Each day, Blossom Corporation processes $1$ ton of a secret raw material into two resulting products, AB$1$ and XY$1.$ When it processes $1$ ton of the raw material, the company incurs joint processing costs of $$72,000.$ It allocates $$37,000$ of these costs to $AB1$ and $$35,000$ of these costs to XY$1.$ The resulting AB$1$ can be sold for $$112,000.$ Alternatively, it can be processed further to make AB$2$ at an additional processing cost of $$47,000,$ and sold for $$162,000.$ Each day's batch of XY$1$ can be sold for $$109,000.$ Or$,$ it can be processed further to create XY$2,$ at an additional processing cost of $$62,000,$ and sold for $$142,000.$ What products should Blossom Corporation make and sell.

The company should process and sell

The company should not process and sell