Final answer:
To support 14 subnets, the subnet mask should be 255.255.255.240
Step-by-step explanation:
To support 14 subnets in a class C network, you would need a subnet mask that allows for enough subnet addresses. Each subnet requires a unique subnet address. Using the formula 2^n (where n is the number of host bits), we can find the number of available subnet addresses. In this case, n=4, so 2^4=16. Since we need at least 14 subnets, the subnet mask should have 4 host bits and 4 network bits, resulting in a subnet mask of 255.255.255.240.