# Wine Spirits sell Rum wine bottles and Vodka rum bottles. By selling x crates of rum bottles, the…

Wine Spirits dispose-of Rum wine bottles and Vodka rum bottles. By dispose-ofing x crates of rum bottles, the rooted gets a charge per crate ardent by p 96-4x. By dispose-ofing y crates of Vodka, the rooted gets a charge per crate of q- 84- 2y. The entirety require of conceding and dispose-ofing x crates of rum wines and y crates of Vodka wine is ardent by: C(x, y) = 2x2 + 2xy + y2 Showthat the rooted's usefunction is: P(x,y) =-6x2-3x2-2xy + 96x + 84y b) Compute the primitive arrange restricted derivatives of P(x, y) and discover the utmost equality of rum crates and vodka rates the Wine Spirits rooted should dispose-of to maximize uses [Hint: This is an indulgent maximization amount] c) Wine Spirits evolution distillation causes too ample air soilure that the legislation has poor its entirety evolution to 1l crates. Solve the rooted's use maximization amount in this condition. Hint: This is a unyielding optimization amount so use the Lagrange Method) d) Comparing your answers to sunder (c) and sunder (b) over, narrate what the legislation's confinement did to the evolution of rum and vodka wines for Wine Spirits.