please write the constraints.

Suppose that a manufacturer is interested in launching 7 new products (i=1,,7) to the market. By assuming that xi denotes the quantity of product i to produce and by using 01 variables, model the following objective function and constraints in a linear fashion. The definition of all binary variables that might be used in the model must be provided. MinZ=f(x1)+i=27Cixi where f(x1)={8+2x10if0.w.x1>0} Subject to: 1) The manufacturer must launch at least two of them. 2) The manufacturer cannot launch all of them. 3) Product 1 cannot be launched if product 7 is launched. 4) The manufacturer must choose either "strategy #1 : to launch at least one of products 1, 2, 3", or "strategy #2 : to launch at least two products from 4,5,6,7" ". 5) Product 3 is launched if product 6 is also launched. 6) If the manufacturer decides to choose product 1 , at least 2000 units must be produced (either product 1 is not produced or at least 2000 units must be produced)