A dry goods company buys a new, modern mixer to supplement the output of their old, current mixer. The old mixer has a capacity of 50 gallons and can thoroughly mix a full load of loam and fill in 40 minutes. The new mixer has a capacity of 20 gallons and can thoroughly
mix a full load of loam and fill in 15 minutes. Both mixers are loaded and started at the same time at the beginning of the day. Which
function C (2) represents the output of the two mixers combined, where t represents the time in minutes since starting? Assume that
emptying and reloading the mixers can be done instantly.