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:
Control
In experimental design, control refers to an experimental group that does not receive any experimental treatment in order to provide a baseline for measuring changes that might occur in other groups. As a goal of research, control refers to gaining information about human behavior in order to be able to predict and control it.
Experimental Design
A research method involving the manipulation of one or more independent variables to determine their effect on dependent variables, allowing for control of confounding factors to establish causality.
Participants
Individuals who have volunteered to be in a research project, or in Hymes’s theory, the people present in a speech situation and their roles and relationships.
Control Groups
Experimental groups not exposed to any experimental variable.
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