a$)[4$ points$]$ Are there multiple optimal solutions to this problem? Why or why not?

No$,$ because none of the obj colficints have an allowable increase

or decrease of $(0)$

b$)[5$ points$]$ Suppose the profit per gallon of banana changes to $$1\mathrm{.}00.$ Will the optimal solution

change, and what can be said about the effect on total profit $($increase or decrease$)?$

the optimal solution will change, cause it will go over the

allowable increase, in this case ve will batue to resolul.

c$)[5$ points$]$ Making no other changes, what would the profit of chocolate ice cream need to

change for it to possibly be optimal for the Ken and Larry, Inc to start making chocolate ice

cream? Why?

since $C=0,$ we will not change if ble if we

change $c=1,$ t will reduce the $cos/$ since it

$=0$

d$)[6$ points$]$ If the vanilla ice cream profit increases from $$0\mathrm{.}9$ to $$0\mathrm{.}92$ and the profit of the banana

ice cream decreases from $$0\mathrm{.}95$ to $$0\mathrm{.}93.$

i$.$ Will the optimal solution $(($i$.$e$.,$ optimal value of decision variables$)$ change? Why?

Vanilla hat$()=\frac{0\mathrm{.}02}{0\mathrm{.}05000}=0\mathrm{.}4,0\mathrm{.}4+0\mathrm{.}4=0\mathrm{.}8100$ the optimat Saution

bantana darr$=\frac{0\mathrm{.}02}{0\mathrm{.}05000}=0\mathrm{.}4$

will remain pptimat

ii$.$ What will the optimal total profit change to$?($Write "resolve" if changes to the optimal total

profit cannot be determined without resolving the LP$.)$ Show your work to support your answer

to part i$).$

the optimal prohit will increase

$1\mathrm{.}00(0)+(0\mathrm{.}92)(300)+0\mathrm{.}93(75)=245\mathrm{.}75$

$276+69\mathrm{.}75=$