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:
CATHOLIC
Universal in extent; embracing everything or all important points.
Adolescent Developmental
Refers to the physical, cognitive, and emotional changes that occur during the period from puberty to adulthood.
Siblings
Individuals who share one or both parents in common, typically referred to as brothers or sisters.
Peers
Refers to individuals who are of similar age, status, or interest, often playing significant roles in socialization and influence during development.
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