2) An industry produces two aircraft models, that is, one recommended for short distances and the other for long distances.These aircraft are sold at the following prices, short-haul aircraft U $ 1.5 million, long-haul aircraft U $ 2.8 million.As the aforementioned aircraft are produced to order, it is estimated that 550 hours of planning (team of engineers) and 2900 hours of production (factory labor) are required to produce a short-distance aircraft.To produce an aircraft for long distance, it is estimated the need for 2700 hours of planning (team of engineers), 3400 hours of production (factory labor).Knowing if the same team of engineers and the same factory workforce, serve both projects, and the said industry maintains a contract that has 45,000 hours of factory labor per year, and 25,000 hours of engineering staff per year..

From the data provided, answer the following:

a- Calculate and write mathematically the objective function that maximizes the profit of that company.

b- Elaborate and write mathematically the restrictions of the referred problem