4) Model the linear programming problem for the following scenario: (10 marks) *Do not attempt to solve. Write the objective function and all of the constraints. (10 min) Soundex produces two models of satellite radios. Model A requires 16 min of work on assembly line I and 12 min of work on assembly line II. Model B requires 19 min of work on assembly line I and 10 min of work on assembly line II. At most, 20 labor-hours of assembly time on the line I and 17 labor-hours of assembly time on the line II are available each day. It is anticipated that Soundex will realize a profit of $68 on model A and $75 on model B. How many satellite radios of each model should be produced each day in order to maximize Soundex's profit?