Not$-$for$-$Pro$$t Applications

Determine the solution to each of the following independent cases:

a$.$

Collings College has annual $$xed operating costs of $$20,000,000$ and variable operating costs

of $$2,400$ per student. Tuition is $$12,000$ per student for the coming academic year, with a

projected enrollment of $2,000$ students. Expected revenues from endowments and federal and

state grants total $$400,000.$ Determine the amount the college must obtain from other sources.

b$.$

The Collings College Student Association is planning a fall concert. Expected costs $($renting

a hall, hiring a band, etc.$)$ are $$15,000.$ Assuming $2,000$ people attend the concert, determine the break$-$even price per ticket. How much will the association lose if this price is charged and

only $1,500$ tickets are sold?

c$.$

City Hospital has a contract with the city to provide indigent health care on an outpatient basis

for $$125$ per visit. The patient will pay $$10$ of this amount, with the city paying the balance

$($$$115).$ Determine the amount the city will pay if the hospital has $5,000$ patient visits.

d$.$

A civic organization is engaged in a fund$-$raising program. On Civic Sunday, it will sell news$-$

papers at $$2\mathrm{.}50$ each. The organization will pay $$1\mathrm{.}75$ for each newspaper. Costs of the neces$-$

sary permits, signs, and so forth are $$750.$ Determine the amount the organization will raise if

it sells $3,000$ newspapers.

e$.$

Christmas for the Needy is a civic organization that provides Christmas presents to disadvan$-$

taged children. The annual costs of this activity are $$10,000,$ plus $$20$ per present. Determine

the number of presents the organization can provide with $$30,000.$