Math 1090.04 Homework 04 Sprillg 2013

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Math 1090.04 Homework 04
Sprillg 2013
Student ID Number:
Name
Instructions:
Each student is expected to follow the Homework Guidelines
described on the course webpage
• Solve the Part A Problems on your own paper.
• Solve the Part B problems in this handout.
• Attach this handout to the front of your homework assignment
Reading Assignment:
• Chapter 1.4
• Chapter 1.7
• Chapter 1.8
-
-
-
Text page 35
Text pages 61-68
Text pages 72-79
Part A:
• Chapter 1.4 Text pages: 37-40
Problems: 55, 63-65
-
• Chapter 1.7 Text pages: 69-71
Problems: odds
-
• Chapter 1.8 Text pages 81-84
Problems: 1-19 odds & 25-33 odds
-
30 January 2013
Homework 03, Page 2 of 5
MathlO9O.004
DO NOT WRITE IN THIS TABLE!!!
(It is for grading purposes.)
0
out of 47
Quantity of Completed Homework Problems:
Homework
Grade:
Quiz
Review Questions:
1. Simplify the following expressions using the properties of exponents:
(a)
2
•
2
2
(b)
(c)
j
(d).
(e)
fxZ1
(f)
(g)
x6
(hb0
I
4-
A
-
4
—-
4— r
-
LA
Homework 03, Page 3 of 5
MathlO9O,004
30 January 2013
Chapter 1.4: System of Equations
2. Solve the following system of equations and check your work:
(1)
x+y+2z=17
x+2y+zrrl6
{+z=8
•
(2)
(3)
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•
4(3)
(z)
()
(5)
-*7l(
•
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:
1n4-c
iZZi
L:
(I_)
34=
4(5%)
()
3
-
9- 3
i-ak-S
l(
V
30 January 2013
Homework 03, Page 4 of 5
MathlO9O.004
Chapter 1.8: Graphical Linear Programming
3. Find the maximum and minimum values of the objective function given by P(x, y)
+ 5y subject to the following constraints:
C
(4)
64
5x + 8y
=
(5)
—5
(6)
(7)
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Homework 03. Page 5 of 5
MathlO9O.004
30 Jarniarv 2013
4. An inventor. Doug. builds and sells two different types of prosthetic arms. The simple
Hook Arm costs 3, 000 to make and requires 50 worker-days of labor. The more complex
Real Arm costs $4500 and requires 80 worker-days to make. Doug has $333.000 capital
to invest in his inventions and a total of 5,800 worker-days to utilize. The profit from
each Hook Arm is $900, and the profit for the Real Arm is $1300. How many of each type
of prosthetic arm should he create to maximize profit? What is the maximum profit.
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