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Case Study 2 Case Study: Bookstore - Book Production Optimization A bookstore publishes two types of books: Novels and Textbooks. Each Novel requires 4 hours

Case Study 2
Case Study: Bookstore - Book Production Optimization
A bookstore publishes two types of books: Novels and Textbooks. Each Novel requires 4 hours of writing and 2
hours of editing, while each Textbook needs 3 hours of writing and 4 hours of editing. In the current schedule,
there are 40 hours available for writing and 30 hours available for editing. Each Novel sold yields a profit of
$60, and each Textbook sold brings a profit of $80
Question:
Determine the optimal quantities of Novels (x) and Textbooks (y) to produce in order to maximize total profit,
considering the constraints on available hours for writing and editing in the bookstore's schedule.
Instructions:
Create the table
Complete algebraically
a) Define the decision variables.
b) Formulate the objective function.
c) Set up the constraints.
Using Excel for QM, solve the following linear programming problem for bookstore
Solve Graphically - Use Solver
a) Use the Corner-Point method -highlighting the corner points on the graph
i) Solve equation 1 and plot points for x and y on the graph
ii) Solve equation 2 and plot points for x and y on the graph
iii) Determine the corner points on your graph - highlight the feasible region
b) Determine the maximum profit
i) Solve both equation 1 and 2 for the unknown corner points for x and y
ii) Substitute all values from the corner points of x and y from the graph into the equation for
Maximum Profit and determine which combination of x and y will result in the Maximum
Profit
What would be your recommendations for bookstore?
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