URGENT HELP PLEASE Answer all please

Exhibit 2. Use this graph to answer the question. rerer Exnbit 2. Which point (A,B,C,D, or E) is optimal? a) Point A is optimal. b) Point E is optimal. c) Point C is optimal. d) Point D is optimal. e) Point B is optimal. Use the graphical method for linear programming to find the optimal solution for the following problem. Tip: You should find the optimal solution based on the objective line. Draw the line, then find the extreme corner for the optimal solution. Minimize C=12x+4y subject to 2x+4y12 5x+2y10 and x0,y0 A) (x,y)=(0,3) B) (x,y)=(0,0) (x,y)=(0,3) (x,y)=(0,0) (x,y)=(0,5) (x,y)=(6,0) Let x1,x2,x3, and x4 be 01 variables whose values indicate whether the projects are not done (0) or are done (1). Which of the following answers indicates that at least three of the projects must be done? a) x1+x2+x3+x4=3 b) x1+x2+x33 c) x1+x2+x3+x43 d) x1+x2+x3+x43 Let x1 and x2 be 01 variables whose values indicate whether projects 1 and 2 are/are not done. Which of the following answers indicates that exactly one of projects 1 and 2 must be selected? a) x1x2=0 b) x1x20 c) x1+x2=2 d) x1+x2=1 e) x1x20 Most practical applications of integer linear programming involve only 0 - 1 integer variables. Which one is CORRECT about the binary variables and its applications? a) Binary variables can be used to model multiple-choice and mutually exclusive constraints. b) For the classic assignment problem, the optimal linear programming solution will consist of Os and 1s. c) The 0-1 variables in the fixed cost models correspond to a process for which a fixed cost occurs. d) In a model involving fixed costs, the 01 variable guarantees that the capacity is not available unless the cost has been incurred. e) All of the above