Venya and Kari own a flower shop that specializes in custom bouquets. Wanting to expand into selling potted plants, they create a production possibility chart to assess whether the potted plants are a good idea. Study their chart:

\begin{tabular}{|l|l|l|}
\hline
Day & \begin{tabular}{l}
Number of \\
Bouquets \\
Produced
\end{tabular} & \begin{tabular}{l}
Number of \\
Potted Plants \\
Produced
\end{tabular} \\
\hline
1 & 100 & 0 \\
\hline
2 & 75 & 25 \\
\hline
3 & 50 & \\
\hline
\end{tabular}

How many potted plants should they be able to produce on Day 3?

A. 25
B. 30
C. 50
D. 75



Answer :

To determine the number of potted plants that Venya and Kari should be able to produce on Day 3, we need to understand the relationship between the number of bouquets produced and the number of potted plants produced.

First, let's observe the data:

- On Day 1, they produced 100 bouquets and 0 potted plants.
- On Day 2, they produced 75 bouquets and 25 potted plants.

From this information, we can determine the rate of change in the number of potted plants relative to the number of bouquets produced.

We can see that when the number of bouquets decreased from 100 to 75 (a decrease of 25 bouquets), the number of potted plants increased from 0 to 25 (an increase of 25 potted plants).

This tells us that for every bouquet they produce less (compared to the previous day), they can produce one additional potted plant. In other words, there is a one-to-one relationship between producing fewer bouquets and producing more potted plants.

Now, let's use this information to find out how many potted plants should be produced on Day 3:

- On Day 1, 100 bouquets were produced.
- On Day 3, 50 bouquets are produced.

The number of bouquets has decreased by 50 (from 100 to 50). With the established rate of one additional potted plant for every bouquet reduced, Venya and Kari should be able to produce 50 more potted plants than they did on Day 1 when no potted plants were produced.

Therefore:
Number of potted plants on Day 3 = 0 (from Day 1) + 50 (bouquettes decreased) = 50.

Thus, Venya and Kari should be able to produce 50 potted plants on Day 3.

So, the correct answer is:
50