a$.(15$ points$)$ How will your solution to part a above change if TMMK transitions to $100\%$ Camry Hybrid production in the future $($ceteris paribus with no change to the total production of Camry$)?$ Specify the new number of units of each model in a production cycle and a JIT production sequence. Note: The demand changes and other modifications are only for this sub$-$problem.$$ Qualitatively explain what operations and other factors likely may drive TMMK$$s adoption of $100\%$ Camry Hybrid production, phasing out the gas$-$only option.

b$.(10$ points$)$ Some people describe TPS JIT $/$ Lean using Heijunka or Production Smoothing. Others describe this aspect of the foundation of the Toyota Production System House using Flexibility. This seems odd as Heijunka maintains a rigid $($inflexible$)$ production schedule. Similarly, descriptions of Kaizen and Worker Involvement have been used interchangeably in the foundation of the TPS house. What explains these differences in description of this element of the TPS House foundation? What main component$($s$)$ of TPS $/$ TPS House has enabled Toyota to continue its high scale and high profit operation compared to the other large automotive companies?