Chloe and Kate have started a baby business and want to make their own formula. In order to make a 'happy baby' formula, they need to buy two different types of formula that they will combine to create the 'happy baby" formula (if a secret ingredient is added). The cost per kilogram of each formula and the relative chemical percentages are given as follows: Formula Cost ($) per kg % Vitamin B % Vitamin C X 11 2 12 To ensure success Chloe estimates the percentage of Vitamin C in the final mix should be between 5% and 9% of the total mass. She does not believe the percentage of Vitamin B to be important in the final result. To allow for a number of trials Chloe and Kate want to make as much of their "Happy Formula" as they can. However, they only have $48 as the total budget to buy the two formulas. *It is noted that the mass of the secret ingredient can be ignored when calculating A) How much of each formula should Chloe and Kate buy to maximise the amount of happy formula made in order to meet these constraints. B) Kate thinks that the percentage of Vitamin B is important and should be between 6.5% and 9.5% in addition to Chloe's Vitamin C requirement. How much should you buy given Kate's idea