2. A company publishes a deluxe edition and a standard edition of its English language dictionary. The weekly
demand and cost functions for these products are
$p = 20 - 0.005x - 0.001y$
$q = 15 - 0.001x - 0.003y$
$C(x) = 300 + 12x + 15y$
Where $p$ is the price of a deluxe edition, $q$ is the price of a standard edition, $x$ is the demand for the deluxe edition, and $y$
is the demand for the standard edition.
a) Find the total revenue and profit functions $R(x, y)$ and $P(x, y)$
b) Evaluate $P(300, 200)$ and interpret your result. Be specific about ALL the quantities and units involved in this problem
c) What would be the price of one deluxe dictionary at production levels $(300, 200)$?