Before selecting the correct answer to the problem, the first thing to do is formulate and solve the problem by the Simplex Method. The resolution of the problem is manual and includes: 6 steps of the procedure for the formulation of the mathematical model and the 9 steps of the Simplex Method. Don't forget to work with whole numbers or fractions. Given the problem. One company sells two different mixes of nuts. The cheapest mix contains 80% peanuts and 20% walnuts, while the most expensive contains 50% of each type. Each week the company sources 1,800 kilos of peanuts and 1,200 kilos of walnuts from its supply sources. How many kilos of each mix should he produce in order to maximize profit if the profit is $ 10 for every kilo of the cheapest mix and $ 15 for every kilo of the most expensive mix? If x1 = the Amount of mix of the CHEAP brand in kilograms, x2 = the Amount of mix of the CARA brand in kilograms. Mixture Peanut Walnut Earnings per week CHEAP 80% 20% 10$ per Kilo EXPENSIVE 50% 50% 15$ per Kilo
Before selecting the correct answer to the problem, the first thing to do is formulate and solve the problem by the Simplex Method. The resolution of the problem is manual and includes: 6 steps of the procedure for the formulation of the mathematical model and the 9 steps of the Simplex Method. Don't forget to work with whole numbers or fractions.
Given the problem.
One company sells two different mixes of nuts. The cheapest mix contains 80% peanuts and 20% walnuts, while the most expensive contains 50% of each type. Each week the company sources 1,800 kilos of peanuts and 1,200 kilos of walnuts from its supply sources. How many kilos of each mix should he produce in order to maximize profit if the profit is $ 10 for every kilo of the cheapest mix and $ 15 for every kilo of the most expensive mix? If x1 = the Amount of mix of the CHEAP brand in kilograms, x2 = the Amount of mix of the CARA brand in kilograms.
| Mixture | Peanut | Walnut | Earnings per week |
| CHEAP | 80% | 20% | 10$ per Kilo |
| EXPENSIVE | 50% | 50% | 15$ per Kilo |
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