$4.$ Hilltop Coffee manufactures a coffee product by blending three types of coffee beans. The cost per pound and the available pounds of each bean are as follows:Consumer tests with coffee products were used to provide ratings on a scale of $0-100,$ with higher ratings indicating higher quality. Product quality standards for the blended coffee require a consumer rating for aroma to be at least $75$ and a consumer rating for taste to be at least $80.$ The individual ratings of the aroma and taste for coffee made from $100\%$ of each bean are as follows:Bean$23$Aroma Rating$758560$Taste Rating$868875$Assume that the aroma and taste attributes of the coffee blend will be a weighted