Maximize Z = 30x + 35y Subject to 10- 8 6 4 2x + 5y ≤ 2 4x + 4y < Xx νι νι ΛΙ ΛΙ Y a) Graph the feasible region for the two constraints. Drawing the feasible region requires 3 clicks for each constraint on the graph. Use the first two clicks to draw the line and the third click to select the region satisfying the constraint. 12- 30 36 > 0 0 >
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. 8 7 6 5 4 3 only the leasible region. (103) 2 1 2 Clear All Draw: Polygon 3 5 7 (c) State the optimal solution point and the objective function value. (30%)
(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 x = y = The optimal objective function value, Z = (d) At optimal solution, which constraints are non-binding? (10 %) Select all that apply. DC1 □C₂ OC3 CA
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