Linear Equations and Inequalities: Solving Systems and Optimization - Prof. Michael Rosent, Assignments of Mathematics

Download Linear Equations and Inequalities: Solving Systems and Optimization - Prof. Michael Rosent and more Assignments Mathematics in PDF only on Docsity! Section 7.1 1) This example will help you do exercises 1-2 on p. 276. Determine whether the given ordered pair is a solution of the system of equations: (2, 1) 2x - y = 3 x - 3y = 4 Examples 2b-5 will help you do exercises 3-14 on p. 276. 2) Solve { 832 02 =+ =+− yx yx a) by the graphing method b) by the substitution method c) by the elimination method 3) Solve { 734 125 =+ =− yx yx by elimination 4) Solve { 3733 =+ =+ yx yx 5) Solve { 12 224 =− −=+− yxyx 6) This example will help you do exercises 16-19 on p. 276. Solve    =+− =+ 3 4 3 2 3 1 3 1 2 yx y x 7) This example will help you do exercise 44 on p. 277. Lissette has invested $7200 in PECO and LEGO stock. The PECO stock currently sells for $40 a share and the LEGO stock for $10 a share. If PECO stock goes up 50% in value and LEGO stock doubles, her stock will be worth $11,400. How many shares of each stock does she own? 8) This example will help you do exercise 48 on p. 278. A souvenir store sells t-shirts for $12 and baseball caps for $15. Its entire stock is worth $4200. If only half the shirts and one-third of the caps are sold, the resulting revenue is $1800. How many t-shirts and caps are left in the store? Section 8.1 1) Write a system of inequalities that describes all the conditions and graph the feasible region of the system: Carmella and Maria produce homemade rugs and afghans. They spin the yarn, dye it, and then weave it. A rug requires 3 hours of spinning, 1 hour of dyeing, and 10 hours of weaving. An afghan needs 3 hours of spinning, 3 hours of dyeing, and 3 hours of weaving. Together, they spend at most 12 hours per week spinning, 9 hours dyeing, and 30 hours weaving. Let x = the number of rugs produced per week and y= the number of afghans produced per week.