Question

Первый столяр может произвести в день либо 24 табуретки, либо 6 столов, а второй столяр – либо 16 табуреток, либо 2 стола. Они решили объединиться в фирму. Сможет ли эта фирма за день произвести 4 стола и 23 табуретки?

Answer 1

Нет, не сможет, так как если первый столяр будет производить столы, то второй столяр сделает только 16 табуреток. А если первый столяр будет делать табуретки, то второй сделает только 2 стола.

Answer 2

Calculating Production Capacity of the Joint Firm

To determine if the joint firm can produce 4 tables and 23 stools in a day, we can calculate the production capacity of the joint firm based on the capabilities of the two carpenters.

The first carpenter can produce either 24 stools or 6 tables in a day, while the second carpenter can produce either 16 stools or 2 tables in a day.

Let's calculate the combined production capacity of the joint firm.

Production Capacity Calculation

- The first carpenter can produce 24 stools or 6 tables in a day. - The second carpenter can produce 16 stools or 2 tables in a day.

To produce 4 tables, the joint firm would need the capacity of the second carpenter, as the first carpenter's capacity is insufficient. To produce 23 stools, the joint firm would need the capacity of both carpenters, as neither carpenter individually has the capacity to produce 23 stools.

Therefore, the joint firm can produce 4 tables and 23 stools in a day by combining the capacities of both carpenters.

Conclusion: The joint firm can produce 4 tables and 23 stools in a day.