Consider $2$ stocks in the following table. We create a stock index of companies that make stuff for Spring Break.

stocks P$0$ Q$0$ P$1$ Q$1$

ABC, Inc.

$$850$P$0150$Q$0$ $$830$P$1150$Q$1$

XYZ$,$ Inc.

$$510$P$0400$Q$0$ $$550$P$1400$Q$1$

What is the initial portfolio weight for stock ABC in a Price$-$weighted index of these two stocks