Asked by David
As the number of units manufactured increases from 4000 to 6000 the total cost of production increases form $22000 to $30000. Assuming a linear relationship between the cost and the number of units manufactured, what will be the cost when 4500 units are produced.
Answers
Answered by
Damon
everything in thousands
two points on line
(4,22) and (6,30)
(30-22)/(6-4) = slope
so slope = m = 4
c = 4 n + b
22 = 16 + b
b = 6
so
c = 4 n + 6
if n = 4.5
c = 4(4.5) + 6
c = 18+6
c = 24
so
24,000
two points on line
(4,22) and (6,30)
(30-22)/(6-4) = slope
so slope = m = 4
c = 4 n + b
22 = 16 + b
b = 6
so
c = 4 n + 6
if n = 4.5
c = 4(4.5) + 6
c = 18+6
c = 24
so
24,000
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