You have been asked to perform an analysis to assist in deciding how much of two products to
produce to maximize the profit. The total profit associated with producing a units of product a
and b units product b is given as a single function that is given below:
𝑃𝑃(𝑎𝑎, 𝑏𝑏) = 0.2𝑎𝑎2−1.1𝑎𝑎+ 12√𝑏𝑏−2.5𝑏𝑏 where P is the total profit ($) a is the amount of product a to produce (tons) b is the amount of product b to produce (tons) The coefficients in front of each term (i.e., 0.2, 1.1, 12 and 2.5) convert the terms into US
dollars. Find the values of a and b that maximize C