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The Union Manufacturing Company Is Producing Two Types of Products

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The Union Manufacturing Company is producing two types of products: A and B.The demand forecasts,batch size,and time standards for the Mark I operation follow:
 Product A  Product B  Demand forecast (units/yr) 1,0004,000 Batd size (units/bat d) 2010 Processing time (hr/unit) 3.24.5 Setup time (hr/batch 1020\begin{array} { l | c | c } & \text { Product A } & \text { Product B } \\\hline \text { Demand forecast (units/yr) } & 1,000 & 4,000 \\\text { Batd size (units/bat d) } & 20 & 10 \\\text { Processing time (hr/unit) } & 3.2 & 4.5 \\\text { Setup time (hr/batch } & 10 & 20\end{array}
The company works 250 days per year and operates 2 shifts,each covering 8 hours.If a 20 percent capacity cushion is maintained,how many new Mark I machines are required if Union does not resort to any short-term capacity options?

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