Enfield Industries purchased and consumed 61,000 gallons of direct material that was used in the production of 13,000 finished units of product. According to engineering specifications, each finished unit had a manufacturing standard of five gallons. If a review of Enfield's accounting records at the end of the period disclosed a material price variance of $6,100U and a material quantity variance of $2,800F, what is the actual price paid for a gallon of direct material? (Do not round intermediate calculations.)

Answer :

Answer:

= $0.8 per unit

Explanation:

The question is to determine the Actual price paid for a gallon of direct material

This is answered in the following steps

Step 1) What is the standard Quantity allowed?

= Finished units of products x the manufacturing standard

= 13,000 units x 5 gallons = 65,000

What is the actual quantity consumed = 61,000 gallons

Meaning the Material Quantity variance =

Standard Quantity allowed - Actual Quantity used = 65,000 - 61,000

= 4000

Step 2) Determine the Standard Price

= The disclosed material QUantity Variance/ The determined material Quantity Variance

= 2800F/ 4,000

= 0.7 per unit

Step 3) Determine Material Price Variance

= Actual Quantity (Standard Price - Actual Price

= $6,100u = 61,000 (0.7 - Actual Quantity)

= $0.8 per unit

TomShelby

Answer:

Explanation:

To solve for the actual std cost we need to work out the price variance:

[tex](standard\:cost-actual\:cost) \times actual \: quantity= DM \: price \: variance[/tex]

But, first we need to solve for standard cost using the quantity variance:

actual quantity of gallon

61,000 gallon used

standard gallon:

13,000 units x 5 gallon each = 65,000

[tex](standard\:quantity-actual\:quantity) \times standard \: cost = DM \: quantity \: variance[/tex]

(65,000 - 61,000) x std cost = 2,800

std cost  =  2,800 / 4,000  =  $ 0.70

Now, we return to price variance formula and solve for actual cost:

[tex](standard\:cost-actual\:cost) \times actual \: quantity= DM \: price \: variance[/tex]

(0.70 - actual cost) x 61,000 = -6,100

0.70 + 6,100 / 61,000 = actual cost

0.80 = actual cost

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