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(A) St. Joseph\'s school has 1,200 students, each of whom currently pays $8,000

ID: 1168253 • Letter: #

Question

(A) St. Joseph's school has 1,200 students, each of whom currently pays $8,000 per year to attend. In addition to revenues from tuition, the school receives an appropriation from the church to sustain its activities. The budget for the upcoming year is $15million, and the church appropriation will be $4.8 million

(B) Sensing resistance to the idea of raising tuition from members of St. Joseph's Church, one of the board members suggested that the 960 children of church members could pay $8,000 as usual. Children of nonmembers would pay more

1. Refer to problem (A) and (B). A board member believes that if church members pay $8,000 in tuition, the most St. Joseph's can increase non-member tuition is $1,000 per year. She suggests that another solution might be to cap nonmember tuition at $9,000 and attempt to recruit more nonmember students to make up the shortfall. Under this plan, how many new non-member students will need to be recruited?

Explanation / Answer

Total number of students = 1200

Students of Church Members = 960 collection from students of church members at the rate of $8000 = 960* 800 = $7680000

Students of Non-Members = 240 collection from students of non-members at the rate of $9000 = 240*9000 = $2160000

Total revenue collection through fees = $2160000 + $7680000 = $9840000

Funds from grants = $4800000

Total available fund = $9840000 + $4800000 = 14640000

Total required budget = $1500000

Shortage of fund = $1500000 - $14640000 = 360000

Number of non member students to be recruited = $360000/ $9000 = 40