Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x² + y? + z? = 1080.

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

A: We use partial differentiation technique to maximize the revenue. The solution is explained below.

Q: Maximize f=34x1+29x2+32x3 subject to 8x1+2x2+x3 <= 54, 3x1+8x2+2x3 <= 59, x1+x2+5x3 <= 39

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Q: Find the maximum value of Q(x) = -2x + 10x3+4x1x2 subject to the constraint x² + x3 = 1. answer…

A:

Q: Maximize z = 60x1 + 120x2 + 30x3, subject to 5x1 + 5x2 + 10x3 ≤ 1000 10x1 + 8x2 + 5x3 ≤ 2000 10x1 +…

A: The LPP is:Maximize z=60x1+120x2+30x3Subject to5x1+5x2+10x3≤100010x1+8x2+5x3≤200010x1+5x2≤500x1≥0,…

Q: Let x = The number of hours per week Niki will work at Job I. and x = The number of hours per week…

A: Given Nikki works to jobs i.e. I and II. Time availability in a week is less than twelve hours

Q: Find solution using graphical method MAX Z = 5X1 + 4X2 subject to X1 - 2X2 = 3 and X1,X2 >= 0

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Q: A company sells two different types of candles, and their profit function for a week is given by…

A: Consider the provided question, (3)

Q: can there be a maximum for Q = x2 + y2 if x + y = 6? Justify your answer.

A: To check: Whether Q have maximum value or not. Given: The functions are Q=x2+y2, if x+y=6. Concept…

Q: Min Z = 12X1 + 18X2 + 8X3  5X1 + 8X2 +9X2 >= 18  9X1 + 15X2 + 12X3 >= 36  10X1 + 15X2 + 12X3 >= 45…

A: Min subjected to constrain

Q: Find the minimum  of the function f(x) = 2x3 + 3x2 − 12x + 17

A: We have to find the minimum of the function f(x)=2x3+3x2-12x+17.

Q: any produel defective computers that must be rejected tends to increase as the daily output creases.…

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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: maximise 2.01 + *2 subject to T1 – X2 < 1, 2x1- x2 1, 2x1 + 2x2 2 4, X1, X2 20

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Q: -. Which equation shows the minimum or maximum value of f(x) without changing the form of the…

A: Please refer the attached image for complete solution.

Q: Maximise P = – 2x2 – 5y2 + 96x + 80y + 610 Subject to 10x + 20y ≤ 500 x, y ≥ 0

A: See the attached file for a step by step explanation to find the maximization of P.

Q: Consider the following problem; max F(x1 ,X2) = x,x3 subject to 6x + 3x3 = 72

A: Solution is given below:

Q: Find the largest value of the function f(x) = x³ — 4x² – 10x + 5 - - on the domain -6≤ x ≤ 6.

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Q: Find all local extrema of f (x) = 4x3 – 3x² – 6x + 7 - -

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