Jeff Spencer’s San Antonio optical scanning

Consider the following LP problem developed at Jeff Spencer’s San Antonio optical scanning firm:Maximize profit = $1 X 1+ $1 X 2Subject to:2 X 1+ 1 X 2?1001 X 1+ 2 X 2?100a)What is the optimal solution to this problem? Solve it graphically.b)Ifatechnicalbreakthroughoccurredthatraisedtheprofitperunitof X 1to$3,wouldthisaffecttheoptimalsolution?c)Instead of an increase in the profit coefficient X 1,to $3,suppose that profit was overestimated and should onlyhave been $1.25. Does this change the optimal solution?Consider the following LP problem developed at Jeff Spencer’s San Antonio optical scanningfirm:Maximize profit = $1 X1+ $1 X2Subject to: 2X1 + 1X2 ?1001X1+ 2 X2 ?100a) What is the…