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A small manufacturing firm has two products that are produced using its in house 3-D printers. The budget and time constraints for this process 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? Explain.

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.

Yes, the production of product B can be increased up to 60 by decreasing the volume for product A.
Yes, the production of product B can be increased up to 60 by decreasing the volume for product A.

No, the point is already on the production possibilities curve.
No, the point is already on the production possibilities curve.

1 answer

To determine whether the production of product B can be increased from the current levels while producing 30 units of product A and 39 units of product B, we should refer to the provided table of production possibilities.

The table shows the trade-off between the number of units of products A and B that can be produced. As we can see from the table:

  • When producing 30 units of product A, the maximum production of product B is 39 units.
  • To increase production of product B, production of product A must decrease.

The maximum production of product B when decreasing production of product A from 30 units is as follows:

  • If produce 30 units of product A, you can produce 39 units of product B.
  • If decrease production to 20 units of product A, production of product B can increase to 46 units.
  • If decrease production to 10 units of product A, production of product B can increase to 50 units.
  • If produce 0 units of product A, production of product B can increase to 51 units.

From the current production point of 30 units of product A and 39 units of product B, the only way to increase product B is by decreasing the production of product A.

Thus, the correct response is:

Yes, the production of product B can be increased up to 51 by decreasing the volume for product A.