Kyle M. answered 07/08/15
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I believe this question is asking you to decide how many widgets constitute 75% of the range between the minimum & maximum number kept on hand.
1. Subtract the minimum from the maximum: 280,000 - 75,000 = 205,000 widgets (this is the range of possible numbers of widgets on hand - from the minimum to the maximum)
2. Multiply the range by 75%: 205,000 X 0.75 = 153,750 widgets (this represents 75% of the range from the minimum to the maximum)
3. Add 153,750 to the minimum number: 75,000 + 153,750 = 228,750 widgets
228,750 is the number of widgets you will keep on hand, given the conditions you stated. This number is 75% of the maximum on hand inventory, given that you will always have at least 75,000. In a sense, think of 75,000 as the starting point & increase your quantity to 75% of the "distance" to 280,000.