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Write down the objective function and the constraints for the given linear programming problem.

A local herb shop is producing two natural perfumes: Gentle Roseand Rich Gardenia. The owner, who has equipment that can make up to 3000 ounces of perfume, cannot afford to spend more than $9000. The Gentle Rose is 2 ounces large and costs $3 to make. The Rich Gardenia is 1.5 ounces big and costs $6 to make. Each bottle of Gentle Rose sold results in a $4 profit and each bottle of Rich Gardenia produces a $5 profit. The owner wnats to know the number of bottles of each perfume should be made for maximum profit.

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