On July $1,$ an investor holds $50,000$ shares of a certain stock. The market price is $$30$ per share. The investor is interested in hedging against movements in the market over the next month and decides to use the September Mini S&P $500$ futures contract. The index futures price is currently $$1,500$ and one contract is for delivery of $50$ times the index. The beta of the stock is $1\mathrm{.}3.$ How many S&P $500$ futures contracts does she need to long$/$short in order to fully hedge her portfolio against market risk?