Empty hopper are cleaned automatically on the return trip to A. Activities and times for this nrocess are To ensure that chemical mixes are always available at building B, what is the minimum number of hoppers required? If the chemical mix cannot stay in the hopper longer than 20 minutes from the time loading is completed and unloading begins, what is the maximum number of hoppers that could be used? Demonstrate graphically that your solution is feasible. 9. It takes 2 minutes to load and 2 minutes to unload a machine. Inspection packaging, and travel between machines equal a total of 1 minute. The machine runs automatically 8 minutes. Operators costs $4 per hour, each. Each machine costs $6 per hour. (a) What is the maximum number of machines one man can handle and not have machine idle time during a repeating cycle? (b) What is the assignment that will minimize cost per unit produced? (c) What is the cost per unit produced, based on a four-machine assignment? (d) If the unload and load time had not been known, for what range of values for part (a) would the economic assignment be 2? 3? (e) If operator cost is normally distributed with a mean of 4 and a variance of 2 , and machine cost is normally distributed with a mean of 6 and a variance of 2 , what is the probability that the economic assignment equals 2 ? (f) If the company has seven identical machines, how should they be distributed among operators to minimize cost per unit produced