The public cloud model is best suited for the company's needs because it provides resources and services that are hosted off-premises and managed by the cloud service provider. This offers the required elasticity and pay-as-you-go pricing structure. The private cloud model, while it offers greater control and security, would still involve investment in infrastructure and cannot offer the same level of elasticity and cost efficiency for public-facing services. Hybrid models incorporate elements of both public and private clouds and may be overkill for a company simply looking to extend IT capabilities without the need for data center investments or integration with on-premises resources. Community clouds cater to specific groups and are not necessarily optimized for public-facing services or the flexible cost models the scenario describes.