Consider the following LPP: maximize subject to ax₁ + 1x₂ -x1+x₂ ≤2 1 2x1 + x₂ ≤ 3 X1, X20 (a) For which values of a does this LPP have an optimal solution? Hint: draw the feasible set and consider the direction of the cost vector (a, 1). -³. (b) Solve this LPP graphically in the case when a = - (c) Use the Simplex method to solve this problem when a = -3. (d) Use the Simplex method to solve this problem when a = 1. Hint: does the LPP have an optimal solution in this case?

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A: All the graphs are plotted below.Explanation:Here are the plots:

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Q: Suppose Cov(X,Y) = 65. What is Cov(0.46X, 0.39Y)?

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A: Given below solution Explanation:Step 1:Step 2: Step 3: Step 4:

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Q: Suppose the relationship between Y and X is given by: Y =  -5 - 10X What is Y when X is -100?

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Q: Suppose E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62. What is E(aX+bY)? (Please round to two decimal…

A: E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62.E(aX+bY)=aE(x)+bE(y)

Q: If Cov(X,Y) = 808, then what is Cov(10X,4Y)?

A: The objective of the question is to find the covariance of the variables 10X and 4Y given that the…

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A:

Q: Problem 8. Prove that if R is a finite ring with unity then any prime ideal is a maximal ideal.

A: Prove that if  is a finite ring with unity then any prime ideal is a maximal ideal.

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A:

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A:

Q: Suppose E(X) = 100, E(Y) = 4, a = 0.91, and b = 0.09. What is E(aX+bY)? (Please round to two decimal…

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Q: If Cov(X,Y) = 148, then what is Cov(16X,2Y)?

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A:

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Q: If Cov(X,Y) = 213, then what is Cov(8X,17Y)?

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Q: 2 Consider the set S = {x² + 1, 2x − 2, −x² + x}. The set S spans P2. If t(x) = 5x² + x + 2 € P₂,…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

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Q: If Cov(X,Y) = 100, then what is Cov(5X,5Y)?

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