Maximize B= 4xy, where x and y are positive numbers such that x+y = 1. The maximum value of B is 0.38 (Simplify vour answer Tyne an exact answer using radicals as needed)

Q: Find the maximum value of z = xy2 subject to 2x2 + y2 = 294; x ≥ 0, y ≥ 0. z =

A: Given information : z = xy2  subject to  2x2 + y2 = 294;  x≥0;  y≥0.

Q: Find the maximum and minimum value of f(x,y) =x3+3xy2-3x2-3y2+4

A: fx,y=x3+3xy2-3x2-3y2+4   fx=3x2+3y2-6x   fxx=6x-6   fxy=6y   fy=6xy-6y   fyy=6x-6

Q: Find the maximum value of xy if it is required that 2x +7y = 35

A:

Q: Determine two positive numbers e and f whose product is 27 and for which the value of 4f +3e is a…

A: Product is 27 and 4f+3e is a minimum.

Q: Suppose a baby food complany has determined that its total revenue R for its food is given by…

A: Total revenue R for baby food is R=-x3+63x2+1200x where R is measured in dollars and x is the number…

Q: Find the maximum value of xy if it is required that 2x + 7y = 35 %3D

A: Given  2x+7y = 35  y=(35-2x)/7 Let M = xy  To maximize the value of xy=M we need to differentiate…

Q: I hope to explain the question in steps Find the maximum and minimum values of f(x,y)=…

A:

Q: Suppose that f(æ, y) = e-3x² – 4y? + y Then the maximum is

A:

Q: A company estimates that its profit, P, in hundreds of dollars, is P(x) = -4x2 + 40x + 3 where x is…

A: Given:     P(x) = -4x2 + 40x + 3

Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

A:

Q: (X- At which value does the function g(x)= 3x^4 - 4x^3 attain a the minimum value? Type answer as…

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Q: Find the minimum value of xy, when p²x* + q²y* = r². %3D

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Q: Suppose that x and y are two positive numbers, and suppose that r+ 2y = 30. Find the maximum value…

A: Given that: x+2y=30…

Q: What is the maximum value of the function f(x, y) = 4 – x² – 2y? subject to the constraint 2 + y? =…

A:

Q: Find the extremum of​ f(x,y) subject to the given​ constraint, and state whether it is a maximum or…

A: To find the extremum of fx,y=59-x2-y2 to the given constraint x+7y=50

Q: Find the value of x and y which satisfy 2x + 3y = 8 and whose product is a minimum.

A: To solve the following problem

Q: Given ScZand IS -a, what is the maximum value of x+y:x.YESAX+Y1?

A:

Q: Find the maximum of Q= xy if x+ y = 50. The maximum value of Q is Q =

A:

Q: he population density of a city is given by P(x,y)= -20x²-20y +440x + 280y+200, where x and y are…

A: solution is given below

Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x+2y=5.

A: Given Function f f(x,y)=14-x2-y2 on line x+2y=5We need to find the maximum value For the line…

Q: Find the value/s of x for which y=3x^4-4x^3+1 is maximum?

A: y=3x4-4x3+1 Differentiating with respect to x, we get dydx=34x3-43x2+0=12x3-12x2 Now to find…

Q: a rectangle is delimited by the x axis and the semicircle, y = v2 25 -X^2 how long and wide the…

A:

Q: This extreme value problem has a solution with both a maximum value and a minimum value. f(x, y) =…

A: Given function fx,y is: fx,y=xy Let the other function be gx,y. gx,y:36x2+y2=7 Use the Lagrange…

Q: What is the local maximum and minimum of the equation f(x)=x2e17x

A:

Q: 1. Find the maximum value of f(x, y) = 4xy where x > 0 and y > 0, subject to the constraint 9. = 1.

A:

Q: An appliance company determined that in order to sell X dishwashers, the price per dishwasher must…

A:

Q: True or False: The linear function y = mx + b , where m ≠ 0 has no maximum value on any open…

A: true, the function y = mx +c has no maximum value in any open interval Reason: the graph of y = mx+c…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Revenue is the amount that producer get by selling teh product. Cost of the product is the amount…

Q: the maximum value M and the minimum value m of f(x,y) =x^3-2y^2 subject to the constraine…

A: According to question given that f(x,y)=x3-2y2Subject to constrainex3+y3=125

Q: Find the maximum value of ƒ(x, y) = 49 - x2 - y2 on the line x + 3y = 10.

A:

Q: What can be changed to have a bounded solution for this model? Explain by solving it.  Max Z= 3x1 +…

A: The constraints of a linear programming problem decide the feasible region of the problem. If the…

Q: Find the maximum value of 5x2 - 4xy+ 8y subject to x+y? = 1..

A:

Q: Find the maximum value of the function f(x, y) = x²y³ subject to the constraint a2 + y? = 10.…

A:

Q: Suppose that f(æ, y) = e-2x² – 3y² + y Then the maximum is

A:

Q: Express y = 3x2 – 8x - 1 in the form y = 3(x – p)² + q, where p and q are constants and hence find…

A: To express in the form y=3(x-p)²+q

Q: f(x) = 2x3+az? 12z has alocal maximum at z -2,then a

A: f(x)=2x3+ax2-12x  has a local maximum at x=-2then we have to find the value of a

Q: The population density of a city is given by P(x,y) = - 20x-20y +200x + 600y + 170, where x and y…

A:

Q: If the total revenue in ABC company has given by R=-x^3+285x^2=45000x, where R is the measure in…

A: Topic:- Application of Derivative

Q: Suppose that x and y are two positive numbers, and suppose that x + 2y = 30. Find the maximum value…

A: Given data:   The first equation is x+2y=30. The expression for the function is f(x,y)=(x+1)(y+3).…

Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x? + y² + z? = 4 and x? +…

A:

Q: Find the maximum value of z = xy2 subject to 8x2 + y2 = 1944; x > 0, y 2 0. z =

A: Given z=xy2 and condition 8x2+y2=1944; x≥0, y≥0 Let F=xy2+λ8x2+y2-1944 Partially differentiating…

Q: Maximize B = xy“, where x and y are positive numbers such that x + y = 3. The maximum value of B is

A: To maximize, B=xy2  --(1)Given that x+y2=3   ⇒y2=3-x   substituting in (1)

Q: ufacturer estimates that the cost (C) of production of x units of a certain item is C = 40x −…

A: We have to find the unit  where minimum cost arises

Q: 4) The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

A: Maximum number of mosquitoes

Q: Find the maximum profit and the number of units that must be produced and sold in order to achieve…

A: Given  R(x)=x2+110x+60C(x)=1.1x2+10x+80

Q: An electronics manufacturer determines that the profit P(in dollars) obtained  by producing and…

A: Consider the given function, Px,y=8x+10y-11000x2+xy+y2-10,000 Noe find the critical points by…

Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given: A courier service will deliver a package only if the length plus girth does not exceed 108…

Q: Suppose the labor cost​ (in dollars) for manufacturing a camera can be approximated by…

A: Let us take a continuous function f(x,y) such that double derivative of function is also continuous.…

Q: Find the absolute minimum value of the function 3x? + 2y? subject to the constraint f(x, y) 4.x2 +…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.