PROBLEM 24: Which of the following represents the minimum value of the function

Question

PROBLEM 24: Which of the following represents the minimum value of the function 8x-3y on the solution set shaded below? C) there is no minimum D) 10.5 E) 27.5 N) none of the above B) -9 NOTE: The solution set is unbounded, and the points labeled with dotted lines are NOT corner points (0, 3) (2, 3) PROBLEM 25: There are five Poodles and four Chihuahuas at an animal shelter. if two of the animals are randomly selected to be shown at the mall, what is the expected number of Poodles selected? A) 1.2 B) 10/9 C) 19/9 D) 0.9 E) 1.0 N) none of the above

Explanation / Answer

24.- x is unbounded on the negative values so 8x - 3y can be as negative as we want, so there is no minimum.

ie (x,0) is a feasible solution for all x<0 then f(x,0)= 8x-3y=8x-3(0)=8x can be as negative as we want in the region.

Then C) there is no minimum

25.- If two animals are selected the probability of selecting 0 poodles is (4/9)*(3/8)

the probability of selecting just 1 poodle is (5/9)*(4/8)+(4/9)*(5/8)

the probability of selecting 2 poodles is (5/9)*(4/8)

Then the Expected number of pooodles is 0*(4/9)*(3/8)+1*[(5/9)*(4/8)+(4/9)*(5/8)]+2*(5/9)*(4/8)=10/9

Answer: B

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.