Marie is planting fruits and vegetables in her yard. She is planting all her vegetables in a rectangular garden and all her fruits in four identical circular flower pots. Her garden is 12 inches longer than it is wide. Also, Marie knows that the width of her garden is at most 22 inches greater than the radii of the flower pots.

Marie has all the materials to start her garden except for the fertilizer. She can spend at most $60 on fertilizer. The cost for the vegetable fertilizer Marie uses is $0.25 per square inch of her garden. The cost for the fertilizer she uses for the fruit is $1.50 per inch of the radius of the flower pots.