Problem 4 (20 pts) A trucker needs to take two types of items on a truck. Each item 1 weighs w, lb and gives the trucker a profit margin of $ p, w> 0 and pz > 0. Each item 2 weighs w, lb and gives the trucker a profit margin of $ P2; wg > 0 and pz > 0. The truck can hold items weighing at most W lb, W > 0. Please formulate an LP to maximize the trucker's profit assuming that the trucker can carry a fractional number of items. Please apply the simplex algorithm to compute optimal solutions and optimal values represented by W, W2, P1, P2, and W