production schedule. production table 10-0 1-0 14-10 2-1 22-0 1-0 10-0 1-0 22-10 2-1 increasing...
TRANSCRIPT
Production Schedule
# ofDoctorsper day
# ofPatientsper day
AverageProduct(Patientsper doctor)
MarginalProduct(Patientsper doctor)
MarginalRevenueProduct($/doctor)
(1) (2) (3) (4) (5)
0 0 - - -
1 10 10 10 5000
2 14 7=(14/2)
4=14-10
2-1 2000(=4x$5000)
Production Table
INPUTS 0 nurses 1 nurses 2 nurses
0 doctors 0 patients 0 patients 0 patients
1 doctors 0 patients 10 patients 22 patients
2 doctors 0 patients 14 patients 30 patients
10-01-0
14-102-1
22-01-0
10-01-0
22-102-1
Increasing Returns to Scale: more than\proportional increase in output relativeTo increase in inputs.200% higher output=(30-10)/10100% higher inputs (2-1)/1
Production Table for a Linear Production Function
INPUTS 0 Nurses 1 Nurses 2 Nurses 3 Nurses
0 Doctors 0 patients 5 patients 10 patients 15 patients
1 Doctors 5 patients 10 patients 15 patients 20 patients
2 Doctors 10 patients 15 patients 20 patients 25 patients
3 Doctors 15 patients 20 patients 25 patients 30 patients
Equation: Patients served = 5*Doctors + 5* Nurses
Production Table for a Linear Production Function
INPUTS 0 Nurses 1 Nurses 2 Nurses 3 Nurses
0 Doctors 0 patients 5 patients 10 patients D 15patients
1 Doctors 5 patients 10 patients C 15patients
20 patients
2 Doctors 10 patients B 15patients
20 patients 25 patients
3 Doctors A 15patients
20 patients 25 patients 30 patients
Equation: Patients served = 5*Doctors + 5* Nurses
Isoquant: how get job done: tell me the ways!
Cost Table ($200 per nurse, $600 per doctor)
INPUTS 0 Nurses 1 Nurses 2 Nurses 3 Nurses
0 Doctors 0 dollars 200 dollars 400 dollars 600 dollars
1 Doctors 600 dollars
800 dollars 1000 dollars
1200 dollars
2 Doctors 1200dollars 1400 dollars
1600 dollars
1800 dollars
3 Doctors 1800 dollars
2000 dollars
2200 dollars
2400 dollars
Equation: Patients served = 5*Doctors + 5* Nurses
Cost Effective Choice (least cost) for isoquant of 15 patients
INPUTS 0 Nurses 1 Nurses 2 Nurses 3 Nurses
0 Doctors 0 patients 5 patients 10 patients 15 patients $600
1 Doctors 5 patients 10 patients 15 patients $1000
20 patients
2 Doctors 10 patients
15 patients $1400
20 patients 25 patients
3 Doctors 15 patients $1800
20 patients 25 patients 30 patients
Equation: Patients served = 5*Doctors + 5* Nurses
Cost Effective Choices for all isoquants
INPUTS 0 Nurses 1 Nurses 2 Nurses 3 Nurses
0 Doctors 0 patients$0
5 patients$200
10 patients$400
15 patients $600
1 Doctors 5 patients 10 patients 15 patients 20 patients$1200
2 Doctors 10 patients
15 patients 20 patients 25 patients$1800
3 Doctors 15 patients
20 patients 25 patients 30 patients$2400
Equation: Patients served = 5*Doctors + 5* Nurses
Cost scheduleOUTPUT Variable Cost Average
Variable CostMarginal Cost
0
5 200 =200/5=40 40
10 400 =400/10=40 =(400-200)=40 10-5
15 600 40 40
20 1200 60 120
25 1800 72 120
30 2400 80 120
Production Table for a Min() Production Function
INPUTS 0 Nurses 1 Nurses 2 Nurses 3 Nurses
0 Doctors 0 patients cost effective
0 patients 0 patients 0 patients
1 Doctors 0 patients 10 patients cost effective
A 10 patients
10 patients
2 Doctors 0 patients 10 patients 20 patients cost effective
20 patients
3 Doctors 0 patients 10 patients 20 patients 30 patients cost effective
Equation: Patients served = 10*Min(Doctors, Nurses)
Production Table for a Multiplicative Function
INPUTS 0 Nurses 1 Nurses 2 Nurses 3 Nurses
0 Doctors 0 patients 0 patients 0 patients 0 patients
1 Doctors 0 patients 5 patients 10 patients 15 patients
2 Doctors 0 patients 10 patients 20 patients 30 patients
3 Doctors 0 patients 15 patients 30 patients 45 patients
Equation: Patients served = 5*Doctors* Nurses
0
2
4
6
8
10
12
14
16
18
0 1 2 Nurses
Patients/Nurse
with 2 doctors
with 1 doctor
10
12
14
16
Marginal Productivity of Nurses
0
5
10
15
20
0 1 2Nurses
with 2 doctors
with 1 doctor
1012
1416
MARGINAL PRODUCT CURVES
010203040
0 1 2
TOTAL PRODUCT CURVES
with 2 doctorswith 1 doctor
Patients/Day
Nurses
14
10
22
30
Patients/nurse
SATELLITE SHORT RUN COSTSVoice Total ATC AVC MCChan- Cost ($/Vch)($/VCh)($/VCh)nels ($/mo.) 0 30,000* ---- ---- ---- 200 50,000 250 100 100 400 70,000 175 100 100 600 90,000 150 100 100 800 130,000 162 125 2001000 250,000 250 220 600*FIXED COST: Cost at ZERO output
