A large technology company is planning to start a new technical support program.

Question

A large technology company is planning to start a new technical support program. The fixed monthly cost of the program will be $22,000 and it will cost $150 per user. This includes all equipment, 24-hour technical support, and bi-weekly workshops.

a. Write the cost function, C, of running the program for x number of people.

b. Write the average cost function, C, of running the program for x number of people.

c. Find and interpret the following

i. C(100)

ii. C(2000)

d. What is the horizontal asymptote for the graph of the average cost function, C?

Explanation / Answer

a) C(x)= 22000+150*x

b) A(x) = C(x)/x = 22000/x +150

c) C(100) = 22000+15000 = 37000

   C(2000) = 22000+2000*150 = 22000+300000=322000

d) Here horizontal asymptotes is y= 150

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.