Carco uses robots to manufacture cars. the following demands for cars must be met (not necessarily on time, but all demands must be met by end of quarter 4): quarter 1— 600; quarter 2—800; quarter 3—500; quarter 4—400. at the beginning of the quarter, carco has two robots. robots can be purchased at the beginning of each quarter, but a maximum of two per quarter can be purchased. each robot can build as many as 200 cars per quarter. it costs $5,000 to purchase a robot. each quarter, a robot incurs $500 in maintenance costs (even if it is