The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $5400 to produce 300 chairs in one day. (a) Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x chairs in one day. ) = (b) Draw a graph of C. c c 10000 10000 9000 9000 8000 8000 7000 7000 6000 6000 5000 5000 4000 4000 3000 3000 2000 2000 1000 1000 x x o 100 200 300 400 500 600 o 100 200 300 400 500 600 c c 10000 10000 9000 9000 8000 8000 7000 7000 6000 6000 5000 5000 4000 4000 3000 3000 2000 2000 1000 1000 x x o 100 200 300 400 500 600 o 100 200 300 400 500 600 What is the slope of this line? (c) At what rate does the factory's cost increase for every additional chair produced? $ per chair