1. A electronics manufacturer determines that the profit P (in dollars) obtained by producing and selling x units of a DVD player and y units of a DVD recorder is approximated by the model 1 P(x, y) = 8x + 10y (x² + xy + y²) – 10000 100 - Find the production level that produces a maximum profit. What is the maximum profit?

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: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by 3 L(x,y) = x²…

A: We will use partial derivative to find x and y.

Q: Find the point of minimum values of the function f(x,y) = 2x^(2) + 3y^(2) − 4x − 5 on the domain…

A:

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

A:

Q: What is the absolute maximum and the absolute minimum of the function f(x,y,x) = x2 + y2 + z2,…

A: A detailed solution is given below. We can use Lagrange's multiplier to solve the problem.

Q: The Cobb-Douglas production function for a particular product is N(x,y) = 40xy2, where x is the…

A:

Q: Find the minimum value of x²+y² + z²,

A:

Q: 1. After an aggressive marketing campaign in the local community, Lumyn Electronics discovered that…

A: The total cost in a month, C is given by the function:C = 25n2 - 1,500n + 25,000 where n represents…

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: Suppose that the Best Custom Calendar Company models the coming year's revenuse and cost functions,…

A: R(x) =-x3+9x2 and C(x)=2x3-12x2+30x

Q: Use Lagrange multipliers to find the maximum production level when the total cost of labor (at $113…

A:

Q: The Orange Corporation has a new product, Alpha, it is planning to launch. Market research has led…

A: We have to find profit.

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. What is the points for a, b and c to this LP problem? b. What is the maximum profit? Show all…

A:

Q: If C(x) is the cost of manufacturing an amount x of a given product and $8 is the price per unit…

A:

Q: Suppose f'(x) =xr++x³– 6x². Determine the value of x where f has a relative minimum value.

A: F''(2)  greater then 0

Q: 2. A fertilizer producer finds that it can sell its product at a price of p = 300 -0.1.x dollars per…

A:

Q: 2. The Minimum point of y= 320

A:

Q: The quantity, Q, of a good produced depends on the quantities x, and x₂ of the two main materials…

A: The main objective is to find the minimum cost of producing 100 units by using Lagrange multipliers.

Q: A product can be produced at a total cost C(x) = 800 + 100x ^ 2 + x ^ 3 dollars , where x is the…

A: Find the profit function P(x) as the difference of the revenue function R(x) and cost function C(x).…

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: Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose the…

A:

Q: Minimize g=10x+9y Subject to 4x+y≥19   2x+y≥13 x+4y≥24 x≥0 y≥0 What is the minimum value and at…

A:

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

A: Given that the labor cost is approximated by the function Lx,y=32x2+y2-8x-6y-2xy+197.Here x is…

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: x=−10 or x=1,000? The company can choose to produce either 70 or 80 items. What is their profit for…

A: Profit function

Q: What are the local max and minimum points of y=x^3-3x+1

A: The given function is: y=x3-3x+1

Q: For a certain company, the cost function for producing x items is C(x)=30x+200 and the revenue…

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Q: . Find the minimum value of C = 3x + 5y subject to %3D 4x +3y > 240 4x + y > 120 y > 0

A: 4x+3y≥240 divide both sides by 240 4x240+3y240≥240240 x60+y80≥1 compare this equation with the…

Q: A manufacturing company makes door hinges. The cost function for making a hinges per hour is C(x) =…

A: The cost function for making x hinges per hour is C(x)=0.0007x3-0.1796x2+14.663x+160 The critical…

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

A:

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y) = x² +…

A: Given: The labor cost(in dollars) for manufacturing a camera is approximated by, L(x,…

Q: The number of oil changes per hour at Quick Lube is described by the following short-term production…

A: answer is in next step .

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: c) What is the loss the company incurs when it tries to maximize sales (that is, produce the maximum…

A: Find out the loss the company when it tries to maximize the sales.

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by  L(x,y)=…

A:

Q: Find the value for x for which the graph of y =2e reaches its first minimum value.

A: To find the value for x for which the graph of below equation reaches its first minimum value.…

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y)=…

A: Given :Lx,y=32x2+y2-3x-6y-2xy+101

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: 2. The Minimum point of y = 8x+4 (x-2)²

A:

Q: 1. The Maximum point of y= 9-x² x²-4

A: This is a problem related to maxima and minima. Based on the general formula and concept we will…

Q: For a certain company, the cost function for producing x items is C(x)=50x+150 and the revenue…

A: Answer: As per guidelines , i have done only first 3 sub parts :

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: Suppose a company has fixed costs of $32,000 and variable cost per unit of 1/3x + 444 dollars,where…

A: It is given that,

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -…

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx,…

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

A:

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: c) A student wishes to allocate her available study time of 60 hours per week between two subjects…

A: Given that, g1(t1)=20+20t1g2(t2)=-80+3t2 As we know the grade average is g1(t1)+g2(t2)2. Now the…