Please fill in the blanks for the definitions specified below. (a) and are some of the (non) commercial Database Management Systems. - 3 points. (b) Relational Data Model is based on the theory in Math. -2 points. (c) Consider two relations called R1 and Rz. The number of tuples in Rs and R2 are to and ta respectively. The number of attributes of R and Rz, on the other hand, are ni and nz. (tu, tz, ni, n2 >= 1). Fill in the blanks with formulae containing ti, t2, na, na, functions, and constants. Each correct answer - 2 points. If we apply RESTRICT operator to the relation R, the result will contain a minimum of and a maximum of tuples. The result relation will have a minimum of and a maximum of attributes. If we apply PROJECT operator to the relation Rz, the result will contain a minimum of and a maximum of tuples. The result relation will have a minimum of and a maximum of attributes. Assuming that R1 and R2 are union-compatible, if we UNION R1 and R2 relations, the result will contain a minimum of and a maximum of tuples. The result relation will have a minimum of and a maximum of attributes. if we 8-JOIN R1 and Rz over an attribute (or a set of attributes), the result will contain a minimum of and a maximum of tuples. The result relation will have a minimum of maximum of attributes. and a