The cost in dollars to manufacture x pairs of shoes is given by 12,000 + 19x. This month, the manufacturer produced 1000 more pairs of shoes than last month. The average cost per pair dropped by $0.43.
a) Write an expression for the average cost per pair of shoes. Use this expression to write an equation to represent there situation.
b) Solve your equation
c) Are there any mathematical restrictions on the domain? Explain.
d) Determine reasonable domain in the context of the problem. Use your answers to parts I and II to answer the question.