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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Due to Covid-19 pandemic, Michelle prefers to stay at home and work in an online typing job to have an extra income while the crisis is going in. She receives a fixed daily pay of 100php plus an incentive of 5php per page.a. Make a table that relates the number of pages she could type per day (x) and daily pay f(x).b. Based on the completed table, would the problem represent a linear function? c. What is the y-intercept? d. What linear function would represent the given problem? e. What would be her income if she was able to type 21 pages at a certain day? f. Sketch the graph that best describes the function.
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.
Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard model requires 5 hours to assemble and 1 hours for finishing touches. The artisan model requires 2 hours to assemble and 4 hours for finishing touches. Based on their current staffing, they can manage a maximum number of assembly hours available is 50 per day, and the maximum number of finishing hours available is 64 per day. Let x = the number of standard model bookcases produced per day and y = the number of artisan model bookcases produced per day. Write the system of inequalities that represents the maximum number of bookcases that can be produced in one day. 0 Graph the system of inequalities, remember to include x >0 and y > 0 in your graph to get full credit. You will need to include four lines. 25 24 VI
Suppose that the market for air travel between Chicago and Dallas is served by just two airlines, United and American. An economist has studied this market and has estimated that the demand curves for round-trip tickets for each airline are as follows: Qu = 10,000 - 100Pu + 99Pa (United's Demand); Qa = 10,000 - 100Pa + 99Pu (American's Demand) where Pu is the price charged by United, and Pa is the price charged by American. What is the market-level price elasticity of demand for air travel between Chicago and Dallas when both airlines charge a price of $300?
total commercial flight times between two cities (for jets) can be modeled by the following linear equation: time =rate (miles) + fixed where time is in hours and miles is the distance between the two cities. the fixed time in hours represents the time for the takeoff and landing phases of the flight. this fixed time is relatively constant for flights under normal conditions. given a 3-hour flight of 1,250 miles and a 4.5-hour flight of 2,100 miles, determine the rate (to 5 dec. places) and fixed time (to whole minute) for this linear model. rate = ________hours/mile. takeoff/landing time=_______min.
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.
Suppose that the market research found the following relationships for Apple's iPhone 14 in 2022 Supply equation: 2q-1/4p=100, where q (supply in millions) is the number of iPhone 14s that apple would produce if they could sell them for $p each demand equation: 15q+p=4200, where q (demand in millions) is the number of iPhone 14s consumers would buy if they were sold for $p each Find the equhibrium price p and supply demand using gauss-Jordan elimination
Two carpet cleaning companies have different pricing structures. CarpetShine charges 1.80 AUD per square metre, plus an upfront scheduling fee of 50 AUD. CleanMaster has no scheduling a service fee, but the rate is 2.50 AUD per square metre. Let C1(x) and C2(x) be the costs, in AUD, of cleaning x square metres of carpet area by CarpetShine and CleanMaster respectively. (a) Write down expressions for the costs, C1 and C2, of cleaning x square metres of carpet [2] area. (b) Find the least number of whole square metres of carpet area cleaned by CarpetShine for its services to be a cheaper option. [3]

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