SOLUTION: Suppose that the unit of manufacturing an electrical board varies proportionally with the number of components on it and inversely with the number produced. When 100 boards were pr

Question 196789: Suppose that the unit of manufacturing an electrical board varies proportionally with the number of components on it and inversely with the number produced. When 100 boards were produced with 10 componenets, they cost 1.00 each. Suppose we increase the component count to 15 and the number of boards to be produced to 200, what will be the unit cost?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose that the unit of manufacturing an electrical board varies proportionally with the number of components on it and inversely with the number produced.
cost per unit = k[# components/# produced]
----------------------------------------------
Solve for "k":
When 100 boards were produced with 10 componenets, they cost 1.00 each.
1.00 = k[10/100]
1 = k(1/10)
k = 10
Equation for this problem:
cost = 10[# of components/# of units produced]
----------------------------------------------------------
Suppose we increase the component count to 15 and the number of boards to be produced to 200, what will be the unit cost?
unit cost = 10[15/200]
unit cost = 3/4
unit cost = 75 cents
===============================
Cheers,
Stan H.
-------------------

RELATED QUESTIONS
A lot of 50 electrical components numbered 1-50 is drawn at random, one by one, and is... (answered by stanbon)

A lot of 50 electrical components numbered 1 to 50 is drawn at random, one by one, and is (answered by CPhill)

A quality control inspector is always on the lookout for substandard parts and components (answered by Sanakhan6)

A theorem regarding proportional line segments states that if a line is parallel to one... (answered by lwsshak3)

Suppose a shipment of 140 electronic components contains 3 defective components. To... (answered by Edwin McCravy)

* A manufacturing process has 100 customer orders to fill. Each order requires one... (answered by Mech_Engineer)

A manufacturing process has 100 customer orders to fill. Each order requires one... (answered by stanbon)

in an inspection of 4000 electrical components built to a very high specification, 10... (answered by ewatrrr)

A manufacturing company has an old machine which produces 25 components per hour.The... (answered by Boreal)