a company manufactures bookshelves and desks let x represent the number of bookshelves manufactured daily and y the number of desks manufactured daily. the company's profits are $45 per bookshelf and $55 per desk

1. write the objective function that models the company's total profit Z
2. write an inequality that models the following constraint: the company should not manufacture more than the a total of 80 bookshelves and desks per day
3. write an inequality that models the following constraint: the company must manufacture between 30 and 80 bookshelves per day, inclusive:
4. write an inequality that models the following constraint: the company must manufacture at least 10 and no more than 30 desks per day
5. write the three constraints as a system of linear equations