Explanation in 250 words Please. No much calculation just W Michael Smith has been tasked with determining the size ofa major tire manufacturer's retail tire inventories. After sampling 120 of the manufacturer's retailers, he discovered the mean to be 310 tires. The industry average is 325 tires. Discuss if the manufacturer's inventory level is considerably different from the industry norm if the standard deviation for the sample was 72. Explain why, using a 95% confidence interval. Would your answer change if you used a 99% confidence interval? Explanation in 250 words Please When many constraints are present in a linear optimization problem, there is a greater chance that a redundant constraint exists. Assume you are trying to maximize an objective function and you have two decision variables, X1 and X2. Ifa redundant constraint exists, does the constraint become necessary if you try to minimize (instead of maximize) the same objective function? Why? Do you need an objective function to determine ifa constraint is redundant? Explain