Afish processing company in charlotteville processes three types of products: type a, type b and type c. its operations involve three basic activities: cleaning, cutting and packaging. type a products require 4 minutes of cleaning 2 minutes of cutting and 2 minutes of packaging time. type b products require 6 minutes of cleaning 4 minutes of cutting and 2 minutes of packaging time. type c products require 8 minutes of cleaning 2 minutes of cutting and 4 minutes of packaging time. given that the total time available for cleaning, cutting and packaging is 3.5hours, 2.5 hours and 1.5 hours respectively.

a. clearly defining your variables, show the model which represents the information given in this problem. state any restrictions on the variables in the problem.