Solve for the following Linear Programming problems . Your solutions should include : 1. Objective Function 2. Constraints 3. Graph complete with labels of points and lines , and shaded feasible region 4. Corner point approach 5. Optimal solution 6. Maximum profit A manufacturer produces nuts and bolts It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts . It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts . He earns a profit of Php 35 per package on nuts and Php 14.00 per package on bolts . How many packages of each should be produced each day so as to maximize his profit , if he operates his machines for at the most 12 hours a day?

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