On Wednesday evenings in October $2021,$ each episode of The Masked Singer was typically watched by $4\mathrm{.}6$ million viewers, while each episode of The Conners was typically watched by $3\mathrm{.}6$ million viewers.$$ Your marketing services firm has been hired to promote Gauss Jordan sneakers by buying at least $70$ commercial spots during episodes of The Masked Singer and The Conners. You have been quoted a price of $$400,000$ per spot for The Masked Singer and $$100,000$ per spot for The Conners. Gauss Jordan, Inc.$\text{'}$s advertising budget for TV commercials is $$68,000,000,$ and it would like at least $80\%$ of the total number of spots to appear on The Masked Singer. How many spots should you purchase on each show to maximize exposure? HINT $[$Calculate exposure as Number of ads $$ Number of viewers.$]($If an answer does not exist, enter DNE.$)$

The Masked Singer

I

The Conners