# More Finite Math assistance pls and ty...

• Jan 25th 2009, 02:23 PM
johnewton
More Finite Math assistance pls and ty...
This one is really racking my brain..

The cost of manufacturing x home theatre systems per week is given by
C(x)=415x + 5200

A) Determine the fixed cost and the unit (cost per item) cost.

I think fixed cost is 5200. How do I find cost per item?

B) Determine the cost of producing 700 systems per week.

C) Determine how many systems were produced of the production cost for one week was \$230,130.
• Jan 25th 2009, 02:27 PM
skeeter
Quote:

Originally Posted by johnewton
This one is really racking my brain..

The cost of manufacturing x home theatre systems per week is given by
C(x)=415x + 5200

A) Determine the fixed cost and the unit (cost per item) cost.

I think fixed cost is 5200. How do I find cost per item?

that would be the 415

B) Determine the cost of producing 700 systems per week.

415(700) + 5200

Determine how many systems were produced of the production cost for one week was \$230,130.

415x + 5200 = 230130
solve for x

ok?
• Jan 25th 2009, 02:28 PM
metlx
Quote:

Originally Posted by johnewton
This one is really racking my brain..

The cost of manufacturing x home theatre systems per week is given by
C(x)=415x + 5200

A) Determine the fixed cost and the unit (cost per item) cost.

I think fixed cost is 5200. How do I find cost per item?

B) Determine the cost of producing 700 systems per week.

C) Determine how many systems were produced of the production cost for one week was \$230,130.

Cost per item
x = number of items
C(1) = 415*1 + 5200 = 5615

B) C(700) = 415 * 700 + 5200 = 295700

C)

C(x) =415x + 5200
415x + 5200 = 230130
415x = 224930
x = 224930/415
x = 542