Seasons Rotisserie & Grill is open from $8$:$00$ am to $10$:$00$ pm daily. Besides the hours they are open for business, workers are needed an hour before opening and an hour after closing for setup and clean up activities. The restaurant operates with both full$-$time and part$-$time workers on the following shift, with full$-$time workers having higher daily pay rate than part$-$time workers: :

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The following numbers of workers are needed during each of the indicated time blocks:

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At least one full time worker must be available during the hour before opening and after closing. Additionally, at least $30\%$ of the employees should be full$-$time $(8-$hour$)$ workers during the restaurant$$s busy periods from $11$:$00$ am $1$:$00$ pm and $5$:$00$ pm $7$:$00$ pm$.$ What is the optimal value of the objective function?