Question

In: Advanced Math

Maximizing Profit The total daily revenue (in dollars) that a publishing company realizes in publishing and...

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.)

$ _____

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