Consider the following LP problem:

Max $5$ x $+6$ y $($Profit$)$

$2$ x$+$ y $120$

$2$ x$+3$ y $240$

x $,$ y $0$

What is the optimal solution to this problem?

b$.$ If a technical breakthrough occurred that raised the profit per unit of X to $$8,$

would this affect the optimal solution?

c$.$ If the right$-$hand$-$side of constraint $1$ were increased by $10$ units, how much

would the profit increase?