SELECT 
  product_id 
FROM 
  cscart_products 
WHERE 
  company_id = 4 
  AND status = 'A' 
ORDER BY 
  RAND() 
LIMIT 
  3

Query time 0.00067

JSON explain

{
  "query_block": {
    "select_id": 1,
    "filesort": {
      "sort_key": "rand()",
      "temporary_table": {
        "table": {
          "table_name": "cscart_products",
          "access_type": "range",
          "possible_keys": ["status"],
          "key": "status",
          "key_length": "3",
          "used_key_parts": ["status"],
          "rows": 87,
          "filtered": 100,
          "index_condition": "cscart_products.`status` = 'A'",
          "attached_condition": "cscart_products.company_id = 4"
        }
      }
    }
  }
}