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:
Social Referencing
The process by which individuals look to others in their environment to obtain cues on how to react or behave in certain situations.
Emotional State
The current condition of one's emotions, which can influence thoughts, behaviors, and physical responses.
Facial Communication
The use of facial expressions and movements to convey emotions, intentions, or social information.
Social Display Rules
Culturally specific guidelines that dictate how emotions should be expressed in various social settings.
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