Students at Upscale University are required to take at least 4humanities and 4 science courses. The maximum allowable number ofscience courses is 12. Each humanities course carries 4 credits andeach science course 3 credits. The total number of credits inscience and humanities cannot exceed 60. Quality points for eachcourse are assigned in the usual​ way: the number of credit hourstimes 4 for an A​ grade, times 3 for a B​ grade, and times 2 for aC grade. Susan Katz expects to get​ B's in all her science courses.She expects to get​ C's in one dash fourth of her humanities​courses, B's in​ one-fourth of​ them, and​ A's in the rest. Underthese​ assumptions, how many courses of each kind should she takein order to earn the maximum possible number of quality​points?
