A manufacturer sells television stands for $125 per stand. The manufacturing costs consist of a fixed cost of $6750 and a production cost of $50 per stand. 

(a) Write the cost and revenue equations. 

(b) Graph both equations for up to and including 150 stands on the same axes.

(c) Use the graph to estimate the number of stands the manufacturer must sell to break even. 90 stands

(d) Write the profit formula.

(e) Use the profit formula to determine the manufacturer’s profit or loss if 80 units are sold. 

(f ) How many stands must the manufacturer sell in order to make a profit of $3750?

Part of the question involves determining a system of equations that models the situation.