Bowie State University magazine agency wants to determine thebest combination of two possible magazines to print for the monthof May.  Star which the University has publishedin the past with great success is the first choice underconsideration. Prime is a new venture and is a promisingmagazine. The university envisages that by positioning it nearStar, it will pick up some spillover demand from theregular readers. The University also hopes that the advertisingcampaign will bring in a new type of reader from a potentially verylucrative market. The publishing department wants to print at most500 copies of Star and 300 copies of Prime. Thecover price for Star is $3.50, the university is pricingPrime for $4.50 because other magazines doing the sameline of business command this type of higher price. The Universitypublishing department has 25 hours of printing time available forthe production 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 BSU print tomaximize revenue? Show all the corner solutions and the value ofthe objective function.

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.

b. Represent this problem on a graph using the attached graphpaper. Show the feasible region.

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