MATH 111 Final: MATH 111 UW Fall 15 Final Loveless
Math 111 - Fall 2015
Final Exam
December 12, 2015
Name:
Section:
Student ID Number:
1 16
2 14
3 13
4 11
5 10
6 12
7 12
8 12
Total 100
•You are allowed to use a Ti-30x IIS Calculator (only this model!), a ruler, and one hand-written
8.5 by 11 inch page of notes. If we see a different calculator model, we will take it from you and
you can get it back from us at the end of the final.
•Check that your exam contains all the problems listed above.
•You must show your work on all problems. The correct answer with no supporting work will result
in NO credit. If you use a guess-and-check, or calculator, method when an algebraic method is
available, you may not receive full credit.
•If you need more room, use the back of the page and indicate to the grader that you have done
so.
•Raise your hand if you have a question. We will only clarify the wording of a question, we cannot
and will not comment on your work. So don’t raise your hand fishing for answers.
•There are multiple versions of the exam. Don’t be tempted to copy off a classmate.
Any student found engaging in academic misconduct, even if the copying is only on
one part of one problem, will receive a score of 0 on the entire exam and will meet
in from of the academic misconduct board. I have already submitted cases of copying this
quarter on the midterms and I submitted several cases of cheating last year on the final. Show
your work and keep your eyes down and on your paper! If we see your eyes wandering we will
warn you only once before taking your exam from you.
•You have 2 hours and 50 minutes to complete the exam.
•Scores and grades will be posted on Friday at the end of final’s week. You will receive an email
from Dr. Loveless when the grades have been posted.
GOOD LUCK!!
1. (16 points) The following graph shows total cost and variable cost in thousand dollars for selling
xthousand items.
For each part, clearly explain and label your work. Be as accurate as possible.
(a) Find the quantity at which average variable cost is equal to 6 dollars/item.
x=thousand items
(b) Find the average cost to produce x= 8 thousand items (give units for your answer).
AC(8) =
(c) Find all quantities at which marginal cost is 3 dollars per item.
(list answers) x=thousand items
(d) For both parts below, the selling price is fixed at p= 4.50 dollars/item.
i. At what quantity is profit maximized?
x=thousand items
ii. What is the profit if you sell 16 thousand items?
Profit = thousand dollars
2. (14 points) The graph below shows the price per share, S(t), (in dollars) for a particular stock
after tmonths.
For each part, clearly label your work in the graph and show your computations in the problems.
(a) Find the largest overall rate of change (That is, find the largest value of S(t)−S(0)
t).
dollars per month
(b) Compute the change in stock price over the first 8 months.
dollars
(c) As accurately as possible, estimate the rate of change in the stock value over the first day of
the 4th month. In other words, what is the rate from 4 to about 4.03? (Give units)
S(4.03)−S(4)
0.03 ≈
(d) Another stock, R(t), also starts at a value of 10 dollars, but it increases at a constant rate
of 1.50 dollars per month. Find all times (after t= 0) when the two stocks have the same
value.
(list answers) t=months
Document Summary
Total 100: you are allowed to use a ti-30x iis calculator (only this model! The correct answer with no supporting work will result in no credit. We will only clarify the wording of a question, we cannot and will not comment on your work. So don"t raise your hand shing for answers: there are multiple versions of the exam. Don"t be tempted to copy o a classmate. Any student found engaging in academic misconduct, even if the copying is only on one part of one problem, will receive a score of 0 on the entire exam and will meet in from of the academic misconduct board. I have already submitted cases of copying this quarter on the midterms and i submitted several cases of cheating last year on the nal. Show your work and keep your eyes down and on your paper! You will receive an email from dr. loveless when the grades have been posted.
