How do I create an XML file with multiple namespaces using C#

I need to produce the following XML file using linq to XML, and the Namespaces and schemalocation are killing me!  After hours of research and trial and error, I'm hoping you can help.

As you can see, I need to loop through the product after a table read.

If it weren't for the namespaces and schemalocation, I would do this:

                dcROIdc dc = new dcROIdc(this._ConnString);

                XDocument doc = new XDocument();
                XElement feed = new XElement("feed");


                for (int i = 0; i < 10; i++)
                {
                    XElement product = new XElement("product");
                    XElement SKU = new XElement("SKU");
                    SKU.Value = "sku_" + i.ToString();
                    XElement inventory = new XElement("inventory");
                    XElement quantity = new XElement("quantity");
                    quantity.Value = i.ToString();
                    inventory.Add(quantity);
                    product.Add(SKU);
                    product.Add(inventory);
                    feed.Add(product);
                }

                doc.Add(feed);

and then save the document.

How do I get the namespaces and schemalocation in there?

Thanks!


<?xml version="1.0" encoding="UTF-8"?>
<feed xmlns="http://www.junk.com/xml/mp/inventory/R1.1" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.junk.com/xml/mp/inventory/R1.1 http://support.junk.com/mp/R1.1/product/inventory.xsd">
  <product>
    <SKU>sku_1</SKU>
    <inventory>
      <quantity>1</quantity>
    </inventory>
  </product>
  <product>
    <SKU>sku_2</SKU>
    <inventory>
      <quantity>12</quantity>
    </inventory>
  </product>
</feed>