Consider this linear program

Consider this linear program:

Minimize	Z= 61x+34y
Subject to	2/11x+2/9y 1 (C1) 13/2x+ 9/2y 117/4 (C2) x 5 (C3) 2/15y 1 (C4) x, y >= 0

(a)Graph the feasible region for the constraints.(50%) Drawing the feasible region requires 3 mouse clicks for each constraint. Use the first two clicks to draw the line and the third click to select the region satisfying the constraint. 12345612345678Clear AllDraw: (b)Graph only the feasible region.(10%) Click once on each corner point of the feasible region to draw it. Then click on the first point again to close and shade it. 12345612345678Clear AllDraw:Polygon (c)State the optimal solution point and the objective function value.(30%) Enter your answers below as fractions or decimals accurate to at least 4 decimal places. Do not use rounded values to calculate the objective function value. Use exact values. The optimal solution occurs at xx= , yy= The optimal objective function value,ZZ= (d)At optimal solution, which constraints arebinding?(10%) Select all that apply.

• C1C1
• C2C2
• C3C3
• C4