On January $1,2019,$ Prissy Kissness by Venus D$-$Lite awarded $30$ million stock options to their employees. Each option allows the employee to purchase one share of the firm's $$1$ par value common stock once the employee satisfies their $3-$year vesting period and pays the strike price of $$15.$

The company initially estimates that $0\%$ of these options will be forfeited. The options are exercisable between December $31$st$,2021,$ and December $31,2025,$ if the grantee is still employed by the company at the time of the exercise. Using the Black$-$Scholes model, the firm estimates the fair value of the stock options on the grant date is $$4$ per share. However, on the grant date, the shares has a market price of $$12.$

$$ On Jan $1,2021,$ Venus D$-$Lite revises their estimates of employee turnover, adjusting its forfeiture rate to $4\%.$ On that date, the current market price of the stock is $$14,$ and the current fair value of the stock options using the Black$-$Scholes model is $$4\mathrm{.}50.$

$$ On December $31$st$,2021,1$ million stock options are exercised, when the market price of stock is $$16$ per share.

$1,)$ Determine the total intrinsic value of the stock options as of the grant date.

$2.)$ Prepare all necessary journal entries related to Trinity's stock$-$option plan from January $1$st$,2019$ through December $31$st$,2021.$ Include the appropriate date $($assume balance sheet dates are December $31$st$).$