The unit holding cost in a single-period inventory situation is $1. If the order quantity is 4 units, find the permissible range of the unit penalty cost implied by the optimal conditions. Assume that the demand occurs instantaneously at the start of the period. The demand pdf for the period is:

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D 0 f(D) .05 1 .1 2 .1 3 4 .2 .25 5 6 15 .05 7 .05 8 .05