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:
| Day | Number of Bouquets Produced | Number of Potted Plants Produced |
|---|---|---|
| 1 | 100 | 0 |
| 2 | 75 | 25 |
| 3 | 50 | |
How many potted plants should they be able to produce on Day 3?
A. 25
B. 30
C. 50
D. 75
Answer (2)
Calculate the decrease in bouquets from Day 1 to Day 2: 100 − 75 = 25 .
Calculate the increase in potted plants from Day 1 to Day 2: 25 − 0 = 25 .
Calculate the decrease in bouquets from Day 2 to Day 3: 75 − 50 = 25 .
Calculate the number of potted plants on Day 3: 25 + 25 = 50 , so the final answer is 50 .
Explanation
Analyzing the Production Chart Let's analyze the production possibility chart to determine the number of potted plants produced on Day 3. We'll look for a pattern in the production of bouquets and potted plants.
Changes from Day 1 to Day 2 From Day 1 to Day 2:
Bouquets decrease from 100 to 75, a decrease of 100 − 75 = 25 bouquets.
Potted plants increase from 0 to 25, an increase of 25 − 0 = 25 potted plants.
Changes from Day 2 to Day 3 From Day 2 to Day 3:
Bouquets decrease from 75 to 50, a decrease of 75 − 50 = 25 bouquets.
Calculating Potted Plants on Day 3 Assuming the number of potted plants increases by the same amount that the number of bouquets decreases, we can calculate the number of potted plants produced on Day 3:
Potted plants on Day 2: 25
Increase in potted plants: 25
Potted plants on Day 3: 25 + 25 = 50
Final Answer Therefore, they should be able to produce 50 potted plants on Day 3.
Examples
Understanding production possibilities helps businesses allocate resources efficiently. For example, a bakery can use a similar chart to decide how many cakes and loaves of bread to bake each day, based on available ingredients and time. By analyzing the trade-offs, they can maximize their output and profits. This concept is also applicable in personal finance, where individuals decide how to allocate their time between work and leisure to achieve a balance that suits their needs.
On Day 3, Venya and Kari should be able to produce 50 potted plants. This is based on the trend observed from previous days where the increase in potted plants matched the decrease in bouquets. Therefore, the answer is 50 potted plants.
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