Cannot send messages from web console

Issue

Trying to use the Fuse MQ web console to send messages to a particular destination results in

javax.jms.JMSException: Could not connect to broker URL: tcp://localhost:61617. 
Reason: java.net.ConnectException: Connection refused
    at org.apache.activemq.util.JMSExceptionSupport.create(JMSExceptionSupport.java:35)
    at org.apache.activemq.ActiveMQConnectionFactory.createActiveMQConnection(ActiveMQConnectionFactory.java:293)
    at org.apache.activemq.ActiveMQConnectionFactory.createConnection(ActiveMQConnectionFactory.java:191)
    at org.apache.activemq.web.WebClient.getConnection(WebClient.java:267)
    at org.apache.activemq.web.WebClient.createSession(WebClient.java:372)
    at org.apache.activemq.web.WebClient.getSession(WebClient.java:259)
    at org.apache.activemq.web.controller.SendMessage.createMessage(SendMessage.java:172)
    at org.apache.activemq.web.controller.SendMessage.sendMessages(SendMessage.java:71)
    at org.apache.activemq.web.controller.SendMessage.handleRequest(SendMessage.java:56)
    at org.springframework.web.servlet.mvc.SimpleControllerHandlerAdapter.handle(SimpleControllerHandlerAdapter.java:48)
    at org.springframework.web.servlet.DispatcherServlet.doDispatch(DispatcherServlet.java:790)
    at org.springframework.web.servlet.DispatcherServlet.doService(DispatcherServlet.java:719)
    at org.springframework.web.servlet.FrameworkServlet.processRequest(FrameworkServlet.java:669)
    at org.springframework.web.servlet.FrameworkServlet.doPost(FrameworkServlet.java:585)
    at javax.servlet.http.HttpServlet.service(HttpServlet.java:713)
    at javax.servlet.http.HttpServlet.service(HttpServlet.java:806)