Help me provide the solutions to this linear programming question of quantitative methods in full

A food factory that produces coffee beans approached you last week for a consultation. They want you to work out a production plan that maximises the factory$$s profit. The factory produces two types of coffee beans, namely B$1$ and B$2.$ Each coffee bean has to go through three processes of drying, shelling, and polishing, which are completed by three machines, namely M$1($drying$),$ M$2($shelling$),$ and M$3($polishing$).$ The processing time for each type of coffee beans varies on each machine. Each machine can only operate during factory working hours $(8$am$-6$pm$).$

for coffee bean B$1,$ the minutes taken for each machine M$1,$ M$2,$ M$3$ is $30,24$ and $20$ respectively, with a profit per kg of $6,$

and for coffee bean B$1,$ the minutes taken for each machine M$1,$ M$2,$ M$3$ is $15,20$ and $50$ respectively, with a profit per kg of $9.$

a planner suggested that the processing time of the drying machine $($M$1)$ is not fixed, but depends on the humidity of the coffee beans of B$1$ and B$2.$ If the humidity is high, the time will be long; if the humidity is low, the time will be short $($but will not be $0).$

Determine what kind of processing time will keep your production plan optimal. Please limit the answer to within one page.