Figure 25-7
The following information is available for the Johnson Boat Company, which sells two products: $\begin{array}{lcc}
&\text { 3- Person Raft } & \text { Kayak } \
&\text { (Variable } A \text { ) } & \text { (Variable B) }\
\text { Selling price } & £ 50 & £ 80 \
\text { Variable costs } & £ 35 & £ 50 \
\text { Fixed costs (average) } & £ 10 & £ 20 \
\text { Processing time } & 2 \text { hours } & 4 \text { hours } \
\text { Vinyl cover used } & 16 \mathrm{sq} . \mathrm{ft} . & 12 \mathrm{sq} . \mathrm{ft} .
\end{array}$
There are 100 hours available in the plant and 75 square metres of vinyl available per operating period.
-Refer to Figure 25-7. The objective function for this production situation is to:
A)maximize £15A + £30B.
B)maximize £50A + £80B.
C)maximize £35A + £50B.
D)minimize £15A + £30B.

Question

Figure 25-7
The following information is available for the Johnson Boat Company, which sells two products: $\begin{array}{lcc}
&\text { 3- Person Raft } & \text { Kayak } \
&\text { (Variable } A \text { ) } & \text { (Variable B) }\
\text { Selling price } & £ 50 & £ 80 \
\text { Variable costs } & £ 35 & £ 50 \
\text { Fixed costs (average) } & £ 10 & £ 20 \
\text { Processing time } & 2 \text { hours } & 4 \text { hours } \
\text { Vinyl cover used } & 16 \mathrm{sq} . \mathrm{ft} . & 12 \mathrm{sq} . \mathrm{ft} .
\end{array}$
 There are 100 hours available in the plant and 75 square metres of vinyl available per operating period.
-Refer to Figure 25-7. The objective function for this production situation is to:
A)maximize £15A + £30B.
B)maximize £50A + £80B.
C)maximize £35A + £50B.
D)minimize £15A + £30B.

Quizplus · Accepted Answer

The objective function in a linear programming problem typically seeks to maximize or minimize a value, often profit or cost. Here, the profit for each 3-Person Raft (A) and Kayak (B) is calculated by subtracting the variable costs from the selling price, which gives £15 (£50 - £35) for A and £30 (£80 - £50) for B. Therefore, the objective is to maximize £15A + £30B.

Figure 25-7 the Following Information Is Available for the Johnson

Figure 25-7
the Following Information Is Available for the Johnson