The First Street branch of Capitol Bank has a sum of $60 million earmarked for home loans and commercial-development loans. The bank expects to realize an 6% annual rate of return on the home loans and a 4% annual rate of return on the commercial-development loans. Management has decided that the total amount of home loans is to be greater than or equal to 3 times the total amount of commercial-development loans. Owing to prior commitments, at least $10 million of the funds has been designated for commercial-development loans. Determine the amount (in millions of dollars) of each type of loan the bank should extend to maximize its returns.

home loans million dollarscommercial loans million dollars

What is the maximum return (in millions of dollars)?

million dollars