$1.$ State the problem as a linear programming problem.

We have the following data to build two types of hospitals $($H$1)$ and $($H$2)$:

Requirements........................H$1...........................$H$2$

Medical equipment $......\mathrm{.}20$ units $..................\mathrm{.}30$ units

Construction material............ $2500$ tons................................... $2100$ tons

Attention capacity........... $30,000$ patients $............\mathrm{.}35,000$ patients

There are $650$ units of medical equipment and $50,000$ tons of material. Is it necessary to know how many hospitals of each type should be built to serve the maximum number of patients?