A cafeteria purchases milk from one of three providers each week, depending on what other items need to be purchased. The probability of shopping at each store and the cost of one gallon of milk are shown in the table belowProbability and Milk Cost by StoreStoreProbabilityMilk Cost per GallonA30%$300B10%$350C60%$275The cafeteria should budget $ on average for one gallon of milk
Q. A cafeteria purchases milk from one of three providers each week, depending on what other items need to be purchased. The probability of shopping at each store and the cost of one gallon of milk are shown in the table belowProbability and Milk Cost by StoreStoreProbabilityMilk Cost per GallonA30%$300B10%$350C60%$275The cafeteria should budget $ on average for one gallon of milk
Calculate Expected Cost Store A: Calculate the expected cost of one gallon of milk from Store A.Reasoning: Multiply the probability of shopping at Store A by the cost of milk at Store A.Calculation: \(0\).\(30\) \times \$(\(300\)) = \$(\(90\))
Calculate Expected Cost Store B: Calculate the expected cost of one gallon of milk from Store B.\(\newline\)Reasoning: Multiply the probability of shopping at Store B by the cost of milk at Store B.\(\newline\)Calculation: 0.10 \times \(\(350\)) = \$(\(35\))
Calculate Expected Cost Store C: Calculate the expected cost of one gallon of milk from Store C.\(\newline\)Reasoning: Multiply the probability of shopping at Store C by the cost of milk at Store C.\(\newline\)Calculation: 0.60 \times \$(\(2\).\(75\)) = \$(\(1\).\(65\))
Calculate Total Average Cost: Add up the expected costs to find the total average cost per gallon.\(\newline\)Reasoning: Sum the expected costs from all stores to find the overall average cost.\(\newline\)Calculation: \(\$90 + \$35 + \$165 = \$290\)
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