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The Unit-Price Estimating Method is the correct choice because it involves calculating a unit price for specific work items based on the estimated quantities and costs of labor, materials, and overhead required to complete those items. This method allows contractors to determine the total project cost by multiplying the unit price by the total estimated quantities of work.

By bundling all relevant cost factors, including labor rates, material costs, and overhead expenses, contractors can create a clear and manageable pricing structure that is both transparent and adjustable. This method is particularly useful in projects where quantities are uncertain at the onset, allowing for flexibility and accuracy as work progresses.

In contrast, the Fixed Price Method sets a total price at the beginning of the project without detailing individual components, the Cost-Plus Method reimburses the contractor for costs plus a fee, and Value Engineering is focused on improving the value of a project by analyzing its functions and reducing costs without affecting quality. While all of these methods involve cost considerations, only the Unit-Price Estimating Method specifically combines all cost factors into a per-unit pricing strategy.