Determine the maximum and minimum values ​​of the objective function F(x,y) -2x +5y from the shaded area in the figure above!

Q: Loyd is floating in his boat 2 km from the straight shoreline of a still lake .Standing at a…

A: GivenT(d)=d2+44+4-d5   We are required to find the minimum value of T.

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: describe the following :write the, y and x intercepts and its type, end behaviors, multiplicities,…

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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: Suppose that the selling price p of an item for the quantity x sold is given by the function p = − 1…

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Q: Where is optimization often applied and what is its importance?

A: Solution:Optimization:Optimization methods are used in many areas of study to find solutions that…

Q: I need help with optimization problems. For example, a rectangular pasture has to have 20,000 square…

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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: A company manufactures a units of one item and y units of another. The total cost in dollars, C, of…

A: Given cost function is  C = 6x2 + 2xy + 7y2 + 900…

Q: Find the dimensions of the rectangle of maximum area having two vertices on the x-axis and 2…

A: Let the rectangle has its two vertices on x-axis and remaining two vertices on the parabola y=4-x2.…

Q: Differentiate nonlinear from linear programming by defining and stating functions thereof

A: Linear programming: Linear programming is used to find the best solution from a set of parameters…

Q: For what values of the numbers a and b does the function f(x) = axeba2 have a maximum value f(2) =…

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Q: The function f(x)= 2x² + bx+c has a minimum value of 4 and an axis of symmetry x= V3. Determine the…

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Q: Maximize f = 5¤1 + 7x2 + 11a3 subject to 10r1 + 8x2 + 11a3 0

A: Consider the provided LPP problem, maximize  f=5x1+7x2+11x3Subjected…

Q: Why non-negativity constaints are not part of the general optimization model ?

A: If a variable that is constrained to be nonnegative has value zero in some solution, then the…

Q: State the rules used for unconstrained (regular) optimization and for constrained optimization.

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