Please read the instructions and answer ALL the TWO questions. $($i$.$e$.$ Questions $4$ and $5).$

The following linear program is formulated for a media selection problem where X$1,$ X$2$ and X$3$ are the number of advertisements to be placed on newspaper, Facebook and Google, respectively. The performance measure for comparing alternative advertising plan is the expected total sales revenue from advertising on the three media types.

Maximize Z $=1,200,000$ X$1+480,000$ X$2+10$ X$3$

subject to:

$40,000$ X$1+12,000$ X$2+25$ X$3$

$1,000,000$

X$1$

$8$

X$2$

$20$

X$3$

$2,000$

Xi

$0,$ i $=1,2,3$

Flag question: Question $4$

Question $41$ pts

Which of the following represents the minimum required number of advertisements to be placed on newspaper?

Group of answer choices

$20$

$1,000,000$

$2,000$

$8$

Flag question: Question $5$

Question $51$ pts

If the expected sales revenue for newspaper and Facebook both decrease by $10\%$ per advertisement, what is the optimal expected total sales revenue? $($Enter the numerical value in units of $$1000,$ e$.$g$.,12$ for $$12000.)($NO comma and Dollar sign $ are needed in the answer$)$