Consider the linear program given below. Use software to find optimal solutions for values of

from $0\mathrm{.}5$ to $1\mathrm{.}2$ in steps of $0\mathrm{.}1.$ Compare the solutions and make some observations regarding how solutions change with respect to

$.$ Repeat the solutions for the corresponding integer program

making some observations about any significant relationships between the two sets of solutions $($other than integer$/$non$-$integer$).$