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:
Duopolists
Two firms that dominate a particular market, often engaging in strategic interaction that impacts pricing, production, and market share.
Collude
When two or more firms work together to control prices, limit supply, or thwart competition in a way that distorts market outcomes.
Monopoly Price
The price a monopolist sets, which is higher than the competitive price, due to the lack of competition in the market.
Competitive Level
Competitive level refers to the intensity of rivalry among firms in a market, affecting pricing, innovation, and market strategy.
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