The following information is available for Woodside Furniture Company, which sells two products: $$\begin{array} { l c c }
&\text { Chair } \mathrm { X } & \text { Chair } \mathrm { Y } \
\text { Processing time } & 4 \text { hours } & 6 \text { hours } \
\text { Metal used } & 30 \text { sq. t. } & 18 \text { sq. t. } \
\text { Selling price } & \$ 200.00 & \$ 100.00 \
\text { Variable cost } & \$ 150.00 & \$ 60.00 \
\text { Fixed cost } & \$ 30.00 & \$ 30.00
\end{array}$$ There are 200 hours available in the plant and 200 square feet of metal available per operating period. The constraint equation representing processing time available is
A)4X + 6Y ? 200.
B)4X + 6Y ? 200.
C)30X + 18Y ? 200.
D)4X + 6Y ? 400.

Question

The following information is available for Woodside Furniture Company, which sells two products: $$\begin{array} { l c c } 
&\text { Chair } \mathrm { X } & \text { Chair } \mathrm { Y } \
\text { Processing time } & 4 \text { hours } & 6 \text { hours } \
\text { Metal used } & 30 \text { sq. t. } & 18 \text { sq. t. } \
\text { Selling price } & \$ 200.00 & \$ 100.00 \
\text { Variable cost } & \$ 150.00 & \$ 60.00 \
\text { Fixed cost } & \$ 30.00 & \$ 30.00
\end{array}$$ There are 200 hours available in the plant and 200 square feet of metal available per operating period. The constraint equation representing processing time available is
A)4X + 6Y ? 200.
B)4X + 6Y ? 200.
C)30X + 18Y ? 200.
D)4X + 6Y ? 400.

Quizplus · Accepted Answer

The constraint equation for processing time is based on the hours each chair takes to produce and the total hours available. Chair X takes 4 hours, and Chair Y takes 6 hours, with a total of 200 hours available. Thus, the equation is 4X + 6Y ≤ 200, representing that the total processing time for producing chairs X and Y cannot exceed 200 hours.

The Following Information Is Available for Woodside Furniture Company, Which