.
(c) Based on (b), can this function have any real zeroes? Explain your thought process.
COMMON CORE ALGEBRA I, UNIT #8 – QUADRATIC FUNCTIONS AND THEIR ALGEBRA - LESSON #2
EMATHINSTRUCTION, RED HOOK, NY 12571, © 2013
「三
Height above the ground, h, in feet
OPENE
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