Maximize f = 3x + 7y + 11z subject to 4x + 3y+ 2z ≤ 8 2x+y+3z ≤ 18 x + 3y + 5z < 40 x>0, y ≥ 0, z ≥0

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A: Given the LPP problem:                                  Min.p=-2x+4y     2x+3y≥30       x-y≤15…

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A: To determine: Maximize and Minimize:

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

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Q: Maximize P=40x+50y Subject to 2x+y0 only HANDWRITTEN answer needed ( NOT TYPED)

A: Given:Maximize Subject to

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Q: ƒ(6) = -tan(x + ²) where -n ≤0 ≤n?

A: we need to graph the function   where explanation and graph in step 2

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A: Use the first and second derivative test and find the absolute minimum of function f(x).

Q: maximize f = x + 3y + z subject to x + 4y ≤ 12 3x + 6y + 4z ≤ 48 y + z ≤ 8

A: The given problem is: maximize f = x + 3y + z subject to x + 4y ≤ 12 3x + 6y + 4z ≤ 48 y + z ≤ 8