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Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximizecontribution=8X1+4X2+1X3100X1,X2,X303X1+5X2+7X31X1+7X2+4X31002X1+1X2+7X3110(CC3:hoursonmachine3)(C:hoursonmachine1)(C2:hoursonmachine2) a) Using a computer software for solving LP, the optimal solution achieved is: x1=(roundyourresponsetotwodecimalplaces). Using a computer software for solving LP, the optimal solution achieved is: X1=9.74X2=6.44X3=16.30(responseshouldberoundedtonearest2nddecimalplace)(responseshouldberoundedtonearest2nddecimalplace)(responseshouldberoundedtonearest2nddecimalplace) Contribution (objective value) = (response should be rounded to nearest 2nd decimal place) Machine 1 has hours of unused time avallable at the optimal solution (response should be rounded to nearest 2nd decimal place) Machine 2 has hours of unused time available at the optimal solution (response should be rounded to nearest 2nd decimal place) Machine 3 has hours of unused time avallable at the optimal solution (response should be rounded to nearest 2nd decimal place) An additional hour of time available for third machine, is worth dollars to the firm. (response should be rounded to nearest 2nd decimal place) Additional 6 hour of time available for second machine at no cost to the firm, are going to increase the objective value by dollars. (response should be rounded to nearest 2nd decimal place)