Exam 8: Functions of Several Variables
Exam 1: Functions and Linear Models100 Questions
Exam 2: Nonlinear Functions and Models88 Questions
Exam 3: Introduction to the Derivative140 Questions
Exam 4: Techniques of Differentiation With Applications106 Questions
Exam 5: Further Applications of the Derivative85 Questions
Exam 6: The Integral71 Questions
Exam 7: Further Integration Techniques and Applications of the Integral117 Questions
Exam 8: Functions of Several Variables133 Questions
Exam 9: Trigonometric Models66 Questions
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Calculate
. Choose the correct letter for each question. 


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Free
(Matching)
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Correct Answer:
Solve the given problem by using substitution. Find the minimum value of
subject to
.


Free
(Multiple Choice)
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Correct Answer:
E
For the function
find
. Round to the nearest whole number if necessary.


Free
(Multiple Choice)
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Correct Answer:
B
Cobb-Douglas productivity functions have the form
where P stands for the number of items produced per year, x is the number of employees, and y is the annual operating budget. The numbers K and a are constants that depend on the situation we are looking at, with
How many items will be produced per year by a company that has 200 employees and an annual operating budget of $100,000 if K = 1,000 and a = 0.6? (Round your answer to one significant digit.)


(Short Answer)
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Your latest CD - ROM drive is expected to sell between
units if priced at p . You plan to set the price between $300 and $400. What are the maximum and minimum possible revenues you can make? What is the average of all the possible revenues you can make?

(Multiple Choice)
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Solve the given problem by using substitution. Minimize
subject to
with
.



(Multiple Choice)
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Find the point on the given plane closest to (1,1,0).
NOTE: Please enter your answer in the form ( x , y , z ).

(Essay)
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Use Lagrange Multipliers to solve the problem. Find the maximum value of
subject to
.


(Multiple Choice)
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Calculate
and evaluate them all at
. Choose the correct letter for each question. 



Premises:

Responses:



Correct Answer:
Premises:
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(Matching)
4.8/5
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Solve the given problem by using substitution. Find the minimum value of
subject to
.


(Multiple Choice)
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At what point on the given surface is the quantity
a minimum? (The method of Lagrange multipliers can be used here.) 


(Multiple Choice)
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Your weekly cost (in dollars)to manufacture x cars and y trucks is
What is the marginal cost of a car?

(Multiple Choice)
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(28)
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