. Problem 2.8* (Goal programming model with no penalties): In a pet shop, rats cost 5 dollars, guppies cost 3 dollars and crickets cost 10 cents. One hundred animals are sold, and the total receipts are 100 dollars. How many rats, guppies and crickets were sold? Formulate this problem as a goal programming. Clearly state the decision variables, deviation variables, objective function, and constraints. Find the number of rats, guppies, and crickets that were sold. (2 points) . Problem 2.8* (Goal programming model with no penalties): In a pet shop, rats cost 5 dollars, guppies cost 3 dollars and crickets cost 10 cents. One hundred animals are sold, and the total receipts are 100 dollars. How many rats, guppies and crickets were sold? Formulate this problem as a goal programming. Clearly state the decision variables, deviation variables, objective function, and constraints. Find the number of rats, guppies, and crickets that were sold. (2 points)