CNY Coffee Inc. uses three types of coffee beans (Columbia,Java, and Brazil) as mixtures to manufacture its two coffeeproducts (Energy, and Everyday). The cost per pound, theavailability, and rating information of the coffee beans are asfollows.
| Coffe Bean | Cost Per Pound | Caffeine Rating | Taste Ratting | Aroma Rating | Available Pounds |
| Columbia | $2.25 | 68 | 90 | 88 | 695 |
| Java | $1.70 | 78 | 63 | 77 | 880 |
| Brazil | $1.95 | 85 | 80 | 95 | 955 |
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Coffee product tests are used to provide ratings on a scale of0-100, with higher ratings indicating higher product performance.Here are the two coffee products and their product information:
| Coffee Product | Selling Price per Pound | Product Segment | Product Information |
| Energy | $4.95 | High Caffeine | Caffeine level rates at least 75 or higher; Taste level ratesat least 77 or higher; No Aroma level requirement |
| Everyday | $3.15 | Low Price | No requirement on caffeine level; Tastes level rates between 70and 75; Aroma level rates no more than 85. |
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Due to the popular demand of the low-price segment, at least 920pounds of Everyday must be produced.
Set up and list the linear programming model for the aboveproblem. (You do not need to solve the listed model).
