The corner points of the bounded feasible reg | vedclass

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Question

(A) To find the maximum and minimum values of the objective function $z=5x+10y$,we evaluate $z$ at each corner point of the feasible region:Corner Poi

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$700, 300, (60,40), (60,0)$

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(A) To find the maximum and minimum values of the objective function $z=5x+10y$,we evaluate $z$ at each corner point of the feasible region:Corner Point $(x, y)$Value of $z=5x+10y$$(60, 0)$$5(60)+10(0) = 300$$(120, 0)$$5(120)+10(0) = 600$$(60, 40)$$5(60)+10(40) = 300+400 = 700$$(40, 20)$$5(40)+10(20) = 200+200 = 400$$(20, 30)$$5(20)+10(30) = 100+300 = 400$$(i)$ The maximum value of $z$ is $700$.$(ii)$ The minimum value of $z$ is $300$.$(iii)$ The maximum value of $z$ occurs at $(60, 40)$.$(iv)$ The minimum value of $z$ occurs at $(60, 0)$.Thus,the correct sequence is $700, 300, (60, 40), (60, 0)$.

The corner points of the bounded feasible region are $(60,0), (120,0), (60,40), (40,20)$ and $(20,30)$. For the objective function $z=5x+10y$:
$(i)$ Maximum value of $z$.
$(ii)$ Minimum value of $z$.
$(iii)$ Maximum value of $z$ occurs at.
$(iv)$ Minimum value of $z$ occurs at.

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The corner points of the bounded feasible region are $(60,0), (120,0), (60,40), (40,20)$ and $(20,30)$. For the objective function $z=5x+10y$:$(i)$ Maximum value of $z$.$(ii)$ Minimum value of $z$.$(iii)$ Maximum value of $z$ occurs at.$(iv)$ Minimum value of $z$ occurs at.