Figure $1-20$ From$-$to chart showing number of materials handling trips per day $51.)$ Four products are produced in the facility described in problem $50.$ The routing for these products and their forecasted production rates are: Suppose that all four products are produced in batches of size $50.$ A$.$ Convert this information into a from$-$to chart similar to Figure $1-20$ but giving the number of materials handling trips per week between departments. $()$ B$.$ Suppose that the cost of transporting goods $1$ foot is estimated to be $.$ Using the fromto chart you determined in part $($a$),$ obtain a from$-$to chart giving materials handling cost per week between departments. $(5$ pts$)$ C$.$ Develop an activity relationship chart for this facility based on the materials handling cost from$-$to chart you obtained in part $($b$).$ Use only the rankings $,$ with being assigned to the highest cost and the least. $(5$ pts$)$ D$.$ Based on the results of parts $($b$)$ and $($c$),$ would you recommend a different layout for this facility? $(5$ pts$)$