Explore BrainMass

Explore BrainMass

    Linear Programming: Profit Maximization

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    You are a woodworker who makes tables and chairs.
    Each table requires $80 in materials, 4 hrs of labor and earns $70 profit. Each chair requires $80 in materials, 8 hrs of labor, and earns $120 profit. This week you have $960 cash for materials, and 64hrs of labor available. What should you plan to build to maximize your profit?

    © BrainMass Inc. brainmass.com December 15, 2022, 3:58 pm ad1c9bdddf

    Solution Preview

    Please see the attached file for the complete solution.
    Thanks for using BrainMass.

    Suppose we need to build tables and chairs.
    From the condition, each table earns $70 profit and each chair earns $120 profit. So we get the object function:
    From the condition, each table requires $80 in material and each chair requires $80 in material and you have $960 in material. So we ...

    Solution Summary

    The maximm profit is calculated using linear programming.