Inventory-skewed reservation price

You are making a market with the fair mid at $100. You are already long 10 units of inventory and want to quote around a reservation price that leans your quotes to shed risk. Your inventory penalty is $q\,\gamma\,\sigma^2 T$, where $q$ is your signed inventory, $\gamma = 0.1$ is your risk aversion, $\sigma^2 = 4$ is the per-period variance, and $T = 1$ is the horizon. At what price should you center your quotes (in dollars)?