Algebra Matrices

Use graphical methods to solve this linear Maximize z = 5x + 2y programming problem. subject to: 6x - y s 16 3x + y > 12 x23 ys9 2 Use graphical methods to solve this linear Maximize z = 2x + 6y programming problem. subject to: 2x - 3y s 12 x+ yz3 3x + 4y 2 36 x20 y20 3 Use graphical methods to solve this linear programming problem. Minimize z = 5x + 4y subject to: x- yz1 3x + 2y 2 18 x20, y20 A company is considering two insurance plans with coverage and premiums shown in the table. Policy A Policy B 4 (For example, this means that $50 buys one unit of plan A, consisting of $10,000 fire and theft Fire/Theft $10,000 $15,000 insurance and $180,000 of liability insurance.) Answer parts (a) and (b). Liability $180,000 $120,000 Premium $50 $40 (a) The company needs at least $300,000 fire and theft insurance and at least $4,200,000 liability from these plans. How many units should be purchased from each plan to minimize the cost of the premiums? What is the minimum premium? The company should purchase |units of Policy A and units of Policy B. for a premium of $] (b) Suppose the premium for policy A is reduced to $25. Now how many units should be purchased from each plan to minimize the cost of the premiums? What is the minimum premium? 5 Find the solutions that can be read from the simplex tableau. X2 $1 $3 Z AOON 60 wo 28 16 0 60 * 1 = [.X2 =.X3 =.$1 =].$2 =.$3 =[.z= (Simplify your answers.) Pivot around the highlighted entry. 6 X1 X2 X3 $2 Z - 2 20 2 1 18 2 3 27 N/ (Simplify your answers.) Read the solution from the result. x1 = .x2 =.x3 =.S, =[. $2 =[. z= (Simplify your answers.)