Question 1. Find the dual problem of minimize x1 + x2 + x3, subject to x1 + 2x2 + 3x3 = 1, 6x1 + 5x2 + 4x3 = 2, x > 0. Write the equilibrium conditions.

Q: Maximize p = 6x + y + 3z subject to 3x + y < 15 2x + 2y + 2z < 20 x 2 0, y 2 0, z 2 0.

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Q: Minimize C= 3x + 7y subject to x +3y >= 15                   4x + y >= 16                  X>=0,…

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Q: Suppose that the profit (in hundreds of dollars) of a pharmaceutical company is approximated by P(x,…

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Q: Maximize P = x1 + 2x2 + x3, Subject to: 3x1 + x2 + x3 <4 x1 + x2 + 2x3 < 4 æ1, X2, x3 and give the…

A: It is given that, Max P=x1+2x2+x3 Subject to the constraints, 3x1+x2+x3≤4x1+x2+2x3≤4and x1,x2,x3≥0…

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Q: Maximize Z = 19x1 + 8x2 subject to 9x1 + 16x2 0

A: Consider the given problem.

Q: Maximize Z = 20x1 + 8x2 subject to 16x1 + 8x2 0 %3D

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Q: Find the minimum and maximum of y = f(x) = x³ – x² – 3x + 2

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Q: A company produces two types of solar panels, A and B, that sell for $5million and $4 million per…

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Q: A manufacturer makes two products. The price functions for the two products are…

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Q: 9) A company projects their revenue and cost functions will be R(x) = 3x² + 10x and C(x) = 13 x³ 4x2…

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Q: A corporation manufactures candles at two locations. The cost of producing x₁ units at location 1 is…

A: It is given that, P = 1(x1 + x2) − C1 − C2. The cost of producing x1 units at location 1 is C1 =…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.