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2) Graph the contraints to find the convex.3) Explain why Feasable region is only in the first quadrant.4) Explain why Feasable solutions can be within the convex region as well as on the boundary.5) explain how can you have an infinitive region based on the graph of the constraints.6) Explain where the what happens if the region is not convex but infinitive.7) Explain where the feasible solution can be found if the region is infinitive 8) Explain what the optinal solution means.9) What is the optional solution to the problem? Explain what the solution means in real life situation.Define your unknowns express the objective function and the constrains and find and illustrate the answer in the problem.1. A farmer has 10 acres to plant in thee wheat and rye. He has to plant at least 7 acres. However he has only $ 1200 to spend and each acre of wheat costs $200 to plant and each acre of rye cost $ 100 to plant and each acre of rye cost $ to plant. Moreover the farmer has to get the planting done in 12 hours to plant and it takes an hour to plant an acre of wheat and 2 hours to plant an acre of rye. If the profit is $500 per acre of rye how many acres of each should be planted to maximize profit?2.A gold processor has two source of gold ore source A and source B. In order to keep his plant running at least three tons of ore must be processed each day . Ore from source a cost $ 20 per ton to process and ore from must be keep to least three tons of acre must be process each day. Ore from source A cost $200 per ton to process and ore from source B cost $10 per ton to process . Cost must kept to less than $80 per day . Moreover Federal Regulations require that the amount of one ore from source B can not exceeed twice the amount of ore from source A. If source from A yields 2 oz. of gold per tonand ore from source B yields 3 oz. of gold per ton how many tons of ore from both source must be proceed each day to maximize the amount of gold extracted subject to the above constraints ?

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