# Linear Programming

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I have one last work problem where my solution just doesn't to be correct

Set up the objective function and constraints and then solve for the following:

A company makes a single product on two separate production lines, A and B. The company's labor force is equivalent to 1,000 hours per week, and it has $3,000 outlay weekly for operating costs. It takes 1 hour and 4 hours to produce a single item on lines A and B, respectively. The cost of producing a single item on A is $5 and on B is $4. How many items should be produced on each line to maximize the total output?

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###### Education

- BE, Bangalore University, India
- MS, University of Wisconsin-Madison

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