title: Loop Through product subcategories (WOOCOMMERCE) and return the price of the cheapest product
body: <p>In Woo-commerce the default shop page can be set to show the products by their categories.  When doing so it lists their thumbnail/title/link/how many products are available.  </p>
  
  <p>It does not however show price.</p>
  
  <p>The goal is to list out the product categories and list the starting price of their products.  For example:  Category-1 starts at $9.99 (category-1 cheapest products is 9.99) </p>
  
  <p>Tips/tricks/ideas would all be appreciated </p>
  
  <p>Below is the default template that is used for that page:</p>
  
  <pre><code>&lt;?php
  /**
   * The template for displaying product category thumbnails within loops.
   * Override this template by copying it to yourtheme/woocommerce/content-product_cat.php
   */
  
  if ( ! defined( 'ABSPATH' ) ) exit; // Exit if accessed directly
  
  global $woocommerce_loop;
  
  // Store loop count we're currently on
  if ( empty( $woocommerce_loop['loop'] ) )
      $woocommerce_loop['loop'] = 0;
  
  // Store column count for displaying the grid
  if ( empty( $woocommerce_loop['columns'] ) )
      $woocommerce_loop['columns'] = apply_filters( 'loop_shop_columns', 4 );
  
  // Increase loop count
  $woocommerce_loop['loop']++;
  ?&gt;
  &lt;li class="product-category product&lt;?php
      if ( ( $woocommerce_loop['loop'] - 1 ) % $woocommerce_loop['columns'] == 0 || $woocommerce_loop['columns'] == 1 )
          echo ' first';
      if ( $woocommerce_loop['loop'] % $woocommerce_loop['columns'] == 0 )
          echo ' last';
      ?&gt;"&gt;
  
      &lt;?php do_action( 'woocommerce_before_subcategory', $category ); ?&gt;
  
      &lt;a href="&lt;?php echo get_term_link( $category-&gt;slug, 'product_cat' ); ?&gt;"&gt;
  
          &lt;?php
              /**
               * woocommerce_before_subcategory_title hook
               *
               * @hooked woocommerce_subcategory_thumbnail - 10
               */
              do_action( 'woocommerce_before_subcategory_title', $category );
          ?&gt;
  
          &lt;h3&gt;
              &lt;?php
                  echo $category-&gt;name;
  
                  if ( $category-&gt;count &gt; 0 )
                      echo apply_filters( 'woocommerce_subcategory_count_html', ' &lt;mark class="count"&gt;(' . $category-&gt;count . ')&lt;/mark&gt;', $category );
              ?&gt;
          &lt;/h3&gt;
  
          &lt;?php
              /**
               * woocommerce_after_subcategory_title hook
               */
              do_action( 'woocommerce_after_subcategory_title', $category );
          ?&gt;
  
      &lt;/a&gt;
  
      &lt;?php do_action( 'woocommerce_after_subcategory', $category ); ?&gt;
  
  &lt;/li&gt;
  </code></pre>