In this problem you will maximize and minimize the objective function

Q: Find the maximum value of the objective function z = 3x + 5y subject to the constraints x 2 0, y >…

A: We find the region for variables by drawing the lines x=0, y=0, x+y=1, and x+y=6. x=0 and y=0 are…

Q: Find the objective function in the given problem (in terms of w) if the constraint is that the sum…

A: Note: Please provide complete instructions for first problem. Given  The box has a sum of length,…

Q: An airline finds that if it prices a cross-country ticket at $500, it will sell 300 tickets per day.…

A: Question- An airline finds that if it prices a cross-country ticket at $500, it will sell 300…

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ — 210x² + 3600x - 200,…

A:

Q: What is the objective function of the given problem below? A retiree has 60 garden plots on which…

A: Objective function is a main function which we need to optimize(either maximize or minimize) and it…

Q: the demand function is p(x)= 600x-.02x^2 for 15,000<x<30,000, find the number of units that will…

A: The demand equation is  px=600x−0.2x2 To find: The number of units that maximize the revenue The…

Q: Suppose the objective function is Q = x2y and you know thatx + y = 10. Write the objective function…

A: To write the objective function in terms of x and then in terms of y.

Q: Find the maximum value of the objective function z = 2x + y subject to the following constraints: x…

A: Consider the given set of inequalities:

Q: Find the maximum value of the objective function 9у — 3х subject to the constraints 8x – 11y < 23,…

A: Consider the given objective function and constraints to find the maximum value.

Q: Consider the following optimization problem: Prime Paints manufactures two types of paints, one for…

A: We will construct a linear programming problem according to the given conditions. Let x ton and y…

Q: If the total revenue function for a computer is R(x) = 1800x – 23x2 - x³, find the level of sales,…

A:

Q: A company needs 450,000 items per year. Production costs are 500$ to prepare for a production run…

A: Let the number of items in each production be  Therefore, Number of production  Total storage cost…

Q: The price of A is $1 per unit and the price of B is $7 per unit and you spend 350. How many units of…

A: It is given that, the equation is U = a2 +b2 and the price of A is $1 per unit and the price of B is…

Q: Assuming that the company sells all that it produces, what is the profit function? P(x)=   . Hint:…

A:

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

A: Answer is mentioned below

Q: There is a maximum of 6,000 hours of labor available per month and 300 ping-pong balls (x1) or 200…

A:

Q: A company manufactures two types of sneakers: running shoes and basketball shoes. The total revenue…

A: Given ,Revenue from x1 units of running shoes and                           x2 units of basketball…

Q: Maximize the objective function subject to the constraints 4x + y ≤ 56, 5x + 4y ≤ 92, x ≥ 0, and y…

A: These feasible region is shaded

Q: If the profit function for a firm is given by  P(x) = −1600 + 170x − x2  and limitations on space…

A: Here we have to find the break even point for given  profit function

Q: Show that if r(x) = 6x and c(x) = x3 - 6x2 + 15x are your rev-enue and cost functions, then the best…

A: Break even point occurs when profit is zero.We have given r(x) = 6x and c(x) = x3 - 6x2 + 15x are…

Q: If the cost function C(x) = x2 + x + 100, in Iraqi dinars, where x is the production size. The…

A: To find the average cost function, divide the cost function Cx=x2+x+100 by the production size x.…

Q: In this problem you will maximize and minimize the objective function P = 5x + ly subject to the…

A:

Q: In this problem you will maximize and minimize the objective function P = x + 5y subject to the…

A:

Q: (a) Find the objective function to be used to maximize profit. Let x, be the number of Basic Sets,…

A: We will make a maximizing function

Q: A one-product firm estimates that its daily total cost function (in suitable units) is C(x) = x3 -…

A: Given that, Cost function = C(x) = x3-6x2+13x+15 Revenue function = R(x) = 28x Then the profit…

Q: In an optimization problem, how many variables should eventually occur in the function we are trying…

A:

Q: 2. Leodegaria Corporation produces a product in 100gallon batches. The basic ingredients used are…

A: Total output per batch = 100 gallon Cost of X = P40 per gallon Cost of Y = P20 per gallon

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

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: Suppose S = x + 2y is an objective function subject to the constraintxy = 50, for x &gt; 0 and y…

A: Given: S=x+2y is an objective function subject to constraint xy=50, for x&gt;0, and y&gt;0 To Find:…

Q: For a certain company, the cost function for producing x items is C(x)=50x+100 and the revenue…

A: Given  C(x)=50x+100 R(x)=−0.5(x−90)2+4,050. The maximum capacity of the company is 120 items

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: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

Q: Maximize the objective function subject to the constraints 4x + y ≤ 44, 5x + 4y ≤ 88, x ≥ 0, and y…

A: Given: 4x + y ≤ 44, 5x + 4y ≤ 88, x ≥ 0, and y ≥ 0. Z = 4x + y

Q: If the total revenue and total cost (in dollars) are given by R(x) = 5x – 0.003x² - C(x) = 300 +…

A:

Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

A:

Q: Explain why it is impossible for three adjacent corners of a region of feasible solutions to…

A: According to the given information, it is not possible for three adjacent corners of a region of…

Q: A closed rectangular box of volume 324 cubic inches is to be made with a square base. If the…

A:

Q: There is a maximum of 6,000 hours of labor available per month and 300 ping-pong balls (x1) or 200…

A: Let x1 is the Number of  ping pong balls we can produce ping pong balls at the rate of 300 per hour…

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: If the profit function for a firm is given by P(x) = -2400 + 140x - x and limitations on space…

A: Break- even point of the profit function

Q: If the profit function for a firm is given by  P(x) = −5700 + 220x − x2  and limitations on space…

A: A company’s break-even points occur where the revenue function and the cost function have the same…

Q: A firm can produce 500 units per week. If its total cost function is  C = 200 + 1000x  dollars and…

A: Given:

Q: Suppose the objective function P = xy is subject to the constraint10x + y = 100, where x and y are…

A: We have the objective function as P=xy it is subject to the constraint 10x+y=100

Q: A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular…

A: Let, x denotes the half width of the rectangle.y denotes the height of the rectangle.And…

Q: What combination of x and y will provide the optimal solution and maximize the objective function…

A: I have solved using simplex algorithm

Q: A certain magical substance that is used to make solid magical spheres costs $500 per cubic foot.…

A: The solution of the problem is given in the next step.

Q: If the objective function involves more than one independentvariable, how are the extra variables…

A: Query- If the objective function involves more than one independent variable, how are the extra…

Q: Suppose that the revenue in selling x tables is equal to 200x – 0.25x“ dollars, and the cost of…

A: Here is the solution: