maxz=3x1+2x2s.t.2x1+x2100(Finishingconstraint)x1+x280(Carpentryconstraint)x140(Demandconstraint)x1,x20 where x1=numberofsoldiersproducedperweekx2=numberoftrainsproducedperweek Variable Cells Constraints a) What is the optimal solution to the above problem? b) If the profit of product 1 is $4, then what would be the new optimal solution to the problem? c) If at least 120 hours in the finishing department were required, then what would be the cost of the optimal solution? d) If at least 60 hours in the carpentry department were required, then what would be the cost of the optimal solution