$2.$ a$)$What is the optimal solution for this problem? How many of each product should be produced$$to get the optimal solution?

$2.$ b$)$ This problem has multiple optimal solutions, which mean that another combination of$$products manufacturing can also be the optimal solution. How do you identify if this problem has$$multiple optimal solutions? You don$$t need to find another optimal, but describe how you identify$$it$.$ Answer with given output.

$2.$ c$)$ Currently, the coefficient of y is $3$ in the objective function. Assume that this value is changed$$to $5,$ which makes new objective function, Max $2$x $+5$y $+5$z$.$ Now, somebody said as following:$$The new objective value will be bigger than the current value, $20$Is this statement TRUE or FALSE? Why?