The total daily revenue (in dollars) that Weston publishing realizes in
publishing and selling its English-language dictionaries is given by
R(x,y)= -0.005x^2 - 0.003y^2 - 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 cost of publishing these
dictionaries is given by C(x,y)= 6x +3y +200
dollars. Determine how many deluxe copies and how many standard copies Weston
should publish each day to maximize its profits. What is the maximum profit
realizable?
Postal regulations specify that the combined length and girth of a parcel post
may not exceed 130 in. Find the dimensions of the
rectangular package that would have the greatest possible volume under these
regulations.
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