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To obtain the CO abundances from the total gas density, we assume that molecular Hydrogen dominates in all gas cooler than 1,000 K, where $n_{{\rm H}_2}=\rho/(2.8 m_p)$. We adopt constant CO abundances of [$^{12}$CO/H$_2$]=$8.6 \times 10^{-5}$ and [$^{12}$CO/$^{13}$CO]=62 for gas cooler than 900 K; otherwise the CO abundance is set to zero. Thus, line emission only originates in relatively cold gas in the dense core and gas entrained by the outflow; the warm, low-density ambient material and the hot, outflow gas, which is ionized by construction, do not emit. We adopt the molecular collisional coefficients from \citet{schoier05}.   \subsection{Inteferometry Modelling}  We converted convert  the RADMC-3D output into skymaps that we used as input for the Common Astronomy Software Applications (CASA) task simobserve. 'simobserve'.  Using simobserve, we placed the model at the distance (450 pc) and the RA and Dec. of HH46/47, an outflow recently observed by ALMA (Arce, source).The distance of the source was also chosen   We use the Common Astronomy Software Applications (CASA) to simulate observation with the task simobserve. We assumed a distance of 450 pc to the source and calculated other CASA settings from this distance and the dimensions of the simulation.  We set the add thermal  noise tobe tsys-atm which uses  the pwc (precipitable Water Vapor) and temperature. These were kept at CASA defaults of synthetic observations, assuming  0.5mm of precipitable  water vapour  and a  ground temperature of 269K which reflect good observing conditions at \href{http://almascience.eso.org/about-alma/weather/atmosphere-model}{ALMA}. We examined the effects of changing the total integration time, the conditions. Synthetic observations were made with various ALMA configurations,  pointing time times  and the ALMA array used.  \subsection{Analysis} integration times.  Weused the CASA task simanalyze to  deconvolve and clean the observed images. We determined that 10 000 cleaning cycles were optimal and that we never terminated the clean early with the threshold set at 0.1mJy. CASA output using task 'simanalyze'.  \subsection{All Runs}  \begin{center}