A city has two routes between Downtown and one of the suburbs. One is a more...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A city has two routes between Downtown and one of the suburbs. One is a more direct route but it crosses a bridge with only one lane. The other is a highway with many lanes. City planners have found that they can model the time each route takes based on the number of people attempting to take that route each minute. The highway has excess capacity so it takes 30 minutes regardless of how many people use it. The bridge route is slower when more people use it $time=X$ where X is the number of people choosing that route. The city currently has about 100 commuters each minute during rush hour. You are deciding which route to take during rush hour. Determine the following: for what values of X (including you) is the bridge is faster, for what values of X is the bridge slower, for what value of X are you indifferent between taking the bridge and the highway (call this number of commuters, where you are indifferent $X^*$). Assume that other commuters are like you, and if the bridge is faster, they take the bridge. If the highway is faster, they take the highway. If some commuters take the bridge so that $X-X^*$, then no commuters want to switch routes (this is a Nash Equilibirum of the game). Answer the following: What is the value $X=X^*$ such that you are indifferent between the bridge and the highway? A city has two routes between Downtown and one of the suburbs. One is a more direct route but it crosses a bridge with only one lane. The other is a highway with many lanes. City planners have found that they can model the time each route takes based on the number of people attempting to take that route each minute. The highway has excess capacity so it takes 30 minutes regardless of how many people use it. The bridge route is slower when more people use it $time=X$ where X is the number of people choosing that route. The city currently has about 100 commuters each minute during rush hour. You are deciding which route to take during rush hour. Determine the following: for what values of X (including you) is the bridge is faster, for what values of X is the bridge slower, for what value of X are you indifferent between taking the bridge and the highway (call this number of commuters, where you are indifferent $X^*$). Assume that other commuters are like you, and if the bridge is faster, they take the bridge. If the highway is faster, they take the highway. If some commuters take the bridge so that $X-X^*$, then no commuters want to switch routes (this is a Nash Equilibirum of the game). Answer the following: What is the value $X=X^*$ such that you are indifferent between the bridge and the highway?
Expert Answer:
Answer rating: 100% (QA)
During rush hur 100 mmuters If X 30 then the bridge ... View the full answer
Related Book For
Finite Mathematics and Its Applications
ISBN: 978-0134768632
12th edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
Posted Date:
Students also viewed these mathematics questions
-
A city has two newspapers. Demand for either paper depends on its own price and the price of its rival. Demand functions for papers A and B respectively, measured in tens of thousands of subscribers,...
-
A city has two competing news stations. From a survey of regular listeners, it was determined that, of those who listen to station A on a particular day, 90% listen to station A the next day and 10%...
-
A salt contains only barium and one of the halide ions. A 0.158-g sample of the salt was dissolved in water, and an excess of sulfuric acid was added to form barium sulfate (BaSO 4 ), which was...
-
Find a and b if, y= ax+b has mean 6 and variance is unity, where x is a random variable with mean 8 and variance 16.
-
Make a depreciation schedule like Table 17-6 for the first three years for an asset that costs $141,250 and was placed in service midyear under the MACRS as a five-year property.
-
Discuss the sampling strategy and technique used to access the appropriate sample. Develop a hypothetical research scenario that would necessitate the use of a Solomon N-Group Design. The research...
-
Derive the first two equations of Equation 2.44. Q11=U+U cos 20+ U3 cos 40 Q12 U4-U3 cos 40 Q22 2=U-U cos 20+ U3 cos 40 U2 Q16 sin 20+ U3 sin 40 2 us Q26 sin 20-U3 sin 40 2 Q66 = (U-U4)-U3 cos 40...
-
Gomez Co. had the following transactions in the last two months of its year ended December 31.Nov. 1 Paid $1,800 cash for future newspaper advertising. 1 Paid $2,460 cash for 12 months of insurance...
-
develop an FTE variance reporting document that will be used for department managers to explain variances in FTE utilization compared to benchmarks. Make sure to address how and when managers will be...
-
Bills Boards (BB) is an outdoor advertising company founded by William Longfall. William knows very little accounting so he hired a friend to keep the books. Unfortunately, William did not review his...
-
Read the Wall Street Journal Article " GE Exits Lightbulb Business It Pioneered" then answer the following: What challenges has GE's lighting business faced over time? Answer in detail. Describe how...
-
Perit Industries has $155,000 to invest in one of the following two projects: Project B $ 0 Cost of equipment required Working capital investment required Annual cash inflows Salvage value of...
-
K In fall 2006, Pace University in New York raised its annual tuition from $24,250 to $29,000. Freshman enrollment declined from 1,450 in fall 2005 to 1,150 in fall 2006. Assuming that the demand...
-
a) Let R be the relation on the set A = {1, 2, 3, 4} defined by R = {(x, y)/x + 3y 12}. Find the matrix representing R R. b) Suppose that the relation R is defined on the set Z where aRb means: ba",...
-
One version of a Tesla electric car can go from rest to 2 6 . 8 meter / s ( 6 0 . 0 miles per hour ) in just 2 . 3 0 seconds. ( a ) Find the average acceleration in m / s 2 . ( b ) Assuming constant...
-
c. Use a rectangular array of base-ten pieces to illustrate the quotient. Label the components of the (generic) sketch and answer the questions. Assume the quotient is the top of the array. i) The...
-
Choose a favorite story (Good choices would include.... Fairytales, Myths, "Larger Than Life" stories of people, animals, or events) Please make sure you select a different story from the one you...
-
Write a function that reads a Float24_t value: Float24_t float24_read(void) A legitimate float24 value string is of the form: "mantissabexponent" where the mantissa (m) and the exponent (e) may have...
-
1. Suppose that the sportswriter in Exercise 36 simply puts the 12 team names in a hat and draws 3 completely at random. Does this increase or decrease the writer's chance of picking at least one...
-
The distributive law says that (A + B)C = AC + BC. That is, adding A and B and then multiplying on the right by C gives the same result as first multiplying each of A and B on the right by C and then...
-
In the World Series, the American League team ("A") and the National League team ("N") play until one team wins four games. Each sequence of winners can be designated by a sequence of As and Ns. For...
-
Determine the longitudinal tensile strength of the hybrid carbon/aramid/ epoxy composite described in Problem 3.4 and Figure 3.10 of Chapter 3 if the fiber packing array is square with the closest...
-
For the IM-9/8551-7 carbon/epoxy composite rod design of Problem 3.3 in Chapter 3, what would be the increase in the longitudinal tensile strength compared with that of the original 6061-T6 aluminum...
-
Assuming that the failure mode for longitudinal compression of unidirectional E-glass/epoxy with fiber volume fraction \(v_{\mathrm{f}}=0.6\) is a transverse tensile rupture due to Poisson strains,...
Study smarter with the SolutionInn App