a. Collings College has annual fixed operating costs of $12,000,000 and variable operating costs of $1,000 per student. Tuition is $8,000 per student for the coming academic year, with a projected enrollment of 1,500 students. Expected revenues from endowments and federal and state grants total $200,000. Determine the amount the college must obtain from other sources.
(d.) A civic organization is engaged in a fund-raising program. On Civic Sunday, it will sell newspapers at $1.40 each. The organization will pay $0.75 for each newspaper. Costs of the necessary permits, signs, and so forth are $500. Determine the amount the organization will raise if it sells 5,400 newspapers.
a.
Particular | Amount |
No. of students | 1,500 |
Variables operating cost 1000 per student 1500*1000 | 1,500,000 |
Fixed cost | 12,000,000 |
Total expense (12,000,000 + 1,500,000) | 13,500,000 |
Revenue from Tution 1500 * 8000 | 1,200,000 |
Grant from federal and state | 200,000 |
College must obtain from other sources (13,500,000 - 1,200,000 - 200,000) |
12,100,000 |
d. Selling price of each newspaper = $1.40
Cost of each newspaper = $0.75
Contribution Margin = Selling price - Cost price
= 1.40 - 0.75
= 0.65
For selling 5,400 newspaper = Fund raised in number * Contribution margin - Fixed cost
= 5,400 * 0.65 - 500
= $3,010
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