A jumbo jet factory can produce two types of planes: UnitMach and BigMach. UnitMach takes 6 weeks of labor and 7 units of machine time. BigMach takes 8 weeks of labor and 12 units of machine time. The total weeks of labor available during the planning horizon are 50; total units of machine time available during the planning horizon are 70. Contribution of UnitMach is $10,000 and BigMach is $12,000. Assuming that integer quantities of products should be produced, find the total contribution maximizing solution