Consider the following LP Model: Maximize Profit: 12x Constraints: 20x 4x I -6x + + +...

 

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Consider the following LP Model: Maximize Profit: 12x Constraints: 20x 4x I -6x + + + + 1 I, Y gy 5y 100 90 3y Y > 10 Y Y ≤0 ≤20 ≥ 0 Complete the following without using any technology tools including apps, software or graphing calculators: (a) Graph the constraints and find the feasible set of solutions. (A graph paper is attached the test for your convenience). (b) Use the corner point method or the isoprofit line method to find the solution. to get full credit you must show all work in obtaining the solution. (c) Consider now the problem of minimizing f(x, y) = 12x+9y given the same constraints as above. Determine the optimal solution. (Note that you do not have to redo the feasible set of solutions since constraints have not changed). Consider the following LP Model: Maximize Profit: 12x Constraints: 20x 4x I -6x + + + + 1 I, Y gy 5y 100 90 3y Y > 10 Y Y ≤0 ≤20 ≥ 0 Complete the following without using any technology tools including apps, software or graphing calculators: (a) Graph the constraints and find the feasible set of solutions. (A graph paper is attached the test for your convenience). (b) Use the corner point method or the isoprofit line method to find the solution. to get full credit you must show all work in obtaining the solution. (c) Consider now the problem of minimizing f(x, y) = 12x+9y given the same constraints as above. Determine the optimal solution. (Note that you do not have to redo the feasible set of solutions since constraints have not changed).