Title: Chapter 7: Medical Care Production and Costs Health Economics
1Chapter 7 Medical Care Production and
Costs Health Economics
2Assessing the Productivity of Medical Firms
- Economists often describe production of output
as a function of labor and capital - q f(n,k)
- In the case of health care
- q hospital services
- n nurses
- k medical equipment, hospital building
3Assessing the Productivity of Medical Firms
(cont.)
- Short run k is fixed, while n is variable
4 Graphical Representation
Total product q f(n,k)
n1
n2
MP Dq / Dn
- MP is the slope of the TP curve.
5 Graphical Representation
AP q / n
- AP is the slope of a ray from the origin to the
TP curve.
C
B
TP
A
6Numerical Example
of nurses (n) Amount of k Total output (q) AP of n (q/n) MP of n (?q/?n)
0 10 0 --- ---
1 10 10
2 10 30
3 10 60
7Practice Question
- People living in Boston are hospitalized about
1.5 times as often as those living in New Haven,
However, the health outcomes of patients in these
2 cities appear to be identical. Does this mean
that hospital care has no ability to improve
health?
8Substitutability in Production of Medical Care
- There may be more than one way to produce a given
level of health care. - Licenced practical nurses (LPNs) vs Registered
Nurses (RNs) in hospitals. - LPNs have less training.
- Maybe not as productive, but not as costly.
- Physician assistants vs physicians at ambulatory
clinics. - But physician assistants cant prescribe meds in
most states.
9Substitutability in Production of Medical Care
(cont.)
- Elasticity of substitution
- r D(I1/I2)/I1/I2 D(MP2/MP1)/MP2/MP1
- change in input ratio, divided by change in
ratio of inputs MPs.
10Production Function for Hospital Admissions
- Jensen and Morrisey (1986)
- Sample 3,450 non-teaching hospitals in 1983.
- q hospital admissions
- inputs physicians, nurses, other staff,
hospital beds. - q a0 a1physicians a2nurses . e
- Coefficients in regression are MPs.
11Results
- Each additional physician generated 6.05 more
admits per year. - Nurses by far the most productive
12Results (cont.)
- Each inputs is a substitute for other in
production process. - If wages of nurses rise, can substitute away by
having more hospital beds.
13Medical Care Cost
Accounting Costs
- Explicit costs of doing business.
- e.g. staff payroll, utility bills, medical
supply costs.
- Necessary for
- Comparing performance evaluation across
providers/depts. - Taxes
- Government reimbursement/rate setting
14Medical Care Cost (cost.)
Economic Costs Accounting Costs
- i.e. opportunity costs.
- e.g. opportunity cost of a facility being used
as an outpatient clinic rent it could earn
otherwise.
- Necessary for
- optimal business planning.
- allows one to consider highest returns to assets
anywhere, not just vs. direct competitors, or
w/in health care industry.
15Recall
- Given a production function
- q f (n,k)
- q hospital services
- n labor nurse n
- k capital medical equipment, hospital
- building
16Short-Run Total Cost
17Short-Run Total Cost (cont.)
STC( q ) w n r k
- In the short run, k is fixed.
- ? rk is the same, regardless of the amount of
hospital services (q) produced. - As q rises, increases in STC are only due to
increases in the number of nurses needed (n).
18Short-Run Total Cost (cont.)
- Recall Production function initially exhibits
IRTS - Total costs rise at decreasing rate up to q0
STC
STC
w n
r k
q0
19Marginal and Average Costs
?STC ?q
SMC
?(wn rk)/?q
w(?n/?q) w(1/MPn)
w/MPn
The short run marginal cost of nurses depends on
their marginal productivity.
20Marginal and Average Costs (cont).
STVC q
SAVC
(wn)/q
w(1/APn)
w/APn
The short average variable cost of nurses depends
on their average productivity.
