The Starr Soccer Company makes 2 types of soccer balls. Let x represent the number of Maribel Dominguez soccer balls produced and y represent the number of Lionel Messi soccer balls produced. The monthly cost and revenue functions are given: C(x,y)= 3900 + 8z + 9y R(x,y)= 55z + 3ly + 6zy - 3x2 - 2y? a) What is the equation of the profit function ? P(x,y)= b) What is the profit when 180 of the Lionel Messi soccer balls and 150 of the Maribel Dominguez soccer balls are sold? dollars. Suppose a dog house manufacturer sells two types of dog houses. Let x represent the demand for the deluxe dog house, in thousands, and y represent the demand for the regular dog house, in thousands. If the price-demand functions for the two dog houses respectively are P1 = 8.2 - 0.5x - 0.2y P2 = 7.9 - 0.3x - 0.7y a) What is the equation of the revenue function ? R(x,y) = x"P, + y"P2 = b) What is the revenue when the demand for deluxe dog houses is 9 and regular dog houses is 3? thousand dollars