If two perfectly rational players play the following zero-sum matrix games, what strategies will they use? 5 4 3 (a) 0 6 1 4 7] 6 2 0 (b) |2 5 (c) |1 11 3 6 4 3 7 9 5 6.
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![If two perfectly rational players play the following zero-sum matrix
games, what strategies will they use?
5 4 3
(a)
0 6 1
4 7]
6
2 0
(b) |2 5
(c) |1
11
3
6 4
3
7
9
5
6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36a7a892-d2a2-4a6f-a8a2-55ad3cac8d8b%2Fb652ec54-aca0-46ad-aa45-b6188ec836b6%2Fbs7zl7r_processed.png&w=3840&q=75)
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- 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 28. A square matrix P has a property that P2=P. If P is not equal to In, which of the following is true?Mr. Montes is writing a short, three-question, true or false quiz for his Algebra 2 classes. He had planned on using a random answer generator to determine which of true or false would be the correct answer for each quiz question, but his internet is not working. Instead, he writes each possible answer combination on a small slip of paper, folds each paper in half, and then places them in a box. Without looking, he draws one of the slips of paper. 4. List 5 outcomes that are in this sample space.
- Mr. Montes is writing a short, three-question, true or false quiz for his Algebra 2 classes. He had planned on using a random answer generator to determine which of true or false would be the correct answer for each quiz question, but his internet is not working. Instead, he writes each possible answer combination on a small slip of paper, folds each paper in half, and then places them in a box. Without looking, he draws one of the slips of paper 2. List the outcomes in the sample space. Let T = True and F = False.A matrix B in Mnxn (C) is called skew-symmetric if Bt= -B. Prove that if B ϵ Mnxn (C) is skew-symmetric and n is odd, then det(B)=0.Find the smallest integer k≥0 such that adding k to each entry of the given matrix produces a matrix with all positive payoffs. -4 -1 4 -5 k=________
- A fast food company is offering a prize promotion game. The company claims that in 0.5 % 0.5% of all orders will receive $ 100 $100 cash, 1 % 1% of all orders will receive $ 10 $10 cash, and 10 % 10% of orders will receive a coupon for a free soft drink. The remaining orders will receive no prizes. A group of long-time customers were excited about the new promotion, and over the course of the promotion, they placed 651 orders 651 orders. Of these orders, 2 2 ended up winning $ 100 $100, 6 6 won $ 10 $10, and 52 52 won a free soft drink. The group wants to do a chi-squared goodness of fit test to test the advertised odds. Are the conditions met for this test?Mr. Montes is writing a short, three-question, true or false quiz for his Algebra 2 classes. He had planned on using a random answer generator to determine which of true or false would be the correct answer for each quiz question, but his internet is not working. Instead, he writes each possible answer combination on a small slip of paper, folds each paper in half, and then places them in a box. Without looking, he draws one of the slips of paper. After grading the quizzes, Mr. Montes decides that his students could use some additional practice with the concepts tested. He writes a take-home assignment for his students. The assignment starts with two true or false questions and then has 3 multiple-choice questions. The multiple-choice questions each have 4 answer options, only 1 of which is correct. Luckily, Mr. Montes’ internet is working when he writes the quiz and he is able to use a random answer generator. 3. Let the possible answer combinations represent Mr. Montes’ sample space.…Is it true that det AB = (det A) (det B)? To find out, generate random 5 × 5 matrices A and B, and compute det AB – (det A det B). Repeat the calculations for three other pairs of n × n atrices, for various values of n. Report your results.