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smiling cow dairy can sell all the milk it wants for $4 agallon, and it can rent

ID: 1234084 • Letter: S

Question

smiling cow dairy can sell all the milk it wants for $4 agallon, and it can rent all the robots it wants to milk the cows ata capital rental price of $100 a day . it faces the followingproduction scedule : Number ofRobots              Total Product 0                                                0 gallons 1                                                     50 2                                                    85 3                                                     115 4                                                    140 5                                                     150 6                                                     155
how many robots should the firm rent ? explain smiling cow dairy can sell all the milk it wants for $4 agallon, and it can rent all the robots it wants to milk the cows ata capital rental price of $100 a day . it faces the followingproduction scedule : Number ofRobots              Total Product 0                                                0 gallons 1                                                     50 2                                                    85 3                                                     115 4                                                    140 5                                                     150 6                                                     155

Explanation / Answer

From my previous post on calculating marginal product and marginalrevenue product: R     y       MPR      P*MPR 0     0       N/A        N/A 1      50     50          $200 2      85     35          $140 3      115   30          $120 4      140   25          $100 5      150   10          $40 6      155   5           $20 The firm should hire robots at the point whereP*MPR=wR, where wR is the factorprice for each robot. Since each wR=$100, thequantity of robots that yield a P*MPR of $100 is4. Thus, the firm should hire 4 robots.