6. Merlin the wizard sells pieces of dragon glass each week. He has...

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6. Merlin the wizard sells pieces of dragon glass each week. He has an arrangement with a dragon so that Merlin must pay 120 golden coins to the dragon each week plus 10 golden coins for each piece of dragon glass the dragon produces for him. Over the years, Merlin has kept careful track of his revenue and he found that the equation R(x) = 76a - 3x² is a reliable model for his weekly revenue R (in golden coins) when he sells x pieces of dragon glass. (a) [1pt] Write an equation for Merlin's weekly cost, C(2), measured in golden coins. (b) [2pts] How many pieces of dragon glass does Merlin need to sell each week in order to break even? (c) [2pts] How many pieces of dragon glass should Merlin aim to sell each week to maximize his profit? (d) [1pt] What is the maximum profit (in golden coins) Merlin can get from one week's worth of dragon glass sales?

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