The cost,$C, of manufacturing each jacket of a particular type is given by the formula

C = an + bfor0 < n ≤ 300

whereaandbare constants andnis 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 ofaandb.

b) Sketch the graph ofCagainstnfor0 < 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.