Tres productos son fabricados en una máquina. El tiempo de preparación de cada producto es de 2, 3 y 4 minutos respectivamente, y el tiempo de proceso de 3, 2 y 1 minutos. El beneficio aportado por cada producto es respectivamente de 12, 10 y 15 UM. Se dispone de 100 minutos de máquina y 200 para la preparación de la misma. Determine el número óptimo de unidades a fabricante de cada artículo. Realizarlo en Cuaderno Jupyter (.ipynb) con el código, las tablas del método simplex y los gráficos de la solución óptima. Construir las tablas del método simplex paso a paso, mostrando el proceso de iteración hasta alcanzar la solución óptima. Indique claramente las variables básicas, no básicas, coeficientes y valores en cada iteración.

Pricing Decisions at Madison The Madison Company manufactures and retails a certain product. The company wants to determine the price that maximizes its profit from this product. The unit cost of producing and marketing the product is 50. Madison will certainly charge at least 50 for the product to ensure that it makes some profit. However, there is a very competitive market for this product, so that Madisons demand falls sharply when it increases its price. How should the company proceed?2 In the pricing model in Example 7.1 with the constant elasticity demand function, the assumption is that all units demanded are sold. Suppose the company has the capacity to produce only 200 units. If demand is less than capacity, all of demand is sold. If demand is greater than or equal to capacity, only 200 units are sold. Use Solver to find the optimal price and the corresponding profit. Then use SolverTable to see how sensitive these answers are to the production capacity, letting it vary from 170 to 230 in increments of 10. Discuss your findings relative to the original solution in Example 7.1. In other words, what is the effect of capacity on the optimal price and profit?

Describe the financial and management assistance programs offered by the SBA.