Find maximum and minumum values of f(r, y, z) = 8x – 16y + 40z subject to the constraint z? + y? + z² = 1920. O -1920 min , 1920 max O -1920 min , 1280 max O -1280 min , 1920 max O -640 min , 640 max O -1280 min, 640 max O -1280 min , 1280 max O -640 min , 3200 max O -640 min , 1920 max

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: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c…

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Q: 4. Identical bricks are used in the construction of a wall as seen in the figure. While the ones…

A: Given data:- Construction of wall shown in figure;

Q: Find maximum and minumum values of f(x, y, z) = 3x – 6y + 15z subject to the constraint x2 + y² + z²…

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Q: Find the maximun and minimun of P= 4x + 3y subject to:…

A:

Q: Find the minimum of Q = x2 + y2 if x + y = 6.

A: To find the minimum of Q=x2+y2,if x+y=6. Solution: given, x+y=6⇒y=6-x   ...(1)⇒Q=x2+y2⇒Q=x2+(6-x)2…

Q: Let 1, 2, y be decision variables, 91 (1, 2) and 92 (1, 2) linear functions, and b₁ < 100 and b2200…

A: Let  be decision varables.  and  are linear functions. are input parameters.The given constraints…

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 maximum and minimum values of the function f(x, y, z, t) = x + Y + z + t subject to the…

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Q: - Discuss the maximum and minimum of x + y +6x+12. .2

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Q: Find two positive numbers satisfying the given requirements. The product is 192 and the sum of the…

A: Given: To find two numbers such that, the product of two numbers 192 and sum of the first plus three…

Q: 1. Find two positive numbers such that the sum of the first number squared and the second number is…

A:

Q: Find two positive numbers whose product is 50 such that the sum of the first plus 2 times the second…

A: Given, Product of 2 positive number is 50  First number+2(second number)=S, is a minimum.

Q: Maximize: z=2x1+x2 subject​ to: x1+4x2 ≤ 12   2x1+5x2 ≤ 2   x1+6x2 ≤ 4 with x1≥0, x2≥0.   A.The…

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Q: Verify that in the example to the right, the same result isobtained if the constraint x + y = 20 is…

A: The given objective function P=xy with the constraint x+y=20

Q: Find the minimum of ?(?, ?, ?) = ? ^2+y^2+z^2 subject to the two constraints 2 ? + ? + ? = 1 and 2?…

A: The objective of this question is to find the minimum of the function f(x, y, z) = x^2 + y^2 + z^2…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.