A Plastic Parts Supplier Produces Two Types of Plastic Parts

question 13

Essay

A plastic parts supplier produces two types of plastic parts used for electronics. Type 1 requires 30 minutes of labor and 45 minutes of machine time. Type 2 requires 60 minutes of machine hours and 75 minutes of labor. There are 600 hours available per week of labor and 800 machine hours available. The demand for custom molds and plastic parts are identical. Type 1 has a profit margin of $25 a unit and Type 2 have a profit margin of $45 a unit. The plastic parts supplier must choose the quantity of Product A and Product B to produce which maximizes profit.
(a) Formulate this as a linear programming problem.
(b) Find the solution that gives the maximum profit using either QM for Windows or Excel.

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Definitions:

Shifted

Refers to the transformation of a graph or equation that results in its movement to a different position on the coordinate plane, without altering its shape.

Coordinates

A set of values that show an exact position. On graphs, it usually refers to a pair of numbers that define a point in two-dimensional space.

Units

Standard quantities used to specify measurements.

Quadrants

The four regions of a Cartesian plane divided by the x-axis and y-axis.