Question

2. Flaming Moe Homer Simpson wants to mass market his world-famous Flaming MoeTM cocktail made of tequila, schnapps, crème de menthe, plus the secret ingredient Krusty's Non-Narkotik Kough Syrup for KidsTM. He starts by filling a tank with 80 liters ofalcohol mix. Next, he pumps an alcohol solution containing ½ kg per liter of cough syrup into the tank at a steady rate of 4 liters per minute. The well-mixed solution leaves the tank at the same rate. (a) Find the amount of cough syrup in tank at any time t. (b) The drink tastes (while alit) best when the cough syrup concentration is 0.2 kg/1. Find the time τ when Homer can bottle a Flaming Moe Premium for his personal stash.

Answer 1