Given the following mathematical programming problem: Min.      x + 3y s.a        x + 2y ≤ 6               4x – y ≥ 1                x ≥ 0 a) Find, if possible, an infeasible solution, a frontier feasible solution, and an interior feasible solution. b)  Write this problem in standard form

Q: Determine the sum x = a n k=1 k+b, where a=5, b=5, and n=20.

A: x=a∑kk=1k=2+b, where  a=5,b=5 and n=20 so first we have to find ∑120k=1+2+3+4+...+20=       we know…

Q: Consider the three systems of linear equations: 4x1 + 6x2 + 2x3 + 8x4 6x1 + 9x2 + 16x4 2x1 + 3x2 -…

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Q: 2. You have a factory that makes bikes and scooters. For bikes, you need 60 square feet of space per…

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Q: 17. Let foxys = exy. Find the equation for the tangent plane to the graph of f at the point (1.1).

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Q: Order the interest rates from lowest to highest? 0.99%, 0.98%,1.99% 9.1%, 9.01%, 9.001% 15.902%,…

A: We know, x% < y% iff x < y.

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A: Given, 3xy"+2(1-x)y'-4y=0 we have to solve the following problems.

Q: Let u = (1, 2, 3), v = (2, 2, -1), and w = (4, 0, -4). Find 2u + 3v - w. STEP 1: Multiply each…

A: Given that the vectors u=1,2,3v=2,2,-1w=4,0,-4    .

Q: True or false: If f: (0, ∞) → (0, ∞) is uniformly continuous, and h: (0, ∞) → (0, ∞) is defined by…

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Q: determine the value of x in the equation x3 -3x2+4x-7=0, using method of successive iteration

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Q: Fill in the proof below. To prove the resolution law: p v Q, ~p v R : . (therefore) Q v R You can…

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Q: 5. Find the general solution to x₁ = 4x₁ + 2x₂ + 3et, x₂ = 2x₁ + x₂ + et using Laplace transform.

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Q: If a group has exactly 24 elements of order 6, how many cyclic subgroupsof order 6 does it have?

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Q: 2). Find the Singular Value Decomposition of the following matrix A= 201 001 010

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Q: 10. Mercury In below are the amounts of mercury (in parts per million, or ppm) found in tuna sushi…

A: Sample mean x¯=0.719 ppm Standard Deviations=0.366 ppm Confidence level:90% Sample Size n=7

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Q: Consider the following expressions as functions of a with domain equal to the open interval (0, 1)…

A: The given function f:0, 1→ℝ, we have to find a function that satisfies the given condition.

Q: the value i get from step 1 is 1166.675705.

A: Formula to be used: The formula to calculate the monthly payment is given by,               Monthly…

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Q: Consider the following two matrices Select one: O a. both (A) and (B) are in REF O b. both (A) and…

A: Definition: Let A be an m×n matrix. Then A is said to be in Reduced Row Echelon Form (RREF) if A…

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Q: Let R be a regular ring with 1. (i) Prove that for any a E R, there exists an idempotent e ER such…

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Q: Question 4: Compute the Laplace Transform of tert. Question 5: Compute the Laplace Transform of…

A: Ft=tert

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Q: Consider the system - x1 + x2 3x3 + 4x4 1 + x2 - 4x3 +54 +2 2x15x211x3 + 9x4 -14x2 + 10x35x4 + 1…

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Q: Consider the linear system y' = Ay with A: 3 1 0 032 005 (a) Find the eigenvalues and eigenvectors…

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Q: What is the remainder when 210203 is divided by 101? Find the longt 128

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Q: Use the simplex algorithm to solve the following LP: max z = x₁ + x₂ + x3 X2 X1 s.t. x₁ + 2x₂ + 2x3…

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Q: (₂ Y₁) X₁ Y₁ a) Calculate the distance between points A(25, -15) and B(35,-25 Give 35-25² +(-25 +15)…

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Q: 5. Produce a formal proof of the sequence shown below. P→ (QAR), (PAR) → (S~S) ~P

A: To prove the given identity, we will assume the premises: P→(Q∧R)(P∧R)→(S↔~S)

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Q: Consider a set of six web pages hyperlinked by the directed graph below. A 5 (a) Find the transition…

A: As per our guidelines we are able to solve one question only..please repost with other question…

Q: Compute (a) llAll2 and (b) cond2(A) for the indicated matrix.

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Q: 7. A point charge of 7 nC is located at the origin. If V=6 V at (0, 5, -4), find (a) The potential…

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Q: question A's numbers were 36 and 12 and the answered question contanted 36 and 15

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Q: prove: if x and y are integers whose product is even, Then at least one of the two must be even

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Q: se 7. In the following sketch y and compute ſƒ(z)dz. 4 f(z) = Re(z), y(t) = Reit, 0 ≤ t ≤ 2π.…

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Q: x-y + 4z=0 8x+y-z=0 7x+2y-5z = 0

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