A Jumbo Jet Factory Can Produce Two Types of Planes\_-UnitMach $\$ 10,000$

A jumbo jet factory can produce two types of planes\_-UnitMach and BigMach. UnitMach takes 6 man weeks of labor and 7 units of critical machine time. BigMach takes 8 man weeks of labor and 12 units of critical machine time. The total man 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 $\$ 12000$ . Assuming that integer quantities of products should be produced, find the total contribution maximizing solution.