Coffee Corporation Manufactures Two Different Miniature Models of Furniture,a Table

Essay

Coffee Corporation manufactures two different miniature models of furniture,a table and a chair.The company has 500 metres of lumber,400 machine hours,and 600 direct labour hours available for production.The miniature tables and chairs provide $5 and $4 of contribution margin,respectively.
The time and lumber requirements to build a miniature table or chair are as follows:
$\begin{array}{lcc}&\text { Table}&\text { Chair}\\\text { Metres of lumber per unit } & 5 & 2 \\\text { Machine hours per unit } & 2 & 3 \\\text { Direct labour hours per unit } & 4 & 2\end{array}$
a.What is the objective function being maximized?
b.What are the constraint equations?
c.Graph the constraint equations.Identify the feasible region.
d.What is the optimal solution?