QUESTION 1:

\fFind the critical point of the function f(x, y) = 6 - 6x + 8x2 - 3y + 2 This critical point is a v Select an answer Saddle Question Help: D Vi Minimum Maximum\fA company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the rst model mader and lety represent the number (in millions) of the second model made. The company's revenue can be modeled by the equation R(:I:, y) 2 80:1: + 1703; 3:1:2 4y2 my Find the marginal revenue equations We can acheive maximum revenue when both partial derivatives are equal to zero. Set Rm 2 0 and R:y = 0 and solve as a system of equations to the find the production levels that will maximize revenue. Revenue will be maximized when: An engineer is designing a pipeline which is supposed to connect two points P and S. The engineer decides to do it in three sections. The first section runs from point P to point Q, and costs $50 a mile to layr the second section runs from point Q to point R and costs $48 mile , the third runs from point R to point S and costs $44 a mile. Looking at the diagram below, you see that if you know the lengths marked x and y, then you know the positions of Q and R. Find the values ofx and y which minimize the cost of the pipeline