In andrew’s furniture shop, he builds bookshelves and tables. each type of furniture takes him about the same time to make. he figures he has time to make, at most, 25 pieces of furniture by this saturday. the materials for each bookshelf cost him $20.00 and the materials for each table cost him $45.00. he has $675.00 to spend on materials. andrew makes a profit of $60.00 on each bookshelf and a profit of $100.00 for each table. how many of each piece of furniture should andrew make to maximize profit? a. define variables b. write the constraint inequalities that represent the situation, and explain what each of the inequalities represents. (you should have four inequalities.) c. what are the vertices of the feasible region?