To estimate the glucose production in tonnes per year, you'd typically need specific parameters from the Q14, such as the fermentation rate, glucose consumption or production rate, and reactor volume. However, without access to those exact parameters, we can assume that this question is based on a calculation or model discussed in your course materials.
Given the options provided, the values seem very close to each other, so (b) 56.6 tonnes yr^-1 could be the most likely answer. However, it is crucial to apply the correct formula from your bioprocess reactor calculations, typically involving the rate of glucose production and the operational time of the reactor, which would give you the exact number of tonnes per year.
You should verify the specific details of Q14 and the relevant calculation method from your class notes or textbooks to confirm this.