A company makes two chemicals: Type I and Type II. Due to storage problems, a maximum of 100
pounds of Type I and 150 pounds of Type II can be mixed and packaged each year. One pound of Type I
takes 62 hours to mix and 78 hours to package; one pound of Type II takes 44 hours to mix and 46 hours
to package. The mixing department has at most 7220 hours available each year, and packaging has at
most 8260 hours available. If the profit for one pound of Type I is $70 and for one pound of Type II is
$46, what is the maximum profit possible each year?