Q4. a fish 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. q5. given that weekly demand curve of a local wine producer is p=50−0.1q, and that the total cost function is c(q)=1500+10q, where q bottles are produced each day and sold at a price of $p per unit. a. express the weekly profit as a function of price p. b. at what price must a bottle of wine be sold to realise this maximum profit? c. what is the maximum profit that can be made by the producer? q6. a company is trying to expose as many people as possible to its new brand through social media advertising targeting 4 million possible viewers. a model for the number of people p, in millions, who are aware of the new brand after t days of advertising is estimated to be = 4(1 – −0.037) a. how many persons can they expect to meet in 1 week? b. how many days, to the nearest day, will the advertising campaign be launched that 60% of the possible viewers will be aware of the new brand?