Sweetener A has a relative sweetness of 200× and Sweetener B has a relative sweetness of 800× compared to sucrose. How many milligrams of each are required to match the sweetness of 30 grams of sucrose, and by what factor is one sweetener more concentrated than the other per mg?

• A. 75 mg for A and 18.75 mg for B; B is 2 times more concentrated than A due to nonlinear intensity scaling.
• B. 150 mg for Sweetener A and 37.5 mg for Sweetener B; Sweetener B is 4 times more concentrated per mg than A.
• C. 0.15 mg for A and 0.0375 mg for B because relative sweetness values convert directly into microgram-level requirements for sensory perception.
• D. 300 mg for A and 150 mg for B; this reflects a molar equivalence assumption rather than relative sweetness.

Answer: (B)