Santa Monica College Maximizing Overall Average Test Score Questions Suppose that a city operates two neighborhood schools, one in the rich neighborhood a

Santa Monica College Maximizing Overall Average Test Score Questions Suppose that a city operates two neighborhood schools, one in the rich

neighborhood and one in the poor neighborhood. The schools are equal

in size and currently have equal budgets. The city receives $10 million

in federal grant money that can be used to supplement the budgets of

the two schools, which are initially identical. For each school, the

average score on a standardized achievement test depends on how

many dollars are allocated to the school. Letting S denote the average

test score and X denote additional spending in millions of dollars, the

relationships between scores and additional spending for the two

schools are as follows:

S poor = 40 + X poor ,

S rich = 45 + 3 X rich .