Creating a Custom XML Feed

I’m probably making this harder on myself than it has to be. If there is a built in WP function or plugin that can generate a custom feed please let me know.

I’m trying to create a feed for a wp powered job board to send to Indeed.com. It should send them all the currently active jobs I have on my site.

Here is what I have so far…

$args = array(
	'post_type' => 'job_listing',
	'post_status' => 'publish',
	'showposts' => -1
);

$feed = query_posts($args);

echo '<?xml version="1.0" encoding="utf-8"?>';
?>
<source>
    <publisher>example.com</publisher>
    <publisherurl>http://www.example.com</publisherurl>
    <lastBuildDate><?php date(); ?></lastBuildDate>

    <?php while($feed->have_posts()) : $feed->the_post(); ?>
    <job>
        <title><![CDATA[<?php $feed->the_title(); ?>]]></title>
        <date><![CDATA[<?php $feed->post_date(); ?>]]></date>
        <referencenumber><![CDATA[<?php $feed->ID; ?>]]></referencenumber>
        <url><![CDATA[<?php the_permalink(); ?>]]></url>
        <company><![CDATA[<?php get_post_meta($feed->ID,'_Company'); ?>]]></company>
        <city><![CDATA[<?php get_post_meta($feed->ID,'geo_short_address'); ?>]]></city>
        <description><![CDATA[<?php $feed->the_content(); ?>]]></description>
    </job>
    <?php endwhile; ?>
</source>

I’ve plugged this into a page template and assigned it to a blank page, similar to a method outline on the Yoast website.

Though all I’m getting is a blank page.