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:
Decision Rule
Rule specifying the values of the statistic that result in the decision to reject or not reject the null hypothesis.
Region of Rejection
The range of values in hypothesis testing that leads to rejection of the null hypothesis, indicating statistical significance.
Alternative Hypothesis
The hypothesis that proposes there is an effect, or there is a difference, contrary to the null hypothesis.
Unshaded Area
In the context of data visualization, it refers to parts of a graph or chart that are not marked by patterns or colors and may represent certain values or categories.
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