Vance Refrigeration, Inc. makes industrial sized refrigerators for grocery retailers. They produce three different types of refrigerating units, which must all be produced by a machine that is considered the process bottleneck. The plant operates on $28-$hour shifts, $5$ days per week, $52$ weeks per year. The table below provides the standards at the bottleneck, lot sizes, and demand forecasts for the three units. Due to uncertainty in demand, the operations manager has obtained three different forecasting scenarios $($pessimistic$,$ expected, optimistic$).$ The manager believes a $15\%$ capacity cushion is best.Screen Shot $2020-06-02$ at $12\mathrm{.}27\mathrm{.}07$ PM$-1.$pngHow many machines are required to meet expected demand? Use the table below to find time required for production.