#4-5. A pen that includes 6 enclosures, as pictured below, is formed, using 1200 linear feet of fencing material. X- 4. Express the area of the enclosure in terms of X. 1300X 3x+44=1200 Y 4y=1200-3x A= 300x-x² 4 A= 1300 X+300x Y- 300-こ× 5. Find the maximum possible area that can be formed with 1200 linear feet of fencing material, and the dimensions that yield the maximum area. X* +3001 4

Q: 2. An orange grower has 400 crates of fruit ready for market and will have 20 m day the grower…

A: We will create function and use derivative to maximize it

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = 3xy, subject to x + 2y = 32

A: Given f(x,y)=3xy , subject to x+2y=32 To find the relative maxima: x+2y=322y=32-x⇒y=32-x2 Hence,…

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

A: The answer is True.

Q: 3. x20 y 7-x Ax, y) = 3x +y Minimum: Maximum:

A:

Q: 5. y2 2x y26-x fx, y) = 4x+ 3y Minimum: Maximum: | | | | |

A: We need to find maximum and minimum values of f(x,y).

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

A:

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

A:

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

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: 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: Find a cubic function d cx bx ax x f + + + = 2 3 ) ( whose graph has a relative minimum at (0, 1)…

A:

Q: You will calculate L5 and U5 for the quadratic function y 2² + z + 14 between z = 0 and z = 2. Enter…

A: To solve the following problem

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: A company with a monopoly is able to control the price of its product by limiting supply. If the…

A:

Q: The population density of a city is given by P(x,y) = - 25x - 30y + 500x + 240y + 180, where x and y…

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

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = 12xy - x2 - 3y2, subject to x + y = 16

A: f(x,y)=12xy-x2-3y2 , subject to x+y=16

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 absolute maximum of the function Ax) = x(x+ 1)(x– 1) on the interval osxs2. O a) o b) 8 c)…

A:

Q: For what x does the function f (x) = 1/4 x2 - x + 2, 0 … x … 8, have its maximum value?

A: For a given function f(x) the critical point are the value of x at which the derivative of f(X)…

Q: Consider the production function:           Y = 0.75X + 0.0042X2 – 0.000023X3 (a) At what level of…

A:

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: Sketch a graph of the quadratic function. f(x) = x2 - 6x y y 10 10- 5- -10 10 -10 -5 5 10 5 10 10 y…

A: fx=x2-6x The graph is,

Q: f(x) = 3 x-4 x-12 x²+1, has local maximum at x= .A .B -2 .C 2 .D

A: Given :           f(x) = 3x4 - 4x3 - 12x2 + 1

Q: Q#4: (i) What is the projected level of revenue in 3 years for a company with current revenues of…

A: (i).       The present value is the value of the sum received at time 0 or the current period.  It…

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = x2 - 5y2, subject to x - y = 12

A:

Q: Suppose that r+ yl + lr - yl = 2. What is the maximum possible value of 2- 6z + y? (A) 5 (B) 6 (C) 7…

A: Consider a equation: x+y+x-y=2……1   and the expression, x2-6x+y2……2

Q: 4 3.2x Y=x'e write the point where it is the absolute minimum with and Coordinetes. the

A:

Q: Determine the maximum and minimum points of the given functions below. h(z)=4z3−3z2+9z+12

A:

Q: Y = 0.75X + 0.0042X2 – 0.00023x3 At what level of X, the output will be maximum?

A: Given: .

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

A:

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

A:

Q: Step 4 To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X…

A:

Q: The CMO of ABC Company presumed that the demand for a Product Y can be modeled by p=80-0.01y where p…

A: Maximum profit will occur at that value of x when derivative of profit function is zero. We will…

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 number of people P(t) (in thousands) infected t months after an epidemic begins 5 - where…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly aks…

Q: Find the minimum and maximum values of the function f(x, y, z) = 5x + 6y + 4z subject to the…

A: Here we have f(x,y,z)=5x+6y+4z subject to the constraint x2+6y2+6z2=1 Let g(x,y,z)=x2+6y2+6z2-1

Q: In a hybrid-engine vehicle, energy from battery (“b" in Amperes) and from 95 octane unleaded…

A:

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: A scientist satisfies the equation: (a) (b) (c) Q(t) of a substance present at ti 40"(t) + 4Q'(t) +…

A: The amount of a substance present at time t≥0 satisfies 4Q''(t)+4Q'(t)+Q(t)=0

Q: f(x) = x² – 4mx + 6 %3| 7- Since the local minimum value of the function is -30, m = ? (m will be…

A: The given function is; f(x) = x2-4mx+6

Q: A manufacturer determines that the profit P (in dollars) obtained by producing and selling x units…

A: Given:            Profit model:                              P(x,…

Q: Complete answer and solution only no need explanation What is the velocity in m/s at 16s using…

A: Please check step 2 for the solution.!

Q: A financial department of a company has arrived at the following Cost and Price function p(x) =…

A: At Break Even Point (BEP) cost and prize are equal (means profit Z = P(x)-C(x) is zero) We have…

Q: What level of production will maximum potential profit given the parabolic profit function, profit =…

A: Answer

Q: Find the absolute maximum value and absolute minimum value of f(x, y) = 2a2 + 2y² + 4y – 1 on the…

A:

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: 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.…