<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:

def calc_Cmax(mh, mc, Cph, Cpc):
    r'''Returns the heat capacity rate for the maximum stream
    having flows `mh` and `mc`, with averaged heat capacities `Cph` and `Cpc`.

    .. math::
        C_c = m_cC_{p,c}

        C_h = m_h C_{p,h}

        C_{max} = \max(C_c, C_h)

    Parameters
    ----------
    mh : float
        Mass flow rate of hot stream, [kg/s]
    mc : float
        Mass flow rate of cold stream, [kg/s]
    Cph : float
        Averaged heat capacity of hot stream, [J/kg/K]
    Cpc : float
        Averaged heat capacity of cold stream, [J/kg/K]

    Returns
    -------
    Cmax : float
        The heat capacity rate of the larger fluid, [W/K]

    Notes
    -----
    Used with the effectiveness method for heat exchanger design.
    Technically, it doesn't matter if the hot and cold streams are in the right
    order for the input, but it is easiest to use this function when the order
    is specified.

    Examples
    --------
    >>> calc_Cmax(mh=22., mc=5.5, Cph=2200, Cpc=4400.)
    48400.0

    References
    ----------
    .. [1] Bergman, Theodore L., Adrienne S. Lavine, Frank P. Incropera, and
       David P. DeWitt. Introduction to Heat Transfer. 6E. Hoboken, NJ:
       Wiley, 2011.
    '''
    Ch = mh*Cph
    Cc = mc*Cpc
    return max(Ch, Cc)