$1.$ The drug distribution company EL BUEN PATIENCE wants to build a new warehouse in the SUR highway area in which they intend to store the following products: gloves, masks, and alcohol gel. With these products, they plan to serve a total of $40,000$ pharmacies in Managua.

Alcohol Masks Globes

Demand $($qty pharmacies served$)15,00025,00010,000$

Cost per product U$ $2\mathrm{.}50$ U$ $3\mathrm{.}00$ U$ $1\mathrm{.}50$

To achieve balanced use of products, masks must be equal to $50\%$ of authorized product units. Additionally, the number of units requested in gloves must be at least $10\%$ of the total authorized. There are a total of $40,000$ pharmacies. The optimal plan needs to be determined to maximize the amount of products they must have to meet demand and maximize profits.