Nike developed custom shoes based on a modular design concept with different units $($base style, bootie type, lace style, and swoosh colour$)$ that consumers could customize their orders directly from their website. Nike has developed $2$ different base styles and $4$ different lace styles. What are the numbers of bootie types and swoosh colours $($assuming they are compatible with all possible bootie types and lace style combinations$)$ that they can develop to achieve over $150$ combinations and minimize the number of stock$-$keeping units in the inventory?