a company produces two products made from aluminum and copper. the table below gives the unit requirements, the unit production man-hours required, the unit profit and the availability of the resources (in tons). Aluminum ,Copper, Man-Hours ,UnitProfit Product 1 1 0 2 50 Product 2 1 1 3 60 Available 10 6 24 a)formulate a LP to maximize the total profit. b)what is the max profit? c)what are the dual values (shadow prices). Interpret each d) what is the increase in the value of the objective function for an extra unit of aluminum? e) compute and interpret the ranges of optimality. f) Compute and interpret the ranges of feasibility.