Consider is the number of racing skates manufactured and is the number of figure skates manufactured.
The profit function is .
Hence is the objective function to be maximized.
The constraints are :
The positive number of skates must be manufactured then , .
Only hours are available for fabrication then .
Only hours are available for finishing then .
Graph :
Graph the constraints.
Observe the graph the corner points are , , and .
The function is .
Point 
Function 
Value 











The maximum profit is when racing skates and figure skates are produced.
The maximum profit is when racing skates and figure skates are produced.
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett 
"Your site is amazing! It helped me get through Algebra." Charles 
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease 