For each problem below, create a clear ERD showing the relationships (with verb like HAS, MANAGES, etc.), the cardinalities (1:1, 1:M, M:N), and whether the relation is optional or required. For M:N relations, include an appropriate linking table to implement them. Entities should have necessary attributes shown, as can be discerned from the description. 1. The Hudson Engineering Group (HEG) has contacted you to create a conceptual model whose application will meet the expected database requirements for the company's training program. The HEG administrator gives you the description (see below) of the training group 's operating environment. (Hint: Some of the following sentences identify the volume of data rather than cardinalities. Also some details here cannot be shown in an ERD. Can you tell which ones?) The HEG has 12 instructors and can handle up to 30 trainees per class. HEG offers five Advanced Technology courses, each of which may generate several classes. If a class has fewer than 10 trainees, it will be canceled. Therefore, it is possible for a course not to generate any classes. Each class is taught by one instructor. Each instructor may teach up to two classes or may be assigned to do research only. Each trainee may take up to two classes per year