The nearest star, Proxima Centauri, is 4.1 × 1015 km away. From the vicinity of this star, Gregor places an order at Tony's Pizza in Hoboken, New Jersey, communicating via light signals. Tony's fastest delivery craft travels at 10⁻⁴c. 

(a) How long does it take for Gregor's order to reach Tony's pizza? 

(b) How long does Gregor wait between sending the signal and receiving the pizza? If Tony's has a 1000-years-or-it's-yours-free delivery policy, does Gregor have to pay for the pizza?