Sql 将最小值或最大值与活动记录一起使用

我试图通过以下查询从数据库中获取最小值：

@supplier = Supplier.joins(:products).where('suppliers.permalink = ?', params[:id]).group('suppliers.id','products.id','products.name',min(variants.price)).pluck('products.id','products.name','suppliers.id',min(variants.price))

当我运行我认为应该是的查询时，我得到以下结果：

SELECT suppliers.id as supp_id, products.id as prod_id, products.name as prod_name, min(price) as low_price, max(price) as high_price from suppliers
  INNER JOIN variant_suppliers on variant_suppliers.supplier_id = suppliers.id
  INNER JOIN variants on variants.id = variant_suppliers.variant_id
  INNER JOIN products on products.id = variants.product_id
WHERE suppliers.id in (1,2)
GROUP BY suppliers.id, products.name, products.id;

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你的问题是什么？如何让它与活动记录系统而不是直接的sql一起工作