Alvarez Company makes three joint products, products A$,$ B$,$ and C$.$ For each batch, the materials cost is $$16,500,$ direct labor cost is $$4,200,$ and manufacturing overhead is $$10,300.$ From each batch, the company makes $2,200$ pounds of A$,1,000$ pounds of B$,$ and $800$ pounds of C$.$

Required:

What are the total joint costs for each batch of the products?

Allocate the joint costs to each of the three products.

Determine the cost per pound for product A$.$