Question

A bank provides 4 types of loans to customers - individuals. These types and the corresponding interest rates are shown in the table below.

Loan type	Annual interest rate (%)
first home market	14
second home market	20
professional	20
consumer	10

The bank plans to allocate up to 250 million euros in total, with the following commitments:

1) For reasons of strengthening the first home market, first home mortgages must be at least 25% of all loans.
2) The second home market does not have the same priority, so second home mortgages cannot exceed 25% of all loans on the one hand, but must amount to a maximum of 45% of all mortgages on the other.
3) Finally, the average weighted interest rate for the 4 types of loans must be at most 15% (weighting rates the ratio for the amount of loans of each category to the total amount of loans).

It is requested that (without resolving) the problem of the disposal of the available amount (at most 250 million euros) in loans be addressed, with the aim of maximizing the annual interest income from linear problem planning.

That is exactly the question. It does not gine further information.

Answer 1