Albatross furniture company produces tables, chairs, and bookshelves per schedule according to demand. Each unit of table, chair and bookshelf can be sold at a profit $60, $90 and $30 respectively. Resources companies in the form of wood materials available 90 cubic; where the production of each table requires 1 cubic; every the chair takes 4 cubics; and for bookshelf it takes 7 cubic. Company rules stipulate working hours should not exceed 30 hours; Resource labor makes each product takes 1 hour.

a. Model this case as a form of formulation in order to maximize company profits

using a linear program and the Simplex method.

B. which resources can be prioritized (increase/decrease) which has more effect

to the increase in profit?

c. Albatross wants to develop the fourth product, namely benches. Every bench needs Worked 1 hour with 1 cubic yard of wood, and the bench profit is $50 per unit. Is the bench worth it made for maximum profit?