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For a model in which two urban emergency units cooperate in responding to calls from a region that may have inhomogeneously distributed demands and complicated travel times, the expected response time to calls for service and the workload of each unit are calculated as functions of the boundary that separates the two response areas. The boundary that minimizes mean response time is determined; it may differ from the usual boundary consisting of points equidistant from the two units. Some boundaries may be dominated, in the sense that another boundary improves both workload balance and response time. The set of undominated boundaries is found. (See also R-531, R-533, R-567.)

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