Question

A software company is releasing one of their products on a CD. The manufacturer charges a $5,500 setup fee and $1.00 per CD. Approximately how many CDs must be produced so that the total cost per CD is $3.50?
1,222
2,200
1,571
5,500
I know the answer is 2,200, I just dont know how to get it. If you know how to solve the problem please let me know.

Answer 1

Hi there!

Let th' number of CD's be = X

• Setup fee = $ 5,500
• Per CD's charge = $ 1.00
• Desired cost per CD = $ 3.50

Acc'rding to the question :-

Desired cost per CD = Setup fee + Cost per CD

⇒ (3.50 × X) = $ 5, 500 + ($ 1.00 × X)

⇒3.50 X = $ 5, 500 + 1.00 X

Combine like terms :-

⇒ 3.50 X - $ 1.00 X = $ 5, 500

⇒ 2.50 X = $ 5, 500

⇒X = $\dfrac {5, 500}{2.50}$ = 2, 200 CD's

Hence,
The required answer is = X = 2, 200 CD's

~ Hope it helps!

Answer 2

Setup Fee= $5,500Per CD Charge= $1.00Desired Cost Per CD= $3.50
x= number of CDs

Desired Cost Per CD= Cost per CD + Setup Fee
($3.50 * x)= ($1.00 * x) + $5,500multiply inside parentheses
$3.50x= $1.00x + $5,500subtract $1.00x from both sides
$2.50x= $5,500divide both sides by $2.50
x= 2,200 CDs

ANSWER: x= 2,200 CDs
Hope this helps!  :)