Evaluate the marginal cost of expanding IBM's cloud computing services.

Cost Components	Fixed Costs ($)	Variable Costs per Unit ($)	Production Volume (units)
Cloud Computing Services	2,800,000,000	2	1,000,000,000

Requirements:

Calculate the marginal cost per unit.

Determine the break-even point for the cloud computing services expansion.

Analyze how changes in production volume affect the marginal cost.

Provide recommendations for optimizing cloud computing services costs.