Question

Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Each section of Finite Math has 40 students and earns the college $40,000 in revenue. Each section of Applied Calculus has 40 students and earns the college $60,000, while each section of Computer Methods has 10 students and earns the college $22,000. Assuming the college wishes to offer a total of seven sections, to accommodate 220 students, and to bring in $284,000 in revenues, how many sections of each course should it offer? HINT [See Example 2.]

Finite Math	section(s)
Applied Calculus	section(s)
Computer Methods	section(s)

Answer 1

Let M be the number of classes in Math and C be the number of classes in Calculus

so, number of classes in computer methods = 7-M-C

total students =220

so, 40M+40C+10(7-M-C)=220--------------1)

also, total revenue=284000

so,40000M+60000C+22000(7-M-C)=284000

it reduces to

40M+60M+22(7-M-C)=284..................2)

solving equation 1,2,we get

C=2

so, M=3

Computer Methods =7-2-3=2

Finite Math	2section(s)
Applied Calculus	3section(s)
Computer Methods	2section(s)