80 POINTS The director of a local ballet company needs to print the programs for the next performance. Janet’s Print Shop charges $0.25 per program plus a $35 set-up fee. The Printing Press charges $0.15 per program plus a $50 set-up fee.

a. Which printing company offers the better deal if 200 programs are printed? Explain your reasoning.
b. Find the number of programs for which the total costs are the same. Explain how you determined the number of programs.