A pharmaceutical company producing medicine determines that the ideal weight per dose of a certain drug is 0.05 grams. By law, the actual weight can vary from the ideal value by no more than 0.002 grams. What range of weights will be acceptable to an inspector without causing the pharmacy to be fined?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
To find the acceptable range of weights for the drug dosage, we start with the ideal weight of 0.05 grams and apply the allowed variation of ±0.002 grams.
The maximum weight allowed would be the ideal weight plus the maximum variation: Maximum weight = Ideal weight + Variation Maximum weight = 0.05 grams + 0.002 grams Maximum weight = 0.052 grams
The minimum weight allowed would be the ideal weight minus the maximum variation: Minimum weight = Ideal weight - Variation Minimum weight = 0.05 grams - 0.002 grams Minimum weight = 0.048 grams
Therefore, the range of weights that would be acceptable to an inspector is from 0.048 grams to 0.052 grams. As long as the drug's weight per dose falls within this range, the pharmaceutical company will not be fined for variation.