Question

John Fleming, chief administrator for Valley View Hospital, is concerned about the costs for tests in the hospital’s lab. Charges for lab tests are consistently higher at Valley View than at other hospitals and have resulted in many complaints. Also, because of strict regulations on amounts reimbursed for lab tests, payments received from insurance companies and governmental units have not been high enough to cover lab costs.

Mr. Fleming has asked you to evaluate costs in the hospital’s lab for the past month. The following information is available:

Two types of tests are performed in the lab—blood tests and smears. During the past month, 1,500 blood tests and 4,400 smears were performed in the lab.

Small glass plates are used in both types of tests. During the past month, the hospital purchased 22,000 plates at a cost of $52,800. 3,400 of these plates were unused at the end of the month; no plates were on hand at the beginning of the month.

During the past month, 3,400 hours of labor time were recorded in the lab at a cost of $39,100.

The lab’s variable overhead cost last month totaled $30,600.

Valley View Hospital has never used standard costs. By searching industry literature, however, you have determined the following nationwide averages for hospital labs:

Plates: Three plates are required per lab test. These plates cost $2.50 each and are disposed of after the test is completed.

Labor: Each blood test should require 0.8 hours to complete, and each smear should require 0.40 hours to complete. The average cost of this lab time is $12.60 per hour.

Overhead: Overhead cost is based on direct labor-hours. The average rate for variable overhead is $8.50 per hour.

Required:

1. Compute a materials price variance for the plates purchased last month and a materials quantity variance for the plates used last month.

2. For labor cost in the lab:

a. Compute a labor rate variance and a labor efficiency variance.

b. In most hospitals, one-half of the workers in the lab are senior technicians and one-half are assistants. In an effort to reduce costs, Valley View Hospital employs only one-fourth senior technicians and three-fourths assistants. Would you recommend that this policy be continued?

3-a. Compute the variable overhead rate and efficiency variances.

3-b. Is there any relation between the variable overhead efficiency variance and the labor efficiency variance?

Answer 1

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Standard Material Price		$           2.50		Standard Hour Rate		$12.60		Standard Hour Rate		$ 8.50
Standard Quantity	(1500+4400)*3	17700		Standard Hour	(1500*0.8)+(4400*0.4)	2960		Standard Hour	(1500*0.8)+(4400*0.4)	2960
Actual Quantity		22000		Actual Hours		3400		Actual Hours		3400
Actual Quantity used	22000-3400	18600
Actual Matrial Price	52800/22000	$           2.40		Actual Hour Rate	39100/3400	$11.50		Actual Hour Rate	30600/3400	$ 9.00
Material Price Variance	AQ(AP-SP)			Labor Rate Variance	AH(AR-SR)			Overhead Rate Variance	AH(AR-SR)
	22000*(2.4-2.5)				3400*(11.5-12.6)				3400*(9-8.5)
	2200 Favorable				3740 Favorable				1700 Unfavorable
Material Quantity Variance	SP(AQ-SQ)			Labor Efficiency Variance	SR(AH-SH)			Overhead Efficiency Variance	SR(AH-SH)
	2.5*(18600-17700)				12.6*(3400-2960)				9*(3400-2960)
	2250 Unfavorable				5544 Unfavorable				3960 Unfavorbale
Part 2b:
Policy should not be continued since as lowring senior technicians impacting efficiency resulting more standard hours.
And unfavorable Rate variances.
Part 3b:
Since Variable Overhead Efficiency variance also using same Higher Labor Hours, it has direct impact on efficiency variance