Eccentric Manufacturing Corporation manufactures two types of drones: a basic model and a professional model. In order to manufacture the drones, they go through two departments: assembly and testing. The assembly department has $9$ workers who work $8$ hours$/$day each. The testing department has $3$ workers who also work $8$ hours$/$day each. Each basic drone model spends $3$ hours in the assembly department and $1\mathrm{.}5$ hours in the testing department. Each professional drone model spends $5$ hours in the assembly department and $3$ hours in the testing department. The company makes a net profit of $$100$ for each basic drone and $$175$ for each professional drone. Eccentric Manufacturing Co$.$ predicts that they will sell at least two times as many basic models as professional models. Assume that the optimal solution is to produce $10\mathrm{.}32$ basic models and $2\mathrm{.}89$ professional models. If the solution is rounded to $10$ basic models and $3$ professional models will the solution still be feasible? Provide an explanation.