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
for each piece of dragon glass the dragon produces for him. Over the years, Merlin has
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
[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?
These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction
of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice.
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