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In the summer, Jill Pearson hires junior high students for her lawn mowing and garden weeding services. In a given week the total number of lawns mowed and gardens weeded cannot exceed 30. 3 times the number of gardens weeded must be at least 25. If Ms Pearson makes a profit of $3 on each job, how many lawns should she contract to mow and how many gardens should she contract to weed. If the solution is not possible state whether the problem is infeasible, has alternate optimal solutions or is invaluable.
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