State the linear programming problem in mathematical terms, identifying the objective function and the constraints A...
the question: a firm makes products A and B. Product A takes 2 hours each on kachine L and machine M; product B takes 4 hours on L and 2 hours on M. Machine L can ve used no more than 12 hours per day and M no longer than 8 hours per day. Profit A is $9 and $6 on B. profit is to be maximized. which of the following correctly identifies the objective function of the constraints? This...
Find the indicated maximum or minimum value of the objective function in the linear programming problem. Maximize f - 30x + 40y subject to the following constraints. x + 2y = 48 x + y s 30 2x + y 50 x 20, y 20 Need Help? Read It Vatch It Talk to a Tutor -/12.5 POINTS HARMATHAP9 4.2.015.MI. EE Solve the following linear programming problem. Restrict x 20 and y 20. Maximize = 3x + 5y sub/ect to the...
Styles Problem 15, p. 850 Given this linear programming model, solve the model and then answer the questions t follow Maximize Z = 12x1 + 18x2 + 15x3 where x1 = the quantity of product 1 to make, etc. Subject to Machine 5x1 + 4x2 + 3x3 S 160 minutes Labor 4x1 + 10x2 + 4x3 = 288 hours Materials 2x1 + 2x2 + 4x3 200 pounds Product 2 x2 s 16 units x1, x2, x320 not change 1 If...
The final simplex tableau for the linear programming problem is below. Give the solution to the problem and to its dual. Maximize 6x+ 3y subject to the constraints 5x+ ys 60 3x+ 2y s 50 x20, y20 x 1 0 4 0 10 0 10 1 90 For the primal problem the maximum value of M 11 which is attained for xD yL For the dual problem the minimum value of M is , which is attained for u-L Enter...
Formulate but do not solve the following exercise as a linear programming problem A company manufactures x units of product A, y units of product, and units of product C Each product is processed in three departments: I, I, and TIL The total available labor hours per week for Departments I, II, and I are 920, 2000, and 310, respectively. The time requirements in hours per unit and profit per unit for each product are as follows. Product Product Product...
Linear Programming (Multiple choice) 2. Base your answer on the following linear progr profit 20 labor materials 600 s 300 s 841 19 15 36 budget 24 a) The optimal product mix is 17 laptops and 12 desktops. b) The maximum profit is $2030. c) The minimum cost is $900. d) The best product mix is 20 laptops and 30 desktops 1. Linear Programming (Fill-ins) Following is the linear programming model where S dollars invested in stock fund and M...
Problem 1 (10 pts): Construct a mathematical model (define your variables, write an objective function and constraints). Problem 2 (10 pts): Use Excel's Solver tool to determine the optimal solution that will maximize profit. Summarize your results. In the Solver toolbox, choose "Simplex LP". Problem 3 (10 pts): Discuss the effect on the optimal solution in Problem 2 if the profit on a small table increases to $12. In the Solver toolbox, rchoose "Simplex LP". If you Copy/Paste from Problem...
Linear Programming Problem A manufacturer of three models of tote bag must determine the production plan for the next quarter. The specifics for each model are shown in the following table. Model Revenue ($ per item) Cutting (hours per item) Sewing (hours per item) Packing (hours per item) A $8.75 .10 .05 .20 B $10.50 .15 .12 .20 C $11.50 .20 .18 .20 Time available in the three production departments are: Cutting 450 hours, Sewing 550 hours, Packing 450 hours....
Operations Management Problem- Linear Programming MSA Computer Corporation manufactures two models of smartphones, the Alpha 4 and the Beta 5. The firm employs five technicians, working 160 hours each per month, on its assembly line. Management insists that full employment (i.e., all 160 hours of time) be maintained for each worker during next month’s operations. It requires “A” labor hours to assemble each Alpha 4 computer and “B” labor hours to assemble each Beta 5 model. MSA wants to see...
how to graph this? is this correct? The aim of the objective function for Par Inc., should be to Maximize the objective value Objective function Max Z = 5S + 8D Subject to: (1/2)S + 1D <= 300 (C1) 1S + (2/3)D <= 420 (C2) a) The optimum solution is S = 330 D =135 b) Optimal solution value 'z' = 2730 Par, Inc., produces a standard golf bag and a deluxe golf bag on a weekly basis. Each golf...