Dixon Ltd produces a single product. It is currently preparing its production budget for June $2011.$ The following are the budgeted sales for June to August $2011.$

June $40,000$ units

July $60,000$ units

August $100,000$ units

The company aims to have stock $($inventory$)$ at the end of the month of $20\%$ of the budgeted sales for the following month. At the beginning of June $2011,14,000$ units were in stock. calculate the required production in June $2011$?