Maximizing Profit
The total daily revenue (in dollars) that a publishing companyrealizes in publishing and selling its English-languagedictionaries is given by
R(x, y) = ?0.005x2 ? 0.003y2 ? 0.002xy +20x + 15y
where x denotes the number of deluxe copies andy denotes the number of standard copies published and solddaily. The total daily cost of publishing these dictionaries isgiven by
C(x, y) = 6x + 3y + 240
dollars. Determine how many deluxe copies and how many standardcopies the company should publish each day to maximize its profits.(Round your answers to the nearest whole number of copies.)
deluxe copies =
standard copies =
What is the maximum profit realizable? (Round your answer to thenearest cent.)
$ _____