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Productivity and Management, Assignments of Productivity and Time Management

AAFT University of Media and ArtsProductivity and Time Management

prProductivity and management prpoble,s solutuono

Typology: Assignments

2019/2020

Uploaded on 10/21/2020

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A company that makes shopping carts for supermarkets recently purchased some new
equipment that reduced the labor content of the jobs needed to produce shopping
carts.
The information regarding the old system (before adding the new equipment) and after
adding the new equipment are given below.
Current System New Equipment Added
Output/hr 80 84
Workers 5 4
Wage/hr $10 $10
Machine/hr $40 $50
a) Compute labor productivity for both the Old System and the New System
b) Compute AFP productivity for both the Old System and the New System
c) Suppose production with old equipment was 30 units of cart A at price of $100 per
cart, and 50 units of cart B at price of $120. Also suppose that production with new
equipment is 50 units of cart A, at price of $100 per cart, and 30 units of cart B at
price of $120. Compare all factor productivity for old and new systems.
Assignment 1: Problem 1
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A company that makes shopping carts for supermarkets recently purchased some new equipment that reduced the labor content of the jobs needed to produce shopping carts. The information regarding the old system (before adding the new equipment) and after adding the new equipment are given below. Current System New Equipment Added Output/hr 80 84 Workers 5 4 Wage/hr $10 $ Machine/hr $40 $ a) Compute labor productivity for both the Old System and the New System b) Compute AFP productivity for both the Old System and the New System c) Suppose production with old equipment was 30 units of cart A at price of $100 per cart, and 50 units of cart B at price of $120. Also suppose that production with new equipment is 50 units of cart A, at price of $100 per cart, and 30 units of cart B at price of $120. Compare all factor productivity for old and new systems.

Assignment 1: Problem 1

Current Situation New Machine Added

Output/hr 80 84

Workers 5 4

Wage/hr $10 $

Machine/hr $40 $

(a) Compute labor productivity

Old System : 80/5 = 16 units/worker

New System : 84/4 = 21units/worker

(b) Compute all factor productivity

Old System : 80 / (5×10 + 40) = 0 .89 units/$

New System : 84 / (4×10 + 50) = 0.93 units/$

Assignment 1: Problem 1

A company has introduced a process improvement that reduces processing

time for each unit so that output is increased by 25% with less material

but one additional worker required.

Under the old process, five workers could produce 60 units per hour.

Labor costs are $12/hour, and material input was $16/unit.

For the new process, material is now $10/unit. Overhead is charged at 1.

times direct labor cost.

Finished units sell for $31 each.

a) Compute single factor productivity of labor in the old system.

(Compute it in four possible ways.)

b) Compute all factor productivity for both old and new systems.

Factor Old System New System

Output 60 60(1.25) = 75

of workers 5 6

Worker cost $12/hr $12/hr Material $16/unit $10/unit Overhead 1.6(labor cost) 1.6(labor cost) Price 31 31

Assignment 1: Problem 2

Problem 2; An additional computation

Factor Old System New System Output 60 75

of workers 5 6

Worker cost $12/hr $12/hr Material $16/unit $10/unit Overhead 1.6(labor cost) 1.6(labor cost) Price 31 31

a) Compute labor productivity for the old system

Labor Productivity = 60/5 = 12 units per worker

Labor Productivity = [(60)(31)]/5 = 372 $ per worker

Labor Productivity = 60/[(5)(12)] = 1 unit per dollar

Labor Productivity = [(60)(31)]/[(5)(12)] = 31

Problem 2; AFP

Factor Old System New System Output 60 75

of workers 5 6

Worker cost $12/hr $12/hr Material $16/unit $10/unit Overhead 1.6(labor cost) 1.6(labor cost) Price 31 31

Old System

Denominator of all factor productivity is computed as

The numerator is (60)(31) = 1860

All factor productivity for old system = 1860/1116 = 1.

New System

[(75)(31)]/ [(6)(12) + (10)(75) + (1.6) (6)(12)] = 2.

1.67 in the old system, 2.48 in the new system

8

Assignment 1.

  1. A milk factory seeks advice from an external consulting company concerning its business and production processes. The final consulting report describes several steps to increase productivity including implementation of cutting-edge processing techniques through more powerful filtering systems. a) Calculate the labor productivity for the existing as well as the proposed system. b) Find the All-Factor Productivity for both systems. c) Assume that current processing includes 700 gallons of Grade-A milk sold at $2.40/gallon and 300 gallons of Grade-B milk at $1.90/gallon. Furthermore, assume that under the proposed system, processing will include 600 gallons of Grade-A milk at $2.40/gallon and 400 gallons of Grade-B milk at $1.90/gallon. Compare all-factor productivity for both the existing and the new system. Existing System Proposed System Workers 12 9 Milk Output/hour 1,000 gallons 1,400 gallons Wage Rate/hour $12 $ Filtration Cost/hour $120 $

Assignment 1.

b)

All factor productivity for the existing system

AFP = 1000/[(12)(12)+120] = 3.79 gallons per dollar

All factor productivity for the proposed system

AFP = 1400/[(9)(12)+170] = 5.04 gallons per dollar

Assignment 1.

c. Existing system

700 gallons A @ $2.40/gallon = 1,

300 gallons B @ $1.90/gallon = 570

12 labor @$12, $120 filtration

AFP (existing) = [1680+570/[(12*12)+120]

AFP (existing) = 2250/264= 8.

c. Proposed system

600 gallons A @ $2.40/gallon = 1440

400 gallons B @ $1.90/gallon = 760

9 labor @$12, $170 filtration

AFP (proposed) = [1440+760]/[(9*12)+170]

AFP (proposed) = 2200/278=7.