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Problem 16-64 (Algo) Direct Materials (LO 16-5)Information about direct materials cost follows for Jennings Chemicals: Standard price per gallon $ 56  Actual quantity used 4,430 gallonsStandard quantity allowed for production 4,460 gallonsPrice variance $ 18,163 U Required:What was the actual purchase price per gallon?Note: Round your answer to 2 decimal places.

Question

Problem 16-64 (Algo) Direct Materials (LO 16-5)Information about direct materials cost follows for Jennings Chemicals: Standard price per gallon 56 Actualquantityused4,430gallonsStandardquantityallowedforproduction4,460gallonsPricevariance 56  Actual quantity used 4,430 gallonsStandard quantity allowed for production 4,460 gallonsPrice variance 18,163 U Required:What was the actual purchase price per gallon?Note: Round your answer to 2 decimal places.

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Solution

To solve this problem, we first need to understand that the price variance is calculated as (Actual Price - Standard Price) * Actual Quantity. The price variance is given as unfavorable $18,163, which means the actual price is higher than the standard price.

We can rearrange the formula to solve for the actual price:

Actual Price = (Price Variance / Actual Quantity) + Standard Price

Substituting the given values:

Actual Price = (18,163/4,430gallons)+18,163 / 4,430 gallons) + 56

Now, calculate the price variance per gallon:

Price Variance per Gallon = 18,163/4,430gallons=18,163 / 4,430 gallons = 4.10 (rounded to two decimal places)

Finally, add this to the standard price to find the actual price:

Actual Price = 4.10+4.10 + 56 = $60.10

So, the actual purchase price per gallon was $60.10.

This problem has been solved

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