On average, listings lease in the $20's per square foot per year. The Lynwood region is going through a an increase in rates. In the last 3 months, the median rate increased $24 per sqft per year. That's a Inf% rise in rent.
Compared to the rest of the Metropolitan Los Angeles market, the Lynwood region has smaller rates, so you should have no trouble finding a great deal in this discounted region.
In the last 90 days, 6 listings have come on the market, which means new listings most likley are going fast. You'll want to be prepared to make an offer immediately. There aren't many listings below 2,000 square feet on the market, so finding a space for a small business might be tough.
The standard measurement for office space in this area is around 680 sqft. Most properties in this market are approximately 1 stories. Most buildings in this area were built in 1965 and are Class B.