Question

In: Advanced Math

Verify the Duality Theorem 4.1.9 on each of the following LOPs. a. Max. z= −211x1 −189x2...

Verify the Duality Theorem 4.1.9 on each of the following LOPs.
a.
Max. z= −211x1 −189x2 −106x3 −175x4
s.t. 4x1 +6x2 −5x3 +3x4 ≤ 22
x1 +4x3 +9x4 ≤ 18
−3x1 +2x2 −2x3 ≤ 27
5x2 −2x4 ≤ 23
2x1 −x2 −x3 +x4 ≤ 16
7x1 +8x2 −7x3 +4x4 ≤ 12
& x1, x2, x3, x4 ≥ 0
b.
Max. z = x1 + 2x2
s.t. 17x1 + 21x2 ≤ 51
x1 − 4x2 ≤ 12
3x1 + 6x2 ≤ 14
& x1 , x2 ≥ 0

Solutions

Expert Solution


Related Solutions

Verify the Divergence Theorem for the vector field F(x, y, z) = < y, x ,...
Verify the Divergence Theorem for the vector field F(x, y, z) = < y, x , z^2 > on the region E bounded by the planes y + z = 2, z = 0 and the cylinder x^2 + y^2 = 1. By Surface Integral: By Triple Integral:
Verify the Divergence Theorem for the vector eld F(x; y; z) = hy; x; z2i on...
Verify the Divergence Theorem for the vector eld F(x; y; z) = hy; x; z2i on the region E bounded by the planes y + z = 2, z = 0 and the cylinder x2 + y2 = 1. Surface Integral: Triple Integral:
Prove the following theorem: Theorem ∀n ∈ Z, n is either even or odd (but not...
Prove the following theorem: Theorem ∀n ∈ Z, n is either even or odd (but not both). Your proof must address the following points: 1. n is even or odd (and nothing else). 2. n is odd =⇒ n is not even (hint: contradiction). 3. n is even=⇒ n is not odd (hint: contrapositive). The first point is a bit more difficult. Start by making a statement about 0. Then assuming that n is even, what can you say about...
Verify stokes theorem when S=(x,y,z): 9x^2+y^2=z^2 and 0 ≤z ≤2 and F(x,y,z)=0i+((9x^2)/2)j+((y^(3)*z)/3)k
Verify stokes theorem when S=(x,y,z): 9x^2+y^2=z^2 and 0 ≤z ≤2 and F(x,y,z)=0i+((9x^2)/2)j+((y^(3)*z)/3)k
Verify stokes theorem when S=(x,y,z): 9x^2+y^2=z^2 and 0 ≤z ≤2 and F(x,y,z)=0i+((9x^2)/2)j+((y^(3)*z)/3)k
Verify stokes theorem when S=(x,y,z): 9x^2+y^2=z^2 and 0 ≤z ≤2 and F(x,y,z)=0i+((9x^2)/2)j+((y^(3)*z)/3)k
Make a simulation to verify the following theorem: if X1 ∼ N(µ1, (σ 1)^2 ), X2...
Make a simulation to verify the following theorem: if X1 ∼ N(µ1, (σ 1)^2 ), X2 ∼ N(µ2, (σ2)^ 2 ), and X1 and X2 are independent, then X1 + X2 ∼ N(µ1 + µ2, (σ2)^2+ (σ 2 )^2 ).
Verify Stokes theorem for F =(y^2 + x^2 - x^2)i + (z^2 + x^2 - y^2)j...
Verify Stokes theorem for F =(y^2 + x^2 - x^2)i + (z^2 + x^2 - y^2)j + (x^2 + y^2 - z^2)k over the portion of the surface x^2 + y^2 -2ax + az = 0
Vector Analysis: Verify Green’s Theorem in the plane for ? ⃑ = (?^2 + ?^2)?̂+ (?^2...
Vector Analysis: Verify Green’s Theorem in the plane for ? ⃑ = (?^2 + ?^2)?̂+ (?^2 − ?^2)?̂ in the anti-clockwise direction around the ellipse 4?^2 + ?^2 = 16.
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then...
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) f(x) = cos(2x),    [π/8, 7π/8] (a) Graph the function f(x) = x + 7/x and the secant line that passes through the points (1, 8) and (14, 14.5) in the viewing rectangle [0, 16] by [0, 16]. (b) Find the number c that satisfies the conclusion of...
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then...
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) f(x) = 1 − 24x + 4x2 ,[2,4] C=
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT