Final answer:
The trade-off between constructing sheds and shelves is inequitable for Sandy as she would spend more hours building a shed than she would in constructing four shelves. Therefore, the statement that 1 shed equals the trade value of 4 shelves is false.
Step-by-step explanation:
The question involves determining if a given trade-off between constructing sheds and constructing shelves is equitable based on the hours of work required by Fred and Sandy. First, we need to compare the amount of time taken by each person to construct these items. Fred takes 40 hours to construct a shed and 10 hours to construct a shelf. Sandy takes 32 hours to construct a shed and only 4 hours to construct a shelf.
We can directly compare the time taken for each task to determine if 1 shed is worth 4 shelves. For Fred, 4 shelves would take a total of 40 hours (10 hours per shelf × 4 shelves), which is equivalent to the time it takes him to build 1 shed, making the trade equitable for him. For Sandy, 4 shelves would take 16 hours (4 hours per shelf × 4 shelves), which is less than the time it takes her to build a shed (32 hours), making the trade inequitable from her perspective.
Based on the time commitment required for both tasks, the statement that the minimum trade price that would be accepted for 1 shed would be 4 shelves is False for Sandy, as she would be providing more labor for the shed than she would receive in return for constructing shelves.