Putinoil faces competition from a new firm called Natoil. As the incumbent, Putinoil is able to decide how many barrels of oil q1 to ship before Natoil decides how many barrels of oil q2 to ship. Barrels of oil sell for a price p(Q) = 400 2Q, where total production Q = q1 q2. Putinoil can either ship barrels by train for 100 per barrel or by truck for 120 per barrel. Natoil can either ship barrels by train for 150 per barrel or by truck for 100 per barrel. Due to sanctions, Putinoil also incurs a 60 per barrel additional cost to evade sanction enforcers. It costs Natoil 3000 to set up its distribution network; Putinoil has no setup costs because its distribution network is already established. Throughout this problem, you can assume that partial barrels of oil can be shipped (i.e., q1 and q2 do not have to be nonnegative integers)