An electronics manufacturer is investing in a new line of luxury fitbits. Total annual production cost is estimated to be 1,000,000 when the annual output of is 100 and 1,500,000 when annual output is 1000. The relationship between total costs and output is linear. The price per fitbit will be 560.

(a) Derive an equation for the total annual cost (TC) in terms of the number of fitbits produced (Q).

(b) Derive an equation for total annual revenue (TR) in terms of Q.