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Each morning during rush hour, 10,000 people want to travel from New Jersey to New York City. If a person takes the subway, the trip lasts 40 minutes. If x thousand people per morning drive to NYC, it takes 20+5x minutes to make the trip. This problem illustrates a basic fact of life: if people are left to their own devices, they will cause more congestion than need actually occur! +
a) Show that if people are left to their own devices, an average of 4,000 people will travel by road from NJ to NYC. Here you should assume that people will divide up between subway and road in a way that makes the average travel time by road equal to the average travel time by subway. When this "equilibrium" occurs, nobody has an incentive to switch from road to subway or vice versa. This is known as the "user optimal" scenario.
b) Show that the average travel time per person is minimized if 2,000 people travel by road. This is known as the "system optimal" scenario.
c) What percent worse than system optimal is the user-optimal scenario?
Problem: In the circuit of Figure P2 use KCL and KVL to find α such that the voltage across the 2 Ω resistors is 4 V.
Select a financial institution and find out what it takes to qualify for a loan. Try to understand the rationale for the institution's rules, policies, and guidelines about loan approval.
Suppose that the distribution of a random variable X is approximately exponential with a mean of 10:
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What is the optimal number of tables the company should produce during the current production cycle?
1. A retail store manager with Petrie Stores, Inc, wants to develop a multiple regression model to predict the amount of sales of a product per month Y from monthly advertising expenditures X1 and whether the month was December (coded 1) or anothe..
the speedem-feedem airline must decide how many new flight attendants to hire and train over the next six months. the
This is liner programming problem for optimization of an objective function subject to some liner constraints. There are two profit maximization problems and two cost minimization problems.
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