A batch reactor produces 1 * 105 kg of a product per year. The total batch time

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A batch reactor produces 1 * 105 kg of a product per year. The total batch time (in hours) of the reactor is k√PB, where PB is the product per batch in kg and k = 1.0 h/√kg The operating cost of the reactor is Rs. 200/h. The total annual fixed charges are Rs. 340 * PB and the annual raw material cost is Rs. 2 * 106 The optimum size (in kg) of each batch (adjusted to the nearest integer) is

Options:

A . 748

B . 873

C . 953

D . 1148

Answer: Option C

-NA-

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