Assume that it takes four hours of labor time to paint a room and three hours to sand a floor.If all 24 hours were spent painting, how many rooms could be painted by one worker? If a decision were made to sand two floors, how many painted rooms would have to be given up? ILLISTRATE WITH A PRODUCTION POSSIBILITIES CURVE.
This is a simple algebra problem -- actually two problems as you have two situations. However, you might consider that paint has to dry a certain number of hours before a second (usually required) coat should be put on. So ask this another way -- if a room takes four hours to paint and five hours to dry before putting on the second coat and the worker takes an hour for meals every six hours, how many rooms could be painted in 24 hours?
Economics is more than just math formulas.
To find out how many rooms could be painted by one worker in 24 hours, we need to calculate the time it takes to complete painting one room and then divide the total available hours by that time.
Given that it takes four hours of labor time to paint a room, one worker can complete 24/4 = 6 rooms in 24 hours.
Now, let's consider the scenario where a decision is made to sand two floors. To determine the number of painted rooms that would have to be given up, we need to calculate the time it takes to sand two floors and then divide that time by the time it takes to paint one room.
Given that it takes three hours to sand a floor, two floors would require 3 * 2 = 6 hours to complete.
To find out the number of painted rooms that would have to be given up, we divide the time required to sand the floors (6 hours) by the time it takes to paint one room (4 hours), which gives us 6/4 = 1.5 rooms.
Since fractions of rooms aren't feasible, we would have to give up 1 painted room to sand two floors.
To illustrate this scenario on a production possibilities curve, we would plot the number of painted rooms on the y-axis and the number of sanded floors on the x-axis. The curve would show the trade-off between the two activities as we move from one point to another. With the given information, the curve would show points like (6, 0), (5, 2), (4, 4), and so on, indicating different combinations of painted rooms and sanded floors based on the time available and the time required for each task.