The decision variables represent the amounts of ingredients 1, 2, and 3 to put into a blend. the objective function represents profit. the first three constraints measure the usage and availability of resources a, b, and c. the fourth constraint is a minimum requirement for ingredient 3. use the output to answer this question: linear programming problemmax 4x1+6x2+7x3s. t.1) 3x1+2x2+5x3< 1202) 1x1+3x2+3x3< 803) 5x1+5x2+8x3< 1604) +1x3> 10optimal solutionobjective function value = 166.000variablevaluereduced costx1 0.0002.000x216..000x310..000constra intslack/surplusdual price138.000 0.0002 2.000 0.0003 0.000 1.2004 0.00012.600objective coefficient rangesvariablelower limitcurrent valueupper limitx1no lower limit4.0006.000x24.3756.000no upper limitx3no lower limit7.0009.600right hand side rangesconstraintlower limitcurrent valueupper limit182.000120.000no upper limit278.000 80.000no upper limit380.000160.000163.3334 8.889 10.000 20.000what will happen to the solution if the profit from ingredient 3 increases by 1?