SATELLITE SHORT RUN COST
0
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700
0 200 400 600 800 1000 1200
MC
ATC
$/VOICE CHANNEL
VOICE CHANNELS
AVCShut down price
COMPETING TELECOMMUNICATIONTECHNOLOGIES: LONG RUN ATC
Voice Satel- Micro- Copper Fiber Exit Long-chan- lite wave Cable Optic run ATCnels ($/VCh)($/VCh)($/VCh)($/VCh)($/Vch)($/VCh 0 --- ---- ------ ----- 0 0 200 250 290 770 410 0 250 400 175 165 395 210 0 165 600 150 123 270 143 0 123 800 162 102 207 110 0 1021000 250 90 170 90 0 901200 ---- 92 145 77 0 771400 ---- 150 127 67 0 67
TELECOMMUNICATION AVERAGE COST
0
100
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900
0 200 400 600 800 1000 1200 1400 1600
COPPER
FIBEROPTICMICRO-WAVE
SATELLITE
TELECOMMUNICATION AVERAGE COST
0
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900
0 200 400 600 800 1000 1200 1400 1600
Copper
Fiber Optic
Microwave Satellite
LONG RUN AVERAGE COST
SOURCES OF ECONOMIES OF SCALE
* SPECIALIZATION AND DIVISION OF LABOR* INDIVISIBILITIES* DIMENSIONAL RELATIONSHIPS* MARKET SIZE AND NETWORK EXTERNALITIES* MULTIPLANT ECONOMIES* INCREASING RETURNS EXISTS
SOURCES OF DISECONOMIESOF SCALE
* PHYSICAL CONSTRAINTS
* MANAGERIAL CONTROL LOSS
* COSTS OF CENTRALIZATION
* INCREASING RETURNS EXISTS NOWHERE
CHAPTER 10: COPIER PRODUCTIONcopiers Short run Average Costs: Long Runmonth Plant #1 Plant #2 Plant #3 Plant #4 Av. Cost 0 ---- ----- ---- ---- ----- 2500 8800 9500 10000 12000 8800 5000 8000 7400 8000 9500 7400 7500 7500 6900 6700 7800 670010000 7400* 6500* 6100 6300 610012500 7800 6800 5800* 5600 560015000 8200 7300 6000 5300** 530017500 8700 7900 6400 6000 600020000 9400 8600 7600 7000 700022500 10400 9500 9000 8300 830025000 11600 10600 10400 10000 10000
copiers Short run Average Costs: Long Runmonth Plant #1 Plant #2 Plant #3 Plant #4 Av. Cost 0 ---- Minimum of Short Run Average Cost 2500 8800 9500 10000 12000 8800 5000 8000 7400 8000 9500 7400 7500 7500 6900 6700 7800 670010000 7400* 6500* 6100 6300 610012500 7800 6800 5800* 5600 560015000 8200 7300 6000 5300** 530017500 8700 7900 6400 6000 600020000 9400 8600 7600 7000 700022500 10400 9500 9000 8300 830025000 11600 10600 10400 10000 10000
EFFICIENT UTILIZATION (Short Run)
copiers Short run Average Costs: Long Runmonth Plant #1 Plant #2 Plant #3 Plant #4 Av. Cost 0 ---- Minimum of Long Run Average Cost 2500 8800 9500 10000 12000 8800 5000 8000 7400 8000 9500 7400 7500 7500 6900 6700 7800 670010000 7400* 6500* 6100 6300 610012500 7800 6800 5800* 5600 560015000 8200 7300 6000 5300** 530017500 8700 7900 6400 6000 600020000 9400 8600 7600 7000 700022500 10400 9500 9000 8300 830025000 11600 10600 10400 10000 10000
MOST EFFICIENT INVESTMENT(LR)
copiers Short run Average Costs: Long Runmonth Plant #1 Plant #2 Plant #3 Plant #4 Av. Cost 0 ---- Lowest AC at each output level. 2500 8800 9500 10000 12000 8800 5000 8000 7400 8000 9500 7400 7500 7500 6900 6700 7800 670010000 7400* 6500* 6100 6300 610012500 7800 6800 5800* 5600 560015000 8200 7300 6000 5300** 530017500 8700 7900 6400 6000 600020000 9400 8600 7600 7000 700022500 10400 9500 9000 8300 830025000 11600 10600 10400 10000 10000
TECHNICALLY EFFICIENT CHOICES
copiers Short run Average Costs: Long Runmonth Plant #1 Plant #2 Plant #3 Plant #4 Av. Cost 0 ---- Minimum of Long Run Average Cost 2500 8800 9500 10000 12000 8800 5000 8000 7400 8000 9500 7400 7500 7500 6900 6700 7800 670010000 7400* 6500* 6100 6300 610012500 7800 6800 5800* 5600 560015000 8200 7300 6000 5300** 530017500 8700 7900 6400 6000 600020000 9400 8600 7600 7000 700022500 10400 9500 9000 8300 830025000 11600 10600 10400 10000 10000
MOST EFFICIENT INVESTMENT(LR)
0
2
4
6
8
10
12
14
0 10 20 30
Copiers per month
Price ($/copier)4 COPIER PRODUCING PLANTS
LRAC
#4#3#2
#1
0
2
4
6
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14
0 10 20 30
Copiers per month
Price ($/copier)
#4#3#2
#1
ENVELOPE OF TECHNICALLY EFFICIENT POINTS
TECHNICALEFFICIENCY
LOWEST ACAT EACH OUTPUT
0
2
4
6
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10
12
14
0 10 20 30
Copiers per month
Price ($/copier)
#4#3#2
#1CAPACITYUTILIZATION
EFFICIENT
SHORT RUNEFFICIENCY
MINIMUM OF EACH SHORTRUN AVERAGE COST CURVE