Lets assume that you have a company that buys goods from a local factory and you resell them online.

You buy product A for $16 and sell it for $19. Each unit of product B brings you $12 of profit and each unit of product C costs $31.

You lost your inventory books but you have the following information about the last month:

Your total profit was $17,307

The total number of products B and C you sold were 1,269

The only delivery of product C you received was for $15,531

You fulfilled an order for one product A and one product C and you charged the customer $56.

Find the number of sold items and the profit for each product.