Your firm designs training materials for computer training classes, and you have just received a request to bid on a contract to produce a complete set of training manuals for an $8-$session class. From previous experience, you know that your firm follows an $85\%$ learning rate. For this contract, it appears that the effort will be substantial, running $50$ hours for the first session. Your firm bills at the rate of $$100/$hour$.$ What is the estimate for the total hours and total cost for this project? Round up your answer to a whole number for hours.

Question options:

$297$ hours and $$29,679$

$296$ hours and $$35,000$

$290$ hours and $$42,750$

$187$ hours and $$34\mathrm{.}479$