To prepare 300 capsules of 150 mg progesterone using #1 capsules, with pack weights Progesterone 0.256 and Cellulose 0.218, which amounts are needed for progesterone and cellulose?

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When preparing multiple capsules, you use the given pack weights to keep the same proportion between the active drug and the excipient across the batch. The total amount of active drug you must deliver is fixed by the number of capsules and the per-capsule dose, and the excipient amount follows from the stated ratio.

First, total progesterone needed:

300 capsules × 150 mg per capsule = 45,000 mg = 45 g.

The pack weights tell you the relative amounts of progesterone and cellulose in the fill. The ratio of cellulose to progesterone is 0.218 to 0.256. To find the total amount of cellulose corresponding to the 45 g of progesterone, scale by that ratio:

cellulose total ≈ 45 g × (0.218 / 0.256) ≈ 45 g × 0.8516 ≈ 38.2 g.

So the amounts are about 45 g progesterone and about 38 g cellulose for the 300 capsules.

Note: if an answer option shows 27.08 g of cellulose, that would reflect a different interpretation or a misprint in the given choices. The calculation above follows directly from the stated pack weights and the required total progesterone.