Gce Model Questions Vol1 2021 Biology Question 46

A fasting individual has a blood glucose concentration of \(5.0\ \text{mmol L}^{-1}\). After a meal it rises to \(9.0\ \text{mmol L}^{-1}\). Baseline insulin is \(5\ \mu\text{U mL}^{-1}\) and baseline glucagon is \(12\ \mu\text{U mL}^{-1}\). For each \(1\ \text{mmol L}^{-1}\) increase in glucose above \(5.0\), insulin increases by \(2\ \mu\text{U mL}^{-1}\) and glucagon decreases by \(1\ \mu\text{U mL}^{-1}\). Hepatic glucose uptake (mmol min\(^{-1}\)) is given by \(U = 0.05\,(I - G)\), where \(I\) and \(G\) are the insulin and glucagon concentrations after the meal. Assuming a blood volume of \(5\ \text{L}\) and that uptake is constant over a period of \(30\) minutes with no other processes, what is the blood glucose concentration after this period (to one decimal place)?