140 2
.pdf
keyboard_arrow_up
School
Texas A&M University *
*We aren’t endorsed by this school
Course
140
Subject
Mathematics
Date
Jan 9, 2024
Type
Pages
11
Uploaded by id2003
Math 140
Week-in-Review
MATH 140: Week-In-Review 2 (2.2 & 2.3)
Problem 1
You bought a gadget for
$
17,000. According to the depreciation schedule, the value
of the gadget will drop by the same amount every year until the gadget reaches salvage, or scrap,
value. The value of the gadget after two years is
$
15,300.
(a) Determine
V
(
t
)
, the value of the gadget (in dollars) after
t
years.
(b) What is the rate of depreciation of the gadget?
(c) After how many years does the gadget reach scrap value?
(d) Determine the value of the gadget after 8 years.
(e) Determine the value of the gadget after 25 years.
Copyright
©
2023 Kathryn Bollinger
Page 1 of 11
Math 140
Week-in-Review
Problem 2
An item was purchased in 2010. After 5 years it was worth
$
10,000, and it is known
the item depreciates linearly over a 15 year-period with a scrap value of
$
6000.
(a) Determine the value of the item in 2018.
(b) Determine the value of the item in 2026.
Copyright
©
2023 Kathryn Bollinger
Page 2 of 11
Math 140
Week-in-Review
Problem 3
A company making keys has fixed costs of
$
15,000 each month. It costs this company
$
1 to make each key and each key sells for
$
5.
(a) Determine the linear cost, revenue, and profit functions for this company.
(b) How much will the company profit if 2500 keys are made and sold?
(c) How many keys must be sold in a month in order to have a profit of
$
10,000?
Copyright
©
2023 Kathryn Bollinger
Page 3 of 11
Math 140
Week-in-Review
Problem 4
A gadget company finds that the daily total cost of producing 200 gadgets is
$
14,000.
It also finds that if no gadgets are produced, the company still has daily costs of
$
10,000. Each
gadget sells for
$
26.
(a) What is the production cost per gadget?
(b) Determine the company’s linear cost, revenue, and profit functions.
Copyright
©
2023 Kathryn Bollinger
Page 4 of 11
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help