Math 1090.04 Homework 04
Spring 2013
Name
Student ID Number:
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 - Text page 35
• Chapter 1.7 - Text pages 61-68
• Chapter 1.8 - 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
Math1090.004
Homework 03, Page 2 of 5
30 January 2013
DO NOT WRITE IN THIS TABLE!!!
(It is for grading purposes.)
Quantity of Completed Homework Problems:
out of 47
Grade: Homework
Quiz
Review Questions:
1. Simplify the following expressions using the properties of exponents:
√
(a) 3 32
(b)
(c)
(d)
(e)
(f)
√
3
√
3
√
3
√
3
√
3
150
x4
9·
√
3
6
x5
12 ·
(g)
√
5
64x6
√
5
2x
(h)
√
4
162x5
√
4
2x
√
3
4
Math1090.004
Homework 03, Page 3 of 5
30 January 2013
Chapter 1.4: System of Equations
2. Solve the following system of equations and check your work:


x + z = 8
x + y + 2z = 17

x + 2y + z = 16
(1)
(2)
(3)
Math1090.004
Homework 03, Page 4 of 5
30 January 2013
Chapter 1.8: Graphical Linear Programming
3. Find the maximum and minimum values of the objective function given by P (x, y) =
3x + 5y subject to the following constraints:

5x + 8y ≤ 64



y − x ≥ −5

x≥0



y≥0
(4)
(5)
(6)
(7)
Math1090.004
Homework 03, Page 5 of 5
30 January 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.