Let's assume that the annual profit focus of the company for skiing is given as follows. P (x, y) = -66x² + 132xy - 99y² + 132x - 66y -19 where x is the money of the standard boats (one thousand units) each year, y is the money of its anniversary racing skis (thousand units) and the profit at P (thousand dollars). ) shows. How many pieces of his skis must be produced in order to make the biggest profit? What is the maximum profit?

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

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A:

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A: we have to find partial derivative

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A: Here we have,  f(x,y) = x2-xy+1-12y2+3 at (3,2)

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A: Givendemand function p = 144-x2supply function P = 48+12x2

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A: The solution is given below:

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A: Given, 2y3+4x2-y =x6 We have to find y' by using the implicit differentiation.

Q: Verify that ƒxy = ƒyx, for ƒ(x, y) = 2x3 + 3y2 + 1.

A: To verify that

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Q: Q1. By using simplex (Tabular) method, maximise f = 10x1 + 9x2 subjected to: 3x1 + 3x2 0

A: Consider the provided question, f=10x1+9x2subject to:3x1+3x2≤214x1+3x2+x4≤24x1,x2,x3,x4≥0

Q: Find y" from x =t +7, y = 6t -1

A: Answer and explanation is given below

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Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

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A: Concept: Rxx, Ryy, Rxy, are the double partial derivative of x and y Maximum condition:…

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A: To find fxy when fx, y=8xexy.

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A: Population density is given by following function  P(x, y) = - 25x2 - 30y2 +500x + 240y + 180

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

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A:

Q: Use variation of parameters to find the particular solution to y'' + 5y' + 4y = 2e-34 Y(t) = […

A:

Q: Suppose that W (y1, Y2) (t) = 4, and y3 Yı – 3y2. What is W (y1, Y3) (t)?

A: Correct option -12 We have to find out the value for Wy1,y3t.

Q: The manager of Dixie Furniture Company estimates that the daily output of her factory (in thousands…

A:

Q: Use Variation of Parameters to obtain the General Solution 1. y +4y 4-sx2x

A: Solve the given problem.

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A:

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A:

Q: For a company that manufactures tennis rackets, the average cost per racket is found to be C = 400 +…

A: GivenC=400x+3+12x

Q: f(x, y) = 6 – V4 - x2 - y2 is

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Q: What is the fxx, fyy, and fxy of f=(2x^4)+(y^2)-(x^2)-(2y)?

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Q: Using the principles 2y. -3y + y = 5-3" Vn20 where y=1 and y₁=1

A:

Q: -V4-x² c3-x²-y² xdzdydx, 0. 0, J-5+x²+y²

A: We will find out the required value.

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A:

Q: The y, of y'"-y=2x²-x -3 by using variation of parameters is: .A y,(x)=Ae*+ Be- .B Yp(x) = x – 1 .C…

A: Given that  y"-y=2x^2-x-3 To find the particular solution by using the variation of parameters

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A: Recall: Consider the first differential equation                           dydx +P(x) y =Q(x)…

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Q: The manager of Dixie Furniture Company estimates that the daily output of her factory (in thousands…

A: a.The given function is

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Q: Suppose a company's revenue function is given by R(q) = - q³ + 250q² and its cost function is given…

A: Given,          A company's revenue function is given by Rq=-q3+250q2 and its cost function…

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Q: (x = s² – t² y = s·t³ z = 2x – 5y,

A: See the attachment

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A:

Q: Find DF of fcx,y)=x²e° at the point (-2,0)-

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Q: A company that produces skis has the Cobb-Douglas production function Q=f(x,y)=180x0.7y0.3 , where Q…

A: The product function is given by, Q=fx,y=180x0.7y0.3 Here  Q is the number of pairs of skis…

Q: Q4. Find the values of the constants a, b, c so that - - F = (axy + bz³)i + (3x² − cz)j + (3xz² –…

A: