1. A farmerwants to raise goats and pigs in her backyard.She wants to raise no more than 12 animals, including no more than 6 goats.She spends $35 to raise a goat and $55 to raise a pig, and she has $1,000 available for the project.Find the maximum profit she can make if each goat produces a profit of $16 and each pig a profit of $38.Formulate a linear programming problem. Show all work but DO NOT attempt to solve it.

2. From a potential jury pool with 120 Hispanic, 150 Caucasian, and 30 African-American members, 12 jurors are to be selected one at a time without replacement.(a) Find the probability that 4 Hispanic, 5 Caucasian and 3 African-American are selected.; (b) Find the probability that all jurors are Hispanic.

3. Fresno State Business Fraternitydecides to raise money by raffling off a Fresno State baseball season tickets worth $300, two round of golf worth $160, and three Fresno State baseball cap worth $16 each.A total of 200 tickets are sold at $6 each.Construct a probability distribution and find the expected value of winning for a student who buys one ticket in the raffle.