(Solved): Solve using Lagrange multigliers. (The stated extreme values do evist.) A company manufactures two ...

Solve using Lagrange multigliers. (The stated extreme values do evist.) A company manufactures two products, in quantives \( x \) and \( y \), Rocause of fimited materials and kapctal, the quantities produced must swisfy the : (a) If the company's prefit function is \( \rho=4 x+5 y \) dollars, how many of each product should be made to mavimize prone? \[ \begin{array}{ll} x= & x \\ y= & x \end{array} \] (b) Find the maximum proft (in dollars).