In: Advanced Math
Maximizing Profit
The total daily revenue (in dollars) that a publishing company realizes in publishing and selling its English-language dictionaries is given by
R(x, y) = −0.005x2 − 0.003y2 − 0.002xy + 20x + 15y
where x denotes the number of deluxe copies and y denotes the number of standard copies published and sold daily. The total daily cost of publishing these dictionaries is given by
C(x, y) = 6x + 3y + 240
dollars. Determine how many deluxe copies and how many standard copies 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 the nearest cent.)
$ _____