The parent company of Saks Off 5th will start to close nearly three dozen of the discounter’s stores this weekend, the company’s first big move as it aims to slash costs and emerge from bankruptcy proceedings as a profitable company. Saks Global Enterprises is also shuttering five stores from its Last Call chain. The clearance sales — which will aim to offload as much inventory as possible before the stores close — are likely to attract shoppers across the country seeking deals on high-end items. At the same time, Saks will also have to be careful not to push the sales too far. Starting on Saturday, 34 Saks Off 5th locations, including in Atlanta, Boston and Las Vegas, will have closing sales.