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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) So1’NC) L&Jifl4O L%hS(Z) • 4(3) (z) () (5) -*7l( • LiZFI : 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) 0 y tkt jc( &x*LJ r*tft4 11 fl .LQ4 -cx --(4 r Lirt}pe C soij ol fcl xo siil ph (&u s4-Poin± yLt tkt ‘-c-i Or’ cr& 1 c. 1 1-uS DO ir±: 9n.-çh p&r) (4 ,r) ‘l-1 L o -- “- C’ F) :0 “K LS II 01 4- x oQ\V 1 0 ‘4 I ; C •q r•) U Q-s - 0 H 0 -i0 c a a S —5 C _t. ‘I E a — £ I’ C £1OQX <zS1 II alp + ‘Ii - f—s ‘3 (-) a ‘) .zs - ‘) (I ()o •k‘‘c v ) 1iOo /__‘ .c_ j.)O s— ‘>< - ,; . I + >< ldl o .)< •----- “ k a 0 0 ‘si — 0 o II x Cl) V 00 4 I C n ci 1’ c- Co 0 CO cO A I’ ç() C) 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. Vô • Jy€-t I nk Hook Arms LLL2rThlj ; ) o RtaQ rm • • ( ox • none- (p1-i) d-ov’ + rS a 5-O4 i: crC tk -Ffl O o tj 9vnc4-On: ttL btts&s *- P rc1- qoox #ioc 1 I Sp 3O - 5QxO 333000 — .1soo _53x 0O SO L soO 3OOO 3oOOX*00 --—- - — 333 5800 cDoo Ujjpts E 1 Tn () ± ± t _--)( Sal (1’) —--)ç-2S bU So I (3) Xb ?oIcl (4) ck2 G/ph& b- C 4 pci rv 12t (J) L4s3X 6r T’ (oLc TP pt4XX ‘\A&A 1 C L941L1’- Z/3 - CDnu o1fl ) ( X xt2S c -X +?2.S S4: 5L( -tk Skr c--ns rr po;n+: +0 12. A -21sx (- k-7) (-ix k?2S 3 -x) +k(4) -(2) I -11-46o C 00 LA 0 0 0 C;i — 0 0 c’ - C,’ 0 b 0 oS’ o CA) o J -4! -d ii 0 0 w cJ 0 0 o -C’ •— __J C,, 0 (3 5 cN ;:& .—, 0 I C,’ 0 L; 1- V.’ ‘I >c - - 0 0 - 0 C n