27. Given the illustration below, what are the corner points of the feasible region? 0.3) 0.21 (31.5) A. (0,2), (0,0), (4,0), (3,1.5),(2,2) B. (2,2), (3,1.5), (6,0), (4,0),(0,0), (0,2) C. (3,1.5), (4,0), (6,0) D. (0,6), (3,1.5), (4,0), (0,0),(0,2), (0,3)

3. (4, 6) and (0, -2) m%3D X, -X,

43.75 7] A system is given in the s domain by F(s): s(s3+5.5s2+8.5s+46.75) Obtain the associated time domain representation of the system and plot the function against time. =

11. Find X. (G.8A-S)

Explain the steps of determine red

Q6. Consider a candy with 3 flavors; assume that you have a bag of this candy with many pieces of each. Imagine that you are on a strict diet that only allows you to eat 6 pieces of candy, and that to maximize your enjoyment of your treat, you will be eating this candy one piece at a time. Second, how many possible outcomes are there for the second step (the second piece of candy eaten)? Note that the numbers of candy pieces may have changed from the previous question.   Your Answer: Q7.  Consider a candy with 4 flavors; assume that you have a bag of this candy with many pieces of each. Imagine that you are on a strict diet that only allows you to eat 4 pieces of candy, and that to maximize your enjoyment of your treat, you will be eating this candy one piece at a time. Third, how many steps are there in this experiment? Note that the numbers of candy pieces may have changed from the previous question.   Your Answer:

The optimal path for the TSP for a graph represented by the matrix C- (c), is given by the formula g(4, 5) - min (ea+ g(k,S- (k))) kes 2 3 4 6. C- 2 6. 6 429 2 g(2, (3)) -- 2. %24 2. 3. 1.

2

The Math coordinator at Houston Community College collected the following data from first and second year students enrolled in the department's Spring classes. Any given student could only have been enrolled in one course. MATH 1324 (X) MATH 1314 (Y) MATH 1332 (Z) Total First year (A) Second year (B) 33 (d) Compute P(X U A). 152/209 X 42 (e) Compute P(Y n BC). 82/209 X 25 100 19 40 50 109 Total 52 82 75 All answers to the following questions should be exact. (a) If a student is selected at random, what is the probability the student is a first year or a second year student? 209/209 209 (b) If a student is selected at random, what is the probability the student is not taking MATH 1324 and is not taking MATH 1332? 82/209 (c) If a student is selected at random, what is the probability the student is not taking MATH 1324 or is not taking MATH 1332? 127/209 X

What would I maximize or minimize if given blood alcohol content and number of drinks