Please, procedure complete a, b,c, d and e. Thank you.

Permission has been granted to a new tour operator to operate flights between Madrid and the Balearic and inter-island islands. To do this, you must buy turbojets with which to cover the flights between Madrid and the islands, as well as such as propeller planes and/or helicopters with which to serve the flights inter-island The characteristics of the devices that can be purchased by the operator are summarized in the following table: Tipo de aparato Turborreactor Avin de helice Helicptero Costo(*10's) Mantenimiento diarios 6 1200 2 600 Pilotos Copilotos Azafatas Capacidad mensual 2 2 4000 1 1 300 300 100 1 In addition, the following information is available: The company wishes to operate with minimum maintenance cost. The purchase budget is 35 million dollars. The permit granted requires that the minimum number of devices be fifteen. You can hire up to 20 pilots and 16 flight attendants, and you want to employ at least 3 co-pilots. Traffic between the Balearic Islands and Madrid is estimated at at least 8,000 passengers per month and the inter-island in 500 passengers per month Under these conditions, it is required: a) Formulate a linear programming model that provides the plan optimal purchase b) Solve it and interpret the solution (the variables of slack of the problem stated in standard form, Ax = b). c) A change in the contract reduces the minimum number of fixtures to 14. Analyze the economic effect of this modification by solving again the Primal problem and interpreting the solution of the Dual. d) What other parameters of the problem produce a change in the cost function? In what quantity and why? e) Assuming that the contract does not impose any restrictions on the minimum number of fixtures, what is that number Permission has been granted to a new tour operator to operate flights between Madrid and the Balearic and inter-island islands. To do this, you must buy turbojets with which to cover the flights between Madrid and the islands, as well as such as propeller planes and/or helicopters with which to serve the flights inter-island The characteristics of the devices that can be purchased by the operator are summarized in the following table: Tipo de aparato Turborreactor Avin de helice Helicptero Costo(*10's) Mantenimiento diarios 6 1200 2 600 Pilotos Copilotos Azafatas Capacidad mensual 2 2 4000 1 1 300 300 100 1 In addition, the following information is available: The company wishes to operate with minimum maintenance cost. The purchase budget is 35 million dollars. The permit granted requires that the minimum number of devices be fifteen. You can hire up to 20 pilots and 16 flight attendants, and you want to employ at least 3 co-pilots. Traffic between the Balearic Islands and Madrid is estimated at at least 8,000 passengers per month and the inter-island in 500 passengers per month Under these conditions, it is required: a) Formulate a linear programming model that provides the plan optimal purchase b) Solve it and interpret the solution (the variables of slack of the problem stated in standard form, Ax = b). c) A change in the contract reduces the minimum number of fixtures to 14. Analyze the economic effect of this modification by solving again the Primal problem and interpreting the solution of the Dual. d) What other parameters of the problem produce a change in the cost function? In what quantity and why? e) Assuming that the contract does not impose any restrictions on the minimum number of fixtures, what is that number