Minimums represents a price floor that, regardless of whatever your discount percentage is on that service, your net charge for that package will never go below
While Minimum reduction is the result of the negotiation. Shippers will negotiate a minimum reduction so at least the minimum amount will be lowered down. And shippers can get additional savings.
Example:
Before negotiation of Minimum reduction:
Published price on a Service: $10
Service Discount based on agreement: 90%
Minimum price set by the carrier: $8
Net Payment/Cost: $8
After negotiation of Minimum reduction:
Published price on a Service: $10
Discount based on agreement: 90%
Minimum price set by the carrier: $8
Minimum reduction $3
Net Payment/Cost: $5