The following linear programming problem $($Same problem as above$)$ has been solved by The Management Scientist and Excel.$$ Use the output from either one $($Management Scientist or Excel$)$ to answer the question, What would happen if the first constraint's right$-$hand side increased by $700$ and the second$\text{'}$s decreased by $350?$ Would you need to rerun? Why or why not?$$ Explain, A simple yes or no will not count.$$

LINEAR PROGRAMMING PROBLEM

MAX $25$X$1+30$X$2+15$X$3$

S$.$T$.$

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$1)4$X$1+5$X$2+8$X$3<1200$

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$2)9$X$1+15$X$2+3$X$3<1500$