Melanie Karina manages the Big Easy Casino in New Orleans. She would like to adjust the assortment of
gaming machines in the casino to ensure they are operating in the most profitable manner. The
following table summarizes the current assortment of gaming machines in the casino. Melanie is willing
to increase or decrease the number of each type of gaming machine by as much as 10% (rounded to the
closest integer). However, due to space limitations the total number of gaming machines must remain
the same.
Machine Type Current Units Avg Daily Profit per Unit
$0.01 Reel Slots 243 $123
$0.05 Reel Slots 9 $46
$0.25 Reel Slots 45 $82
$0.50 Reel Slots 16 $76
$1.00 Reel Slots 40 $89
$5.00 Reel Slots 12 $205
$0.01 Video Slots 658 $316
$0.05 Video Slots 8 $108
$0.01 Video Poker 8 $207
$0.05 Video Slots 67 $137
$0.25 Video Slots 84 $133
$1.00 Video Slots 6 $115
$0.01 Multi-Game 75 $117
$0.05 Multi-Game 257 $70
$0.25 Multi-Game 232 $90
$1.00 Multi-Game 18 $266
$5.00 Multi-Game 8 $114
$10.00 Multi-Game 6 $776
$0.05 Video Keno 30 $47
a. How much does the casino currently make in profit on average each day?
b. Create an optimization model using Analytic Solver. What is the optimal solution?
c. What is the percentage increase in profit using the optimal solution compared to the current
arrangement of machines.