University magazine agency wants to determine the bestcombination of two possible magazines to print for the month ofMay. Star which the University has published in the pastwith great success is the first choice under consideration.Prime is a new venture and is a promising magazine. Theuniversity envisages that by positioning it near Star, itwill pick up some spillover demand from the regular readers. TheUniversity also hopes that the advertising campaign will bring in anew type of reader from a potentially very lucrative market. Thepublishing department wants to print at most 500 copies ofStar and 300 copies of Prime. The cover price forStar is $3.50, the university is pricing Primefor $4.50 because other magazines doing the same line of businesscommand this type of higher price. The University publishingdepartment has 25 hours of printing time available for theproduction run. It has 27.5 hours for the collation department,where the magazines are actually assembled. Each copy ofStar magazine requires 2.5 minutes to print and 3 minutesto collate. Each Prime requires 1.8 minutes to print and 5minutes to collate. How many of each magazine should the Universityprint to maximize revenue? Show all the corner solutions and thevalue of the objective function.

Shows work please!

Hint: You are required to maximize revenueassuming that Star = X and Prime = Y. create atable, specify the LP, draw graph to show feasible region and solvefor the corner points. Find the profit for each of the solutions.Also convert hours to minutes in the constraints. The problem has 4constraints excluding the non-negative constraints.

a. Formulate a linear programming model for this problem. (15points)

b. Represent this problem on a graph using the attached graphpaper. Show the feasible region. (10 points)

c. Solve this model by using graphical analysis showing theoptimal solution and the rest of the corner points as well as theprofits. (25 points)