Una tienda al menudeo cuenta con cuatro departamentos:línea blanca, herramientas, accesorios y electrónica. Los costos fijos, todos comunes a los cuatro departamentos son de $4,500,000. El Marlén de contribución, así como el porcentaje en la mezcla de ventas, se muestra a continuación: margen de contribución 25%, 30%, 50%, 22% y participación en ventas totales 20%, 40%, 30%, 10%. Si la tienda desea obtener una utilidad de operación de 50% sobre las ventas: esto será posible? Cuál sería el porcentaje máximo de utilidad de operación sobre ventas que podría obtener?

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)