Problema Solution
Suppose the price of producing 50 units of a given
commodity is 27000ˏwhile the price of producing 100 units of the same commodity
is 38000 .if the function C(x) is assumed linear ˏ find a rule for C(x) .
Answer provided by our tutors
since C(x) is a linear function we can write
C(x)=ax+b, where a and b are constants
if x is the number of units and C(x) is the price we have
C(50) = 27000
50a + b = 27000
C(100) = 38000
100a + b = 38000
by solving the system of equations
50a + b = 27000
100a + b = 38000
we find
a = 220
b = 16000
click here to see the step by step solution of the system of equations
know we can write for the C(x):
C(x) = 220x + 16000 is the linear function we are looking for.