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?

Question

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?

Quizplus · Accepted Answer

The Answer of 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?

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