𝑐𝑜𝑠𝑡(add_person, 𝑛𝑖) ≤ 0.01. The cost of running add_person
    on 𝑛𝑖
    instances of type 𝑖 machines must be less than the
    specified value. The value can either be specified by the
    end user or provided by the hosting platform.

    𝑖 𝑛𝑖 > 0. Allocate some machines to fulfill the workload.