$($a$)$ If the availability of labor increases by $10$ hours, what is the optimal total profit?$$

$($b$)$ Suppose Big Bang decides they will start adding $0\mathrm{.}2$ oz of sequin powder to Toots.$($Assume the labor availability is back at the original $100$ hours.$)$ What is the new optimal solution?

$($c$)$ Suppose Big Bang finds the unit profit for Wheet is actually $$0\mathrm{.}90$ instead of $$1\mathrm{.}10.$ Will this change the optimal solution? How