D 1. Graph the solution set of the system of inequalities or indicate that the system has no solution. x2 + _'.=2 =81 -2x + 5y =-10 10 D 2. Solve the linear programming problem. Mrs. White wants to crochet beach hats and baby afghans for a church fund-raising bazaar. She needs 7 hours to make a hat and 2 hours to make an afghan and she has 44 hours available. She wants to make no more than 12 items and no more than 11 afghans. The bazaar will sell the hats for $13 each and the afghans for $7 each. How many of each should she make te maximize the income for the bazaar? What is the maximum income? O 6 hats, 6 afghans, $120 O 4 hats, 8 afghans, $108 O 11 hats, 1 afghans, $150 (O 8hats, 4 afghans, 132 3. Set up the linear programming problem. Eric's Carpentry manufactures two types of bookshelves that are 4 feet tall and 3 feet wide, a basic model and a deluxe model. Each basic bookshelf requires 1.5 hours for assembly and 1 hour for finishing; each deluxe model requires 2.5 hours for assembly and 1 hour for finishing. Two assemblers and one finisher are employed by the company, and each works 40 hours per week. (a) Using x to denote the number of basic bookcases and y to denote the number of deluxe bookcases, write a system of linear inequalities that describes the possible number of each model of bookcase that can be manufactured in a week. (b) Graph the system and label the corner points.[ 4 set up the linear programming problem. The Jillson's have up to $75,000 to invest. They decide that they want to have at least $40,000 invested in stable bonds yielding 6% and that no more than $20,000 should be invested in more volatile bonds yielding 12%. (a) Using x to denote the amount of money invested in the stable bonds and y the amount invested in the more volatile bonds, write a system of linear inequalities that describes the possible amounts of each investment. (b) Graph the system and label the corner points. D 5. Solve the linear programming problem. The Jillson's have up to $75,000 to invest. They decide that they want to have at least $25,000 invested in stable bonds yielding 6% and that no more than $45,000 should be invested in more volatile bonds yielding 12%. How much should they invest in each type of bond to maximize income if the amount in the more volatile bond should not exceed the amount in the more stable bond? What is the maximum income? B j U FontFamiy AT A P TIECCECQ @ @ O e 8 o @ 1. Solve the problem. A coin is weighted so that heads is 19 times as likely as tails to occur. What probability should be assigned to heads? to tails? Bi U Font Family - AA A WIN Y2. Construct a probability model for the experiment. Rolling a 6-sided fair die once and tossing a fair coin once. B Font Family - AA A = WIN- = =3. Construct a probability model for the experiment. Tossing a fair coin twice given that the coin is weighted so that heads is three times as likely as tails to occur. B U Font Family AA3 4. Construct a probability model for the experiment. Tossing one fair coin three times B i U Font Family AA * A WN-5. Construct a probability model for the experiment. Rolling a 6-sided fair die twice B i U Font Family - AA- A