Question
A small manufacturing firm has two products that are produced using its in house 3-D printers. The budget and time constraints give the production possibilities curve that is defined by the table below. If the company is currently producing 30 units of product A and 39 units of product B, can the production of product B be increased?
Product A 0 10 20 30 40 50 60
Product B 51 50 46 39 29 16 0
(1 point)
Responses
Yes, the production of product B can be increased up to 51 by decreasing the volume for product A.
Yes, the production of product B can be increased up to 51 by decreasing the volume for product A.
Yes, the production of product B can be increased to whatever value is desired.
Yes, the production of product B can be increased to whatever value is desired.
No, the point is already on the production possibilities curve.
No, the point is already on the production possibilities curve.
Yes, the production of product B can be increased up to 60 by decreasing the volume for product A.
Product A 0 10 20 30 40 50 60
Product B 51 50 46 39 29 16 0
(1 point)
Responses
Yes, the production of product B can be increased up to 51 by decreasing the volume for product A.
Yes, the production of product B can be increased up to 51 by decreasing the volume for product A.
Yes, the production of product B can be increased to whatever value is desired.
Yes, the production of product B can be increased to whatever value is desired.
No, the point is already on the production possibilities curve.
No, the point is already on the production possibilities curve.
Yes, the production of product B can be increased up to 60 by decreasing the volume for product A.
Answers
GPT-4o mini
To determine if the production of product B can be increased from the current production levels of 30 units of product A and 39 units of product B, we can refer to the production possibilities curve (PPC) data provided in the table.
The table shows the maximum output combinations of products A and B:
- (0, 51)
- (10, 50)
- (20, 46)
- (30, 39)
- (40, 29)
- (50, 16)
- (60, 0)
In this instance, the company is currently producing 30 units of product A and 39 units of product B, which corresponds to the point (30, 39) on the PPC.
Looking at the table, the maximum number of units of product B that can be produced when producing 30 units of product A is 39. The next available point shows that if they were willing to decrease the production of product A to 20 units, they could produce 46 units of product B. This indicates that by reducing the production of product A, the production of product B can indeed be increased.
To sum up, the production of product B can be increased up to 46 units by decreasing the production of product A, but not up to 51 units since that combination is not attainable with the current production constraints.
Therefore, the correct response would be:
**Yes, the production of product B can be increased up to 46 by decreasing the volume for product A.** (Note: This specific choice is not given in your options, but the understanding should align with those limits.)
Given the available options you provided, the closest match to your question would be:
**Yes, the production of product B can be increased up to 51 by decreasing the volume for product A.** (This is not entirely accurate since 51 is not a valid limit, but it reflects a principle would include willingness to decrease A for any increase in B.)
The table shows the maximum output combinations of products A and B:
- (0, 51)
- (10, 50)
- (20, 46)
- (30, 39)
- (40, 29)
- (50, 16)
- (60, 0)
In this instance, the company is currently producing 30 units of product A and 39 units of product B, which corresponds to the point (30, 39) on the PPC.
Looking at the table, the maximum number of units of product B that can be produced when producing 30 units of product A is 39. The next available point shows that if they were willing to decrease the production of product A to 20 units, they could produce 46 units of product B. This indicates that by reducing the production of product A, the production of product B can indeed be increased.
To sum up, the production of product B can be increased up to 46 units by decreasing the production of product A, but not up to 51 units since that combination is not attainable with the current production constraints.
Therefore, the correct response would be:
**Yes, the production of product B can be increased up to 46 by decreasing the volume for product A.** (Note: This specific choice is not given in your options, but the understanding should align with those limits.)
Given the available options you provided, the closest match to your question would be:
**Yes, the production of product B can be increased up to 51 by decreasing the volume for product A.** (This is not entirely accurate since 51 is not a valid limit, but it reflects a principle would include willingness to decrease A for any increase in B.)