Lou's Bakery has established that JIT should be used for chocolate chips due to the high probability of the kitchen heat melting the chips. The average demand is $148$ cups of chocolate chips per week. The average setup and processing time is $1/4$ day. Each container holds exactly $3$ cups. The current safety stock factor is $10$ percent. The baker operates $6$ days per week.

a$.$ How many$$Kanbans$$are required for the bakery? Round your answer up to the whole number.

What is the maximum authorized inventory? Use the rounded value from the previous question. Round your answer to the nearest whole number.

If the average setup and processing time is increased to $3/8$ of a day due to a process change, how many Kanbans are required for the bakery? Round your answer up to the whole number.

What is the maximum authorized inventory under new conditions? Use the rounded value from the previous question. Round your answer to the nearest whole number.