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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.