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Linear Programming : Finding Constraints and Solving Word Problems

Stan and Ron's hobby is building birdhouses. The number of wren houses cannot exceed 2 times the number of martin houses. They cannot make more than 60 wren houses or more than 70 martin houses. The total production cannot exceed 90. The profit on a wren house is $9.30 and the profit on a martin house is $5.50. Find the maximum profit.

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Hi, here is the solution

Let x and y denote the number of wren houses and martin houses, respectively,

The number of wren houses cannot exceed 2 times the number of martin houses.

So, 2x <= y ( '<=' means ' less than ...

Solution Summary

A linear programming problem is solved.

$2.19