A manager must decide on the mix of products to produce for the coming week.Product A requires three minutes per unit for molding,two minutes per unit for painting,and one minute for packing.Product B requires two minutes per unit for molding,four minutes for painting,and three minutes per unit for packing.There will be 600 minutes available for molding,600 minutes for painting,and 420 minutes for packing.Both products have contributions of $1.50 per unit.
a.Algebraically state the objective and constraints of this problem.
b.Plot the constraints on the grid below and identify the feasible region. 
Definitions:
Sternal Break
A fracture or break in the sternum, often a result of a direct blow or trauma to the chest area.
Xiphoid Process
The smallest and lowermost part of the sternum, providing attachment points for muscles and ligaments of the abdomen.
Sternal Angle
The sternal angle, or Angle of Louis, is the anatomical landmark formed by the joint between the manubrium and the body of the sternum, often used as a reference point for rib identification.
Intervertebral Foramen
The opening between adjacent vertebrae through which spinal nerves exit the spinal column.
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