Question: 16. (28 points - Suggested completion time = 20 min.) This problem REQUIRES the use of the graphical method. Happy Seed is a newly-created company

16. (28 points - Suggested completion time = 20
16. (28 points - Suggested completion time = 20 min.) This problem REQUIRES the use of the graphical method. Happy Seed is a newly-created company specializing in high-quality sunflower seeds. The two most popular products in the company's line are named Seedox 12 and Seedox 15. In order to prepare the seeds, the company uses two machines: a grinder and a packager. A ton of Seedox12 requires 2.4 hours on the grinder and 1.7 hours on the packager. Similarly, a ton of Seedox 15 requires 1.5 hours on the grinder and 2.2 hours on the packager. The profits per ton of Seedox 12 and Seedox15 grains are 30.3 USD and 21.4 USD, respectively. The total processing time available at the level of the grinder is 9.1 hours every day, whereas the total processing time available at the level of the packager is 9.9 hours every day. Due to a contractual obligation, Happy Seed would like the daily quantity produced of Seedox12 not to exceed that of Seedox15 by more than 3 tons. Happy Seed called upon your konsulting services to help them determine the optimal daily quantities (in tons) manufactured of Seedox 12 and Soodox 15 seeds that maximize the total daily profit. (a) (6 points) Define clearly the decision variables of the problem. (Hint: 2 variables are enough!) (b) (6 points) Express the models objective. (c) (12 points) Express the model's constraints. (d) (4 points) Solve the linear programming problem using the graphical method. Report the optimal solution (production mix) obtained. Round the optimal solution to one digit place if necessary. Note: There is NO NEED to attach the graphical representation; just report the answer. E min Thle nrohlam DEOLHIDEC the neant tlmn

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