4. 2x+4y= 11 -5x + 3y = 5

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Finite Mathematics For t...
+
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14 Self-Check Excise
Sandises
1A Concept Queens
--
+36-
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50
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Go Tools Window Help
Finite Mathematics For the Managerial, Life, and Social Scie...
Page 77 of 714
V
50
1.4 Exercises
In Exercises 1-6, find the point of intersection of each pair of
straight lines.
1. y
CHAPTER 1 STRAIGHT LINES AND LINEAR FUNCTIONS
= 3x + 4
y = -2x + 14
5. y
3. 2x - 3y = 6
3x + бу
16
=
2x
1
X
3
2
=
5
1
2.
4.
6.
7
y = - 4x
-y = 5x + 10
2x + 4y
= 11
-5x + 3y = 5
y
||
23
=
2
X 4
x + 3y + 3 = 0
= 0.4x
In Exercises 7-10, find the break-even point for the firm whose
cost function C and revenue function R are given.
7. C(x) = 5x + 10,000; R(x)
= 15x
8. C(x) = 15x + 12,000; R(x) = 21x
9. C(x) = 0.2x + 120; R(x)
10.
C(x) =
= 150x + 20,000; R(x) = 270x
11. BREAK-EVEN ANALYSIS AutoTime, a manufacturer of 24-hr
variable timers, has a monthly fixed cost of $48,000 and a
production cost of $8 for each timer manufactured. The
units sell for $14 each
36
zoom
✓
16
zoom
Q Search
a. Find the functions describing the daily cost of leasing
from each company.
b. Sketch the graphs of the two functions on the same set
of axes.
c. If a customer plans to drive at most 30 mi, from which
company should he rent a truck for a single day?
Ơ
d. If a customer plans to drive at least 60 mi, from which
company should he rent a truck for a single day?
15. DECISION ANALYSIS A product may be made by using Ma-
chine I or Machine II. The manufacturer estimates that
the monthly fixed costs of using Machine I are $18,000,
whereas the monthly fixed costs of using Machine II are
$15,000. The variable costs of manufacturing 1 unit of the
product using Machine I and Machine II are $15 and $20,
respectively. The product sells for $50 each.
a. Find the cost functions associated with using each
machine.
b. Sketch the graphs of the cost functions of part (a) and
the revenue functions on the same set of axes.
c. Which machine should management choose in order
to maximize their profit if the projected sales are
450 units? 550 units? 650 units?
d. What is the profit for each case in part (c)?
HARMACIES The onnuel colog
leynd
Sat Jul 15 11:53 AM
:
Transcribed Image Text:Finite Mathematics For t... + Preview File Edit View 14 Self-Check Excise Sandises 1A Concept Queens -- +36- Just The BIRTH ill fed 13. do 3 darbu q Lots from the They had code de d hd The moted They do, and the 48 Singer - 3.8 49 CO A la tudat at m 50 The Teng www Thi Aut Wom proff the prequent s 117 N O 6 Go Tools Window Help Finite Mathematics For the Managerial, Life, and Social Scie... Page 77 of 714 V 50 1.4 Exercises In Exercises 1-6, find the point of intersection of each pair of straight lines. 1. y CHAPTER 1 STRAIGHT LINES AND LINEAR FUNCTIONS = 3x + 4 y = -2x + 14 5. y 3. 2x - 3y = 6 3x + бу 16 = 2x 1 X 3 2 = 5 1 2. 4. 6. 7 y = - 4x -y = 5x + 10 2x + 4y = 11 -5x + 3y = 5 y || 23 = 2 X 4 x + 3y + 3 = 0 = 0.4x In Exercises 7-10, find the break-even point for the firm whose cost function C and revenue function R are given. 7. C(x) = 5x + 10,000; R(x) = 15x 8. C(x) = 15x + 12,000; R(x) = 21x 9. C(x) = 0.2x + 120; R(x) 10. C(x) = = 150x + 20,000; R(x) = 270x 11. BREAK-EVEN ANALYSIS AutoTime, a manufacturer of 24-hr variable timers, has a monthly fixed cost of $48,000 and a production cost of $8 for each timer manufactured. The units sell for $14 each 36 zoom ✓ 16 zoom Q Search a. Find the functions describing the daily cost of leasing from each company. b. Sketch the graphs of the two functions on the same set of axes. c. If a customer plans to drive at most 30 mi, from which company should he rent a truck for a single day? Ơ d. If a customer plans to drive at least 60 mi, from which company should he rent a truck for a single day? 15. DECISION ANALYSIS A product may be made by using Ma- chine I or Machine II. The manufacturer estimates that the monthly fixed costs of using Machine I are $18,000, whereas the monthly fixed costs of using Machine II are $15,000. The variable costs of manufacturing 1 unit of the product using Machine I and Machine II are $15 and $20, respectively. The product sells for $50 each. a. Find the cost functions associated with using each machine. b. Sketch the graphs of the cost functions of part (a) and the revenue functions on the same set of axes. c. Which machine should management choose in order to maximize their profit if the projected sales are 450 units? 550 units? 650 units? d. What is the profit for each case in part (c)? HARMACIES The onnuel colog leynd Sat Jul 15 11:53 AM :
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