Problema Solution
The manager of a furniture factory finds that it costs $2800 to manufacture 60 chairs in one day and $4800 to produce 260 chairs in one day.
(a) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear.
Answer provided by our tutors
C = ax + b, where a and b are constants
c = $2800 when x = 60 chairs
2800 = 60a + b
c = $4800 when x = 260 chairs
4800 = 260a + b
by solving the system of equations:
60a + b = 2800
260a + b = 4800
we find
a = 10
b = 2200
click here to see the step by step solution of the system of equations:
C = 10x + 2200 is the function we are looking for.