The mathematical statement of a problem and its excel solution are given as follows: s.t. Zmax=810x1+7002+5203 (4x1+3x2+3x360(labour,hr)21+42+5350(fabric)x1+32+2350(painting)x1,2,30 Here note that the number E+.. is a very large number which can be accepted as an infinite number. Please answer the questions according to theLINDO data given below. a) Indicate the basic and non-basic variables, and their quantities at the optimal tableau in the excel sheet. x1:bosicvoriqble9:9 2:basicvariovie4:8 b) Indicate the binding and nonbinding constraints of the problem at the optimal solution. Explain your answer. labour nour: binding const. fabric: binding const. painting; non-binding const c) Indicate the amount of the resources to be used at the optimal solution. Explain your answer? labour hr: 60 fobric : 50 1 polnting: 5017=233 f) Indicate the optimality range of X2. If we increase the objective function coefficient of X2 to 1000 , how does the value of the variables and the value of z change? 1000700=300 70092700700+92067,5