Coke and Pepsi each choose one of two prices: "Low" (P = $2) or "High" (P = $3). There are 50 buyers who will pick the lowest price option. However, if the prices are the same, 25 will buy from Coke and 25 from Pepsi. For simplicity, assume there are no costs, so profit is just price times quantity. a. Draw the 2x2 payoff matrix and find Nash equilibrium.
b. Now assume that each company has 20 loyal buyers who buy their brand regardless of price. This leaves 10 non-loyal buyers that pick the less expensive option. Again, non-loyal buyers split evenly if the prices are the same. Draw the new payoff matrix and find Nash equilibrium.

Your task this week is to write a very simple spam classifier in python. it will classify messages as either spam (unwanted) or ham (wanted). the program will have a set of spam_words, words that are known to appear in spam messages. that set is included in the template file spam.pypreview the document. you will also define a spam threshold which reflects the allowed percentage of spam words in the message. you'll compute a 'spam indicator', which is the ratio of spam words to the total number of unique words in the message. if the spam indicator exceeds the spam threshold, the message is classified as spam. otherwise it is classified as ham. we'll assume that the spam threshold is a constant and has a value of 0.10. your program will prompt the user for a message and then will print the corresponding spam indicator with two decimal digits and the corresponding classification (spam or ham). the program will be case insensitive. the spam words are detected whether they are in lower case or upper case or mixed case. each word, spam or not, is counted once (even if it appears multiple times in the message.) the program will remove punctuation from the message before identifying the words and computing the spam indicator. for example '! ' must be identified as the spam word 'now'.

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In a response of approximately 50 words, explain why it would be essential for the successful a/v technician to participate in additional coursework, presentations and seminars offered by equipment manufacturers as well as annual conferences attended by colleagues in the industry.