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Problem #3 - (2 POINTS) - PK Inc. manufactures interior and exterior paints from two raw materials, M. and M2. The following table provides the basic data of the problem: Tons of raw materials per ton of Maximum daily Exterior paint Interior paint availability (tons) Raw material M 6 4 24 Raw material M2 1 2 6 Profit per ton $5,100 $4,100 A market survey indicates that the daily demand for interior paint cannot exceed that for exterior paint by more than 1 ton. Also, the maximum daily demand for interior paint is 2 tons. PK Inc. wants to determine the optimum (best) product mix of interior and exterior paints that maximizes the total daily profit. a. (1 Point) Formulate and explain the mathematical model for this LP problem, including: The Objective Function All the constraints that the solution must satisfy, including nonnegativity b. (1 Point) Solve the LP problem using the graphical method. Extra Point Opportunity: You are only required to formulate and solve the LP problem using the graphical method, however if you also solve the problem using the MS Excel Solver method you will get 1 extra point however you must upload your MS Excel file, to get the extra point