Please solve the following attached image file In a model containing two variables X and Y, where X is a positive continuous value and Yis binary integer, we wish to include the constraint that Y becomes 1 when X > 20. There isa cost attached to Y in the objective function, so it would stay at 0 unless forced to be 1.The correct way to model this constraint as a linear relationship is:○ (X-20) (1-Y) ≥0XY ≥ 20OY(X-20) where M is a sufficiently large positive number.O (X-20) (Y-1)=0O Y=IF(X > 20,1,0)OY≥

Answered: Image /qna-images/answer/b6548a37-ab5f-45db-a682-15bfd397566f.jpg

Answered: In a model containing two variables X…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section: Chapter Questions

Problem 4PT

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Suppose that a company that makes sweatshirts has a linear demand function of qD = –13p + 500 and a linear supply function of qS = 6p + 120, where p is the price of each sweatshirt and q is the quantity, or number of sweatshirts. How many sweatshirts are made and sold if the market is in equilibrium? (i.e., What is the equilibrium demand?) You do not need to type units on your answer.
2) A firm is a monopoly for the good it produces. Its average variable cost function is AVC = q + 4 and it has fixed costs of 1. The demand equation for its good is given by q = 20-p. Find expressions, in terms of q, for the total revenue and profit functions. Determine the production level q that gives the maximum profit. Also, find this maximum profit.
You are asked to express one variable as a function of another. Be sure to state a domain for the function that reflects the constraints of the problem. x², where x is the width of the rectangle. Compute the numbers In Example 1 we considered a rectangle with perimeter 100 cm. We found that the area of such a rectangle is given by A(x) = 50x А(2), A(11), А(20), A(25), and A(32). A(2) A(11) = A(20) = A(25) = A(32) = Which width x seems to yield the largest area A(x)? X =
A company manufactures à units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function C = 3x² + 2xy + 7y² + 500. (a) If the production quota for the total number of items (both types combined) is 44, find the minimum production cost. cost = (b) Estimate the additional production cost or savings if the production quota is raised to 45 or lowered to 43. production cost or savings =
The financial department for a company established the following cost function for producing and selling x thousand notebook computers: C(x) = 4,000 + 500x thousand dollars Write a profit function for producing and selling x thousand notebook computers and indicate its domain. Complete the below table, computing profits to the nearest thousand dollars. Note: Price-demand function = p(x) = 2,000 – 60x. Domain = 1 <= x <= 25. Revenue already calculated for you x (thousands) R(x) = Revenue C(x) = Costs P(x) Profit (thousand $) 1 1,940 -2,560 5 1,700 10 1,400 15 1,100 20 800 25 500
4) The cost of making x items is C(x)=15+2x. The cost p per item and the number made x are related by the equation p+x=25. Profit is then represented by px-C(x) [revenue minus cost]. a) Find profit as a function of x b) Find x that makes profit as large as possible c) Find p that makes profit maximum.
Please formulate the problem and show step by step
A company sells two different types of candles, and their profit function for a week is given by p(x, y) = x³ + x?y + 2y², where x represents the amount red candles and y represents the amount of green candles, in thousands. Determine how many of each candle the company should make to maximize their profit, if the factory can only make 1000 total candles in a week.

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