1. (4.5B 1) In the TOYCO model, suppose the fourth operation has the following specifications: The maximum production rate based on 480 minutes a day is either 120 units of product 1. 480 units of product 2, or 240 units of product 3. Determine the optimal solution, assuming that the daily capacity is limited to a) 570 minutes. b)548 minutes. TOYCO's Primal LP: Maximize subject to x1 train, x2 truck, x3 = car TOYCO's Optimal Tableau: z = 3x1 + 2x2 +5x3 1 + 2x2+x3430 3x1+2x3460 x14x2420 X1, X2, X3 0 Z X X2 X3 X4 X5 X6 RHS 1 4 0 0 1 2 0 1350 X2-1/4 1 0 1/2 -1/4 0 100 X3 3/2 0 1 0 1/2 0 230 X6 2 0 0 -2 1 1 20 TOYCO's Dual LP: Minimize w=430y + 460 y2 + 420 y3 s.t. y+3y2+y33 2y+4y322 y+2y25 V1, 12, 1320 y =1, y =2, y = 0, w* = 1350