$1.$ A refinery processes a blend of two types of crude oil, A and B$.$ Crude A contains $2\%$ sulfur by weight, while crude B contains $3\mathrm{.}5\%$ sulfur by weight. If the refinery processes $150,000$ barrels of crude oil per day, how many tons of sulfur are processed daily?

$2.$ In a catalytic cracking unit, $2,000$ barrels of heavy oil are processed, resulting in $1,200$ barrels of gasoline, $500$ barrels of diesel, and $100$ barrels of other products. What is the overall conversion efficiency of heavy oil to liquid products?