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Linear programming problem

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Solve the following linear programming problem graphically. What is the optimal solution and what is the maximum possible value for the objective function?

Maximize         12X + 10Y

Subject to:        4X + 3Y ≤ 480

                        2X + 3Y ≤ 360

                        all variables ≥ 0

Also Formulate this as a linear programming problem 20 Points

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.

Reference no: EM131417981

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