Please show us what you have tried and what you have thought about to solve the problem.
The cost, $C, of manufacturing each jacket of a particular type is given by the formula
C = an + b for 0 < n ≤ 300
where a and b are constants and n is the size of the production run of this type of jacket.
For making 100 jackets, the cost is $108 each.
For making 120 jackets, the cost is $100 each.
a) Find the values of a and b.
b) Sketch the graph of C against n for 0 < n ≤ 300.
c) Find the cost of manufacturing each jacket if 200 jackets are made.
d) If the cost of manufacturing each jacket is $48.80, find the size of the production run.
If someone could point me in the right direction it would be much appreciated.
Thanks for your help. From there I was able to finish the question... mostly. The part of the question asking me to sketch the graph has me stumped. I thought I knew what I was doing, but then a wild 28 appeared!
Where does the 28 come from?