A firm only uses one input in its production function, labor ( = ) to produce car rides (all the workers provide their own cars, gas, etc.). Each worker who is hired provides four (4) rides per day which are sold at a price of $5 per ride. The firm's total cost (TC) 12 function is = 4 where () is the wage. The first expression in the cost function is non-wage costs related to labor e.g., payroll processing costs, health insurance subsidy etc., the second expression is wage costs, and the F is fixed costs. a. (3 points) Write the firm's profit function as a function of and i.e., total revenue - total costs. b. (5 points) What is the firm's labor demand function as a function of the wage? (Hint: the firm chooses to maximize profit)