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?

THIS IS A MATHEMATICAL ECONOMICS SUBJECT

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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…

Exercise 5.1. For each of the following sentence, state whether it is an atomic proposition or a compound proposition or neither. (a) Today is a hot day. (b) 9+8-7=44. (c) y = 6x or x = (1/6)y. (d) Is it too loud or too quiet in here?

What are the three Gauss–Markov conditions? Explain.

Mr. Jones sells scrapbooking materials. He charges $20 per album and sells 120 albums month at this price. He plans to decrease the price to generate more sales. A survey indicated that for every $0.50 decrease in price, he can expect to sell 5 more albums.   Write the expressions for the price of an album and the number of albums sold in one month Write an equation for the revenue using your expressions from part a. What price will generate the maximum revenue? What is the maximum revenue he can generate in one month?

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Question 2 Which of the following are discrete random variables? A The spin of a roulette wheel B The amount of time until you next cough C) A coin toss D) The height of the next person to enter the room E The amount of rainfall in millimetres in Capel Curig during the next 24 hours