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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: (i) Two types of tests are performed in the lab - blood tests and smears. During the past month, 1,800 blood tests and 2,400 smears were performed in the lab. (ii) Small glass plates are used in both types of tests. During the past month, the hospital purchased 12,000 plates at a cost of 28,200 . This cost is net of a 6% quantity discount. 1,500 of these plates were unused at the end of the month; no plates were on hand at the beginning of the month. (iii) During the past month, 1,150 hours of labor time were recorded in the lab at a cost of 13,800 . (iv) The lab's variable overhead cost last month totaled 7,820 . Valley View Hospital has never used standard costs. By searching industry literature, however, you have determined the following nationwide averages for hospital labs: Plates: Two plates are required per lab test. These plates cost 2.50 the following and are disposed of after the test is completed. Labor: Each blood test should require 0.3 hours to complete, and the following smear should require 0.15 hours to complete. The average cost of this lab time is 14 per hour. Overhead: Overhead cost is based on direct labor-hours. The average rate for variable overhead is 6 per hour.
(b) For labor cost in the lab: (i) Compute a labor rate variance and a labor efficiency variance. (ii) 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? Explain.

Respuesta :

Variable OH efficiency Variance is  $ 2916

The variance is a degree of variability. it's far calculated by taking the common squared deviations from the mean. Variance tells you the degree of spread in your records set. The extra spread the information, the larger the variance is with regards to the imply.

In possibility principle and facts, variance is the expectation of the squared deviation of a random variable from its populace imply or pattern imply. Variance is a measure, which means it's miles a measure of the way some distance a hard and fast of numbers are spread out from their common fee.

Variance is the degree how which facts points vary from the mean, whereas well-known deviation is the measure of the distribution of statistical statistics. The basic difference among each is widespread deviation is represented within the identical units because of the mean of records, even as the variance is represented in squared gadgets.

Req 1:                

Std Material Quantity (5300 test at 3): 15900 plates      

Std price per plate:     $ 4.20 per plate      

Actual Quantity purchased:   20,000 plates      

Actual Quantity used (20,000-3,000) 17,000 plates      

Actual Price per plate (79,800/20,000 plates) $3.99 per plate      

               

Material Price Variance = Actual Quantity purchased (Std price -Actual price)  

   20,000 plates (4.20-3.99) = $ 4200 Favorable    

               

Material Efficiency Variance= Std Price(Std Quantity -Actual Quantity)    

   4.20 (15,900 -17,000) = $4620 Unfavorable      

               

Req 2:                

Std Labour hours for actual output (1300 test at 0.80+4000 smear test at 0.40): 2640 hours

Std labor rate per hour: $12.20 per hour          

Actual Labour hours: 3000 hours          

Actual labour rate per hour: (33900/3000 hours) = $ 11.30 per hour    

               

Labour rate variance= Actual Hours (Std rate-Actual rate)      

   3000 hours (12.20-11.30)= $ 2700 Favorable    

               

Labour Efficiency variance = Std rate per hour (Std Hours-Actual Hours )    

   12.20 (2640 - 3000) = $ 4392 Unfavorable      

               

Req 3:                

Std labor hours allowed for actual output: 2640 hours      

Std Variable OH rate per hour: 8.10 per hour        

Actual variable OH incurred: 25,800          

Actual Labour hours: 3000 hours          

               

Variable OH rate variance= Actual labor hour*Std Oh rate per hour   - Actual variable OH

   3000*8.10 - 25,800 = $ 1500 Unfavorable      

Variable OH efficiency Variance= Std rate per hour (Std hours-Actual Hours)    

     8.10 (2640 - 3000) = $ 2916    

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