A major aerospace manufacturing company is to decide whether to produce 2 new types of airplanes and possibly their variations in the next several years. In total, 5 new products, including the base models and their variations, are considered. They are: Jet-100, Jet-100-X, Jet-100-XL; Jet-120 and Jet-120-X. These new airplane projects may be launched in the next 4 years. The management of the company has identified the following conditions for launching these new products: 1. The base model of Jet-100 and Jet-120 cannot be launched in the same year 2. Variations of any base model may be launched in the year after the base model is launched 3. Jet-100-XL should be launched the year after the Jet-100-X is launched 4. Any new product cannot be launched more than once in this 4 year period 5. A minimum of 3 new products should be launched in this 4 year period 6. No more than 3 new products can be launched in any 2 consecutive years 7. The development costs must be within the available budget The revenues and development costs to launch these products are shown below. The revenue numbers are based on the current market demands and the values of similar products. The total budget for new product development in the next 4 years is 7 billion dollars with 3 billion dollars available in the first year. Construct an integer programming model to maximize the total expected revenue subject to the given condition. Do NOT solve the problem. A major aerospace manufacturing company is to decide whether to produce 2 new types of airplanes and possibly their variations in the next several years. In total, 5 new products, including the base models and their variations, are considered. They are: Jet-100, Jet-100-X, Jet-100-XL; Jet-120 and Jet-120-X. These new airplane projects may be launched in the next 4 years. The management of the company has identified the following conditions for launching these new products: 1. The base model of Jet-100 and Jet-120 cannot be launched in the same year 2. Variations of any base model may be launched in the year after the base model is launched 3. Jet-100-XL should be launched the year after the Jet-100-X is launched 4. Any new product cannot be launched more than once in this 4 year period 5. A minimum of 3 new products should be launched in this 4 year period 6. No more than 3 new products can be launched in any 2 consecutive years 7. The development costs must be within the available budget The revenues and development costs to launch these products are shown below. The revenue numbers are based on the current market demands and the values of similar products. The total budget for new product development in the next 4 years is 7 billion dollars with 3 billion dollars available in the first year. Construct an integer programming model to maximize the total expected revenue subject to the given condition. Do NOT solve the