The performance function for a highway connecting a suburb with the business district can be represented...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The performance function for a highway connecting a suburb with the business district can be represented by a straight line of the form t = a + bp, where t is the travel time in minutes, q is the traffic flow in vehicles per hour, and a and b are constants equal to 15 minutes and 0.01 minute/vehicle-hour, respectively. The demand function, also represented by a straight line, is q = c - dt, where cand d are constants equal to 6000 vehicles/hr and 150 vehicles/hour/minute, respectively. (a) Find the equilibrium flow (q*) and the corresponding equilibrium time (t*) algebraically, and sketch the functions. (b) If the length of this highway is 25 miles, what is the average speed of vehicles along this highway? (c) It is proposed to improve this highway such that constant b is now 0.005. What would be the new values of t* and q* and what would be the average speed on this highway? The performance function for a highway connecting a suburb with the business district can be represented by a straight line of the form t = a + bp, where t is the travel time in minutes, q is the traffic flow in vehicles per hour, and a and b are constants equal to 15 minutes and 0.01 minute/vehicle-hour, respectively. The demand function, also represented by a straight line, is q = c - dt, where cand d are constants equal to 6000 vehicles/hr and 150 vehicles/hour/minute, respectively. (a) Find the equilibrium flow (q*) and the corresponding equilibrium time (t*) algebraically, and sketch the functions. (b) If the length of this highway is 25 miles, what is the average speed of vehicles along this highway? (c) It is proposed to improve this highway such that constant b is now 0.005. What would be the new values of t* and q* and what would be the average speed on this highway?
Expert Answer:
Related Book For
Operations management processes and supply chain
ISBN: 978-0136065760
9th edition
Authors: Lee J Krajewski, Larry P Ritzman, Manoj K Malhotra
Posted Date:
Students also viewed these accounting questions
-
Match the descriptions below with the correct answer, using the letter codes shown in the table below. (8 points) A. Realizable value B. Percentage of receivables method C. 3/10, n/60 D. Bad debt...
-
Selling price = $15 per unit Variable costs - variable manufacturing costs = $5 per unit variable selling costs = $2 per unit Fixed costs - Fixed manufacturing costs = 4 per unit Fixed selling costs...
-
Custom Cabinetry has one job in process (Job 120) as of June 30; at that time, its job cost sheet reports direct materials of $6,000, direct labor of $2,800, and applied overhead of $2,240. Custom...
-
Boeing Company was scheduled to deliver several of its 747-400 jumbo jetliners to Northwest Airlines by December 31, 1988. Northwest set that deadline because it needed the $16 million in investment...
-
Lotts Company produces and sells one product. The selling price is $10, and the unit variable cost is $6. Total fixed cost is $10,000. Required: 1. Prepare a CVP graph with Units Sold as the...
-
For the same states that you used in Research Problem 2, list the number of Federal estate tax returns filed and the estate tax liabilities collected, for the latest year with figures available. Use...
-
Banks advertise to attract customers.
-
Palo Alto Corporation is considering purchasing a new delivery truck. The truck has many advantages over the companys current truck (not the least of which is that it runs). The new truck would cost...
-
Carla Vista Lumber, Inc., is considering purchasing a new wood saw that costs $55,000. The saw will generate revenues of $100,000 per year for five years. The cost of materials and labor needed to...
-
Which series has the highest beta. BraveNewCoin Liquid Index for Bitcoin 1D BNC Trading Brave Ne Yellow Green Blue Orange
-
There are specific planning tools and techniques designed and refined since the advent of project management. Select an industry of your choice and evaluate ANY FIVE (5) "tools and techniques" that...
-
Make an argument that allows you to advocate for a policy change for young teenage boys incarcerated that have no access with education. Title: A good title quickly communicates the contents of the...
-
The soil profile at a site consists of 1.5 m of sand underlain by a 6 m thick clay layer. The water table coincides with the top of the sand layer. The saturated unit weight (Ysat) of the sand and...
-
6. Compute all leading principal minors of the following square symmetric matrices and use them to determine whether the matrix is positive definite, negative definite, or neither. [22-11] a. [4 b. 1...
-
As we have seen in this course, virtually every generation has felt that the existing threat to its privacy was unprecedented in nature. That said, the sheer capacity to collect metadata which exists...
-
Express the equation in exponential form. A) log(16) = 4 That is, write your answer in the form 24 = B. Then indicate what A and B are. B) log, (3125) = 5 That is, write your answer in the form 50 =...
-
1. The logical progression of programming includes the: a.commitment stage b.intention stage c.five programming stages d.six stages of retention 2. In terms of developing a successful program: a.some...
-
Study the pictures/images below. Obviously these was focus on LT sociology, anthropology and poltical science. Try to do some analysis by finding clues that are synonymous with the main concepts....
-
Use trial and error to find a particularly good block plan for Baker Machine. Because of excessive relocation costs, shipping and receiving (department 3) must remain at its current location. Compare...
-
The Kool King Company has followed a policy of no layoffs for most of the manufactures tile, even though the demand for its air conditioners is highly seasonal. Management wants to evaluate the cost...
-
Two new alternatives have come up for expanding Grandmothers Chicken Restaurant (see Solved Problem 2). They involve more automation in the kitchen and feature a special cooking process that retains...
-
1.5 Moscow to Tokyo. After spending a week in Moscow, you get an email from your friend in Japan. He can get you a very good deal on a plane ticket and wants you to meet him in Tokyo next week to...
-
1.6 Mark Du Plessis in Johannesburg. Mark Du Plessis lives in Johannesburg, South Africa. He can buy a euro for R16.3700 (South African rand). At the same time, Richard Nolan, living in Paris, can...
-
1.7 Mexico's Cada Seis Aos. Mexico was famous-or infamous-for many years for having two things every six years (cada seis aos in Spanish): a presi- dential election and a currency devaluation. This...
Study smarter with the SolutionInn App