MCF3M - Functions and Applications Date Section Q - Quadratic Functions Q12. A portable speaker costs $20 dollars to manufacture and is currently being sold for $50 on the market. At the current price, 200 speakers are sold per month. Each $1 increase in the price will result in 5 less speakers sold per month. Where x represent the price increase [ / 2] from the base line of $50. a) Write an expression for the following (you do not need to expand them): Price of each speaker ($) = Profit per speaker ($) = Number of speakers sold per month = Total profit = b) What is the price of each speaker that will result in the maximum profit (solve for x of the vertex, then substitute the x back into the "Price of each speaker" expression in part a). Include a concluding statement [ / 2]