The maintenance department of a large hospital uses about 1800 cases of liquid cleanser annually

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The maintenance department of a large hospital uses about 1800 cases of liquid cleanser annually. Ordering cost is $50, carrying cost is 0.15 percent of the prices of case, and the new price schedule indicates that orders of less than 100 cases will cost $30 per case, 101 to 200 cases will cost $25 per case, 201 to 350 cases will cost $20 per case, and larger orders will cost $15 per case.

i. Determine the optimal order quantity for each of the ranges

ii. Determine the optimal total cost per year for each of the ranges.

iii. Determine the minimal total cost solution to the problem.