$1.$ What is the optimal production plan for a typical month, assuming the new facilities are operating and assuming all bookcases manufactured can be sold $($up to the projected maximum demand$)?2.$ What should Leslie do$?$ Justify the expansion over a five year period $($assuming a $5\%$ annual interest rate$)3.$ Do you have any other recommendations for Leslie that pertain to these possible expansions? Please use parts $1$ and $2$ as your reference. Please answer only part $3$ and part $4$ including an Excel model.