Figure $15\mathrm{.}33($attached$)$ shows the Solver Sensitivity Report for Valencia Products from problems $4$ and $11$ in Chapter $13.$ Using only information in the Sensitivity Report, answer the following questions, explaining what information you used in the Sensitivity Report.

a$.$ Explain why the reduced cost for SpeedBuster is $0.$ What does the Allowable Decrease of $53\mathrm{.}33$ mean?

b$.$ If the unit profit for SpeedBuster is decreased to $$130,$ can you predict how the optimal solution and profit will change?

c$.$ If the unit profit for LaserStop is increased to $$210,$ can you predict how the optimal solution and profit will change? d$.$ If an additional $1500$ units of component A are available, can you predict how the optimal solution and profit will be affected? e$.$ If a supplier delay results in a shortage of $500$ units of component B $($that is$,$ only $3000$ are available$),$ can you predict how the optimal solution and profit will be affected? Please make use of the data attached. Thank you.