In a cheese production plant, two types of pasteurization machines. The use of machines costs 7$ and 8$ per ton, and are capacitated by 300 tonnes each. First machine turns one ton of raw milk to 45% grade 1, 55% grade 2 processed milk. The same ratios for the second machine are 35% and 65%. Each ton of grade 1 processed milk can be used for producing either 0.4 ton of cheddar or 0.5 ton of white cheese. Each ton of grade 2 milk can be used for 0.7 ton of white cheese or 0.7 ton of curd cheese. The distances to cheddar, white cheese and curd cheese production cells from the first pasteurization machine are 150 , 400 and 500 meters; and from the second pasteurization machine are 150, 100, and 250 meters respectively. Each hundred meter of distance generates a 1$ of carriage cost of milk per ton. Prices of cheddar, white cheese and curd cheese are 20,15 and 7 dollars respectively. Decision variables: P1: tons of milk pasteurizated in plant 1 P2: tons of milk pasteurizated in plant 2 C11 : tons of 1. grade milk used to produce cheddar C1,2 : tons of 1. grade milk used to produce white cheese C1,3 : tons of 1. grade milk used to produce curd cheese C2,1 : tons of 2. grade milk used to produce cheddar C2,2 : tons of 2 . grade milk used to produce white cheese C2,3 : tons of 2. grade milk used to produce curd cheese If you formulate the linear programming model that satisfies the requirements and minimize costs using the decision variables above, in which option is the objective function given correctly? Correct: 4 pts Incorrect: -6 pts a. (0C1,1+0C1,2+1C2,2+1C2,3)+((150C1,1+400C1,2+500C1,3+150C2,1+100C2,2+250C2,3))+(7P1+8P2) b. (0C1,1+0C1,2+1C2,2+1C2,3)((2C1,1+4C1,2+5C1,3+2C2,1+1C2,2+2C2,3))(7P1+8P2) c. (0C1,1+0C1,2+1C2,2+1C2,3)((150C1,1+400C1,2+500C1,3+150C2,1+100C2,2+250C2,3))(7P1+8P2) d. The decision variables are insufficient e. (0C1,1+0C1,2+0.5C1,3+0.5C2,1+1C2,2+1C2,3)((150C1,1+400C1,2+500C1,3+150C2,1+100C2,2+250C2,3))(7P1+8P2)