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Answer the 11 questions in the attached document. Show work clearly where (*) indicates. Circle your final answer.
Math 129: Managerial Pre-Calculus
Name: ___________________________
Chapter 2 Exam
Date:_______________________
Show work clearly where (*) indicates. Circle your final answer.
1. Find the equation of the line that passes through (3, 4) and is parallel to the x-axis. (1 pt)
2. Find the equation of the line that passes through the points (1, 2) and (3, 4). Write your answer
in slope-intercept form. (3 pt)*
3. Find the equation of the line that passes through the point (1, 3) and is parallel to the line passing
through the points (2, 3) and (2, 5). Write your answer in slope-intercept form. (3 pt)*
4. Find the equation of the line that passes through the point (4, 2) and is perpendicular to the line
4𝑥 + 5𝑦 − 15 = 0. Write your answer in slope-intercept form. (3 pt)*
Math 129: Managerial Pre-Calculus
Exam 1 – Chapter 2
Show work clearly where (*) indicates. Circle your final answer.
5. Find the domain of the following functions. (2 pt each)*
A)𝑓(𝑥) =
𝑥−4
𝑥 2 −𝑥−6
B) 𝑓(𝑥) = 4√3𝑥 − 8 + 5
6. Sketch the graph of the following function. (2 pts)
−𝑥 + 5 𝑖𝑓 𝑥 < 2
𝑓(𝑥) = {
2𝑥 + 1 𝑖𝑓 𝑥 ≥ 2
Math 129: Managerial Pre-Calculus
Exam 1 – Chapter 2
Show work clearly where (*) indicates. Circle your final answer.
7. Evaluate (f o g)(9).
(2 pt) *
𝑓(𝑥) = 𝑥 2 + 5
𝑔(𝑥) = 2√𝑥 − 2
8. AutoTime, a manufacturer of electronic digital timers, has a monthly fixed cost of $48,000 and a
production cost of $8 for each timer manufactured. The timers sell for $14 each.
a. What is cost function? (1 pt)
b. What is the revenue function? (1 pt)
c. What is the profit function? (1 pt)*
d. Compute the profit (or loss) corresponding to production levels of 4000, 6000, and 10,000
timers. (3 pts)*
Math 129: Managerial Pre-Calculus
Exam 1 – Chapter 2
Show work clearly where (*) indicates. Circle your final answer.
9. A division of Carter Enterprises produces income tax apps for smartphones. The monthly fixed costs
incurred by the division are $25,000, and the variable cost of producing each income tax app is $3.
The selling price for the app is $8. Find the break-even point for the division. (3 pt)*
10. The following equations represent the demand and supply functions for underwater radar gear,
where x is in units of a thousand, and p is the unit price in dollars:
𝑃 = 𝑑(𝑥) = 60 − 2𝑥 2
𝑃 = 𝑠(𝑥) = 𝑥 2 + 9𝑥 + 30
Find the market equilibrium quantity and equilibrium price.
11. Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit realized
from renting out x apartments is given by
𝑃(𝑥) = −10𝑥 2 + 1280𝑥 − 5000 dollars.
How many units should be rented out to maximize the monthly rental profit? (hint: it’s not 100)
What is the maximum monthly profit possible? (3 pt)*
