Prevost Chemicals manuf inputs. All other resource inventories. Information fr Chemical innut (oall

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 42P
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Prevost Chemicals manufactures an industrial solvent at its only processing plant. A liquid chemical and labor are the two primary
inputs. All other resources are included in manufacturing overhead. The plant never has any work-in-process or finished goods
inventories. Information from the previous four periods of production follows:
Chemical input (gallons)
Labor input (hours)
Solvent sales (gallons)
Average price of chemical per gallon
Average wage rate per hour
Average sales price per gallon
Manufacturing overhead (total)
Required A Required B Required C
Required:
a. Compute the partial productivity measures for chemical for the four periods.
b. Compute the partial productivity measures for labor for the four periods.
c. Compute the total factor productivity for the four periods.
Complete this question by entering your answers in the tabs below.
Period
Period 1
125,000
12,500
110,000
Period 1
$ 2.00
28.00
10.26
236,000
Compute the partial productivity measures for chemical for the four periods.
Partial Chemical
Productivity
Period 2
Period 3
Period 4
Period 2
129,280
11, 200
113, 120
$ 2.10
26.00
10.00
245,312
< Required A
Required B
>
Period 3
128,000
15,000
120,000
$ 1.95
31.00
9.80
245,400
Period 4
120,000
10,100
103,020
$ 2.25
34.00
10.60
243,080
Transcribed Image Text:Prevost Chemicals manufactures an industrial solvent at its only processing plant. A liquid chemical and labor are the two primary inputs. All other resources are included in manufacturing overhead. The plant never has any work-in-process or finished goods inventories. Information from the previous four periods of production follows: Chemical input (gallons) Labor input (hours) Solvent sales (gallons) Average price of chemical per gallon Average wage rate per hour Average sales price per gallon Manufacturing overhead (total) Required A Required B Required C Required: a. Compute the partial productivity measures for chemical for the four periods. b. Compute the partial productivity measures for labor for the four periods. c. Compute the total factor productivity for the four periods. Complete this question by entering your answers in the tabs below. Period Period 1 125,000 12,500 110,000 Period 1 $ 2.00 28.00 10.26 236,000 Compute the partial productivity measures for chemical for the four periods. Partial Chemical Productivity Period 2 Period 3 Period 4 Period 2 129,280 11, 200 113, 120 $ 2.10 26.00 10.00 245,312 < Required A Required B > Period 3 128,000 15,000 120,000 $ 1.95 31.00 9.80 245,400 Period 4 120,000 10,100 103,020 $ 2.25 34.00 10.60 243,080
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