Hi-Yield Improved Lime Sulfur Spray states on the product label for summer foilage spraying: Apply 1/2 fl. oz. per gallon of water. Apply at 10 to 15 day intervals in Growing Season for blackspot and red spider mites on roses.
Triple Action would be an alternative for a fungicide, miticide and insecticide.
Unfortunately, Hi-Yield Improved Lime Sulfur Spray has been discontinued. It would be important to know what type of insects you are trying to eliminate to know when treatments should start or to be able to make the right product recommendation. If you are uncertain as to the type of insects you are trying to eliminate, you should contact your Local Cooperative Extension office for information regarding insects in you region.