The probability of a randomly selected employee of a company being male is 60% the probability of the employee being less than 30 years old is 70% if the probability of the employee being less than 30 years old given that the employee is male is 40% what is the probability that the employee is male given that the employee is less than 30 years old?

Your vet has placed your pet on a diet. the diet is to contain at least 12 mg of fat and at least 14 mg of protein per serving. these requirements are to be obtained from two food sources. source a contains 2 mg of fat and 2 mg of protein per serving. source b contains 1 mg of fat and 3 mg of protein per serving. if source a sells for $1.28 per serving and source b sells for $1.12 per serving, how many servings of each type should be purchased to satisfy the requirements at minimal cost?