Answer Questions $8$ to $10$ based on the following information

You make vanilla and blueberry yogurts with fresh milk. Every day you can purchase at most $150L$ of

fresh milk. To make $1L$ of vanilla yogurt, you need exactly $0\mathrm{.}75L$ of fresh milk. To make $1L$ of

blueberry yogurt, you need exactly $0\mathrm{.}5L$ of fresh milk. Vanilla yogurt sells for $$\frac{150}{L},$ and blueberry

yogurt sells for $$\frac{180}{?}$ L$.$

You have committed to selling $30L$ of vanilla yogurt and $15L$ of blueberry yogurt to$.$ Your

yogurt is popular in the market and current demand far exceeds your production capacity. Any

yogurt produced beyond the above requirements can be sold at your own yogurt store.

You want to maximize your revenue. You construct a LP and use Solver to find the optimal solution.

Let $x_1$ denote the production of vanilla yogurt $($in Liters$)$ and $x_2$ denote the production of blueberry

yogurt $($in Liters$).$ Here is the result of the sensitivity report from Excel:

$8.$ Suppose you find a new fresh milk supplier who can provides additional $100$L of fresh milk every day.

How will this change the optimal revenue?

O Increase by $$360$

O Decrease by $$12,000$

O Increase by $$36,000$

O Decrease by $$120$

$9.$ What will the revenue become if the price of vanilla yogurt is $$160/$L$,$ instead of $$150/$L$?$

O $$50\mathrm{.}700$

O $$52,300$

O $$52\mathrm{.}500$

O $$50,400$

$10.$ What will the revenue become if the price of vanilla yogurt is $$160/$L$,$ and the price of blueberry

yogurt is $$200/$L$?$

O $$57\mathrm{.}400$

O $$61\mathrm{.}400$

O $$55\mathrm{.}800$

O $$59,800$