PA $10.$ LO $10\mathrm{.}5$Calcion Industries produces two joint products, Y and Z$.$ Prior to the split$-$off point, the company incurred costs of $$36,000.$ Product Y weighs $25$ pounds and product Z weighs $75$ pounds. Product Y sells for $$150$ per pound and product Z sells for $$125$ per pound. Based on a physical measure of output, allocate joint costs to products Y and Z$.$