Akennel mixes to brands of dog food. brand x cost $25 per bag, and brand y $20 per bag.
the minimum units of carbohydrate, fat and protein are 12, 36 and 24 units respectively. how many bags
of each brand should be mixed to minimize cost, and what is that cost?

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According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.