Donegal Footwear is an international supplier of outdoor footwear for adventurous families.$$ Currently, the company uses a logistical provider to provide warehouse services and handle packages destined for ground delivery. The contract calls for $$$$7$ million in annual fixed$$ charges, which covers the$$ provider's overhead and warehouse$$ costs, and variable costs of $$17\mathrm{.}00$ per package shipped.$$ Recently, Donegal Footwear found a warehouse it could lease at a cost of $$$$15$ million per$$ year, which includes lease$$ costs, labor, and management oversight.$$ Furthermore, the company found another provider who would deliver packages from the warehouse for $$7\mathrm{.}00$ per package. Considering only$$ costs, how many packages must Donegal Footware ship to make the vertical integration into warehouse operations$$ beneficial?

Part $2$

Donegal Footwear must ship

more than

enter your response here packages to make the vertical integration into warehouse operations beneficial. $($Enter your response as an$$ integer.$)$