(4) (7 points) Each type i store must be given a "finishing allowance" of Li dollars per square foot, in such a way that the total of all finishing allowances does not exceed a fixed budget equal to B dollars, Write out the linear constraints. 3. (total 20 points ) Consider the following linear programming problem P: Minimize : - x; -2 x; Subjectto I: + I: 2 2 (I) 41 +12 2 1 (2) I: S 3 (3) I: 2 0 x; unconstrained in sign Let the surplus of constraint (1) and (2) be X3 and x4, respectively, and the slack of constraint (3) be X5. Answer the following independent questions: (1) (10 points) Solve the problem P graphically: Identify the feasible region by its corner points (coordinates X1 and X2 ) and shade it. Find the optimal point on the graph and write the optimal values of the variables and objectivez