Question 1:

. Use partial derivatives to locate critical points for a function of two variables. A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the first model made, and let y represent the number (in millions) of the second model made. The company's revenue can be modeled by the equation R(:c, y) = 2003 + 1203; 49:2 23/2 my Find the marginal revenue equations RM: m: We can acheive maximum revenue when both partial derivatives are equal to zero. Set Rm = 0 and Ry = 0 and solve as a system of equations to the find the production levels that will maximize revenue. Revenue will be maximized when (Please show your answers to at least 4 decimal places): Apply a second derivative to identify a critical points as a local maximum, local minimum or saddle point for a function. Suppose that f(a:, y) = 72:21:12 + 79:2 + 8y2 then find the discriminant of f. :] Apply a second derivative to identify a critical points as a local maximum, local minimum or saddle point for a function. Suppose that f(a:, y) = 82932 '4y2+5\"+7y then find the discriminant of f