ASU MAT 1035 Final Exam
Fall 2022
Instructor: Boone
Name ________________________________
Please provide exact answers unless asked to round. Please do independent work. Show as much work
as possible for the opportunity of credit/partial credit.
You are provided with two questions for each unit. Some questions do have multiple parts that must be
answered in their entirety to receive full credit for that question. Answer one question from each unit
listed below. Please make sure it is clear which question you are submitting from each unit so I grade
your exam accurately. Each question is worth 20 points.
Unit 1:
If I was able to make and sell 12 mandolins for a profit of $3000 (12 , 3000) or make and sell 20
mandolins for a profit of $4850 dollars (20 , 4850),
a) Assuming the profit function is linear, find the profit equation.
b) Find marginal profit (round to two decimal places if needed).
c) Based off of your linear equation, how much profit would we expect if we sold 30 mandolins (round
to two decimal places if needed)?
Unit 2:
Please do not find the solutions. Find the two equations you would use to solve the system of
equations. A retired couple has $300,000 to invest. They chose one relatively safe investment fund that
has an annual yield of 6% and another riskier investment that has a 12% annual yield. They want to earn
a total of $25,000 per year from the two accounts?
Unit 3:
1)
Find the derivatives of the following functions.
a)
??(??) = 7?? 3 + 4?? 2 ? 5?? + 287
b)
??(??) = (8?? 5 ? 4?? 2 ? 4)(2?? 2 + 1)
c)
?(??) =
5?? 2 +3
2???8
Unit 4:
Given the cost equation and price equation below, find the requested information below. (Recall you
may have saved a Desmos for this.)
??(??) = 25?? + 3000; ?? = 81 ? 0.04??
a) The number, ??, of units that produces maximum profit; (Round to nearest unit)
b) The price, ??, per unit that produces maximum profit (round to two decimal places if needed);
c) The maximum profit, ?? (round to two decimal places if needed).
Unit 5:
The link below might be found helpful for the following question. Please be sure to show your entries
into the TVM calculator below. If doing this by hand, please show your work.
https://www.jufinance.com/tvm/
You would like to create a nest egg for yourself of $4,500,000. You are currently 22 years old and plan
on retiring when you are 60. If you invest in a retirement plan with a medium-high risk level that
expects an 9.5% yearly return, how much would you have to contribute monthly to achieve this nest
egg?

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