Problem 2: Using four quarks (u, d, s, and c), construct a table of all the possible meson species. How many combinations carry a charm of 0 ? How many carry charm +1, and -1?

Suppose your worst enemy is standing over by the carnival games at (2,5) and wants to avoid you AT ALL COSTS. She takes a path that is parallel to yours and ends up at the roller coaster. What is an equation of the line representing your enemy's path?

a) You need to take a trip by a car to another town that you never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you choose, there are five other towns (call them A, B, C, D, E) through which you might pass on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, where a dash indicates that there is no road directly connecting these two towns without going through any other towns. Table 3: Miles between Adjusted Towns Town A B C D E Destination Origin 40 60 50 A 10 70 B 20 55 40 с 50 D 10 60 E 80 i) Formulate a network model for his problem as a shortest path problem by drawing a network where nodes represent towns, links represents roads, and numbers indicate the length of each link in miles. ii) Use the network form in i) to find the shortest path from origin to the destination.

THIS IS A MATHEMATICAL ECONOMICS SUBJECT

Please answer fast

6

Find the values of x1 and x2 where the following two constraints intersect. (Round your answers to 3 decimal places.)   (1) 10x1 + 5x2 ≥ 50 (2) 1x1 + 2x2 ≥ 12

2. Alex and Bill share a flat. Alex enjoys reading in silence, while Bill enjoys listening to loud music. Bill controls his music system, which can produce noise levels up to 100 Decibels. Bill has no cash but Alex has £100. Their utility functions are given by: UA = 10(100 – D)i + (100 – M), %3D Ug = 10(D)i + M, where D denotes the Decibel level chosen by Bill, and M denotes any cash given to Bill by Alex. (a) Explain how Bill's music level affects Alex. Find the contract curve between Alex and Bill. Why is there a unique Pareto efficient noise level? (b) What is the maximum amount Alex would be willing to pay Bill to turn down the music to the Pareto efficient level? What is the minimum amount Bill would be willing to accept in order to turn down the music to the Pareto efficient level? Can the Pareto efficient noise level be achieved through private bargaining?

question attached!

N=2 video broadcasting websites, You and Twi, must decide the number of minutes of ads to be displayed for every video that the user elects to watch. Let tY be the number of ad-minutes per video set by You, and tT the number of ad-minutes per video set by Twi. Streaming one video costs You cY=0.02, while it costs Twi cT=0.03. There are 100 million potential users, and each watches videos according to the following demand curves: qY((tY,tT) =10-2tY+tT=10-2tT+tY  a- What is the cross-price elasticity between You and Twi? b- Suppose, for now, that You and Twi enter an (illegal) agreement by which they set tY=tT=t  Derive the total number of users in the market as a function of t. Derive the profits for each website as a function of t. c- Now let the two platforms compete by each setting their number of ad-minutes: i. What is the best reply of You? What is the best reply of Twi? ii. Find the Nash Equilibrium of the game. iii. How many total users choose You and how many total users choose…