21Graphing Marginal and Average Costs
SMC
Costs
SMC0
SATC
SAVC
SATC0
SAVC0
0
q
q0
22Graphing Marginal and Average Costs
- SATC and SAVC are u-shaped curves.
- Increasing returns to scale followed by
decreasing returns to scale. - SMC passes through the minimum of both SATC and
SAVC. - If marginal cost is greater than average cost,
then the cost of one additional unit of output
must cause the average to rise.
23Relating Product and Cost Curves
MPn APn
Cost
SMC
SAVC
APn
MPn
0
q1
q3
n
q
n1
n3
24Average and Marginal Co (cont.)
- IRTS followed by DRTS in production leads to U
shaped AC curve. - Hospital doesnt necessarily produce at q (min.
cost). - Depends on hospitals objectives.
- Even so, will attempt to stay on the cost curve
(not above it).
25Determinants of Short-run Costs (cont.)
- 5 different measures of q
inputs - ER care nursing labor
- medical/surgical care auxiliary labor
- pediatric care professional labor
- maternity care administrative labor
- other inpatient care general labor
-
materials and supplies
Cowing and Holtmann 1981
26Findings
- Found short run economies of scale
- Hospitals operate to left of min. on AVC curve.
- i.e Larger hospitals producing at lower costs
than smaller hospitals.
- Best way to reduce aggregate hospital costs?
- Reduce of hospital beds by a fixed in all
hospitals. - Close the smallest hospitals in each region.
27Findings (cont.)
- Definition Economies of scope
- Cost of producing 2 outputs lt sum of cost of
production 2 goods separately.
- Found Diseconomies of scope with respect to ER
and other services. - Larger ERs may bring in more complex mix of
patients to the hospital. OR - Larger ERs generate operating challenges for
other services (e.g. communication, staffing
scheduling).
28Cost-minimizing input choice
- Example
- - Health care providers choice of nursing staff
mix. - RNs care for 6 patients per hour hourly wage
20 - LPNs care for 4 patients per hour hourly wage
10 - TC(q0)20RN 10LPN
If a hospital needs to hire nurses to care for
growing patient volume, which should be hired?
29Cost Minimizing Input Choice
- Costs are minimized when
- Suppose that instead
- Then the last dollar spent on an LPN generates
more output than the last dollar spent on a
registered nurse.
MPRN wRN
MPLPN wLPN
MPLPN wLPN
MPRN wRN
lt
30Are physicians costly to hospitals?
- Physicians bill insurers or their patients for
care. - In most cases, physician not paid a wage by a
hospital. - However, physicians generate other hospital
costs. - Review and process physicians application.
- Monitor physicians performance.
- Examining rooms and other supplies.
31Are physicians costly to hospitals? (cont.)
- Can solve for shadow price of doctors, if other
variables known. - wdoc 7,012 per year.
32 Does Higher Quality Higher Costs?
- Reducing costs without sacrificing quality.
- Improved production line.
- bedside access to computerized treatment
guidelines. - computerized patient charts.
- Motivated work force.
- involving nurses in case management
- reimburse physicians based on performance
evaluations
33 Does Higher Quality Higher Costs?
- In an increasingly competitive environment,
hospitals must take a critical look at their
product lines Many institutions must decide
between eliminating or investing in unprofitable
product lines - Juran Report
- e.g. Hospital may have unprofitable, high quality
heart surgery, but kidney surgery may be losing
, lower quality.
34 Business opportunities in costs
- Companies which can synthesize complex data to
improve quality and restrain cost will survive.
- Express Scripts -
- Pharmacy Benefit Manager (PBM)
- Manages prescription claims on behalf of HMOs,
insurance companies, unions, etc. - Obtains drug cost savings through drug
utilization review, generic substitution,
mail-order pharmacy, volume discounts from retail
pharmacy.
35 Business opportunities in costs
- Express Scripts-
- Practice Pattern Science (PPS)
- An information service company.
- Offers practice variation analysis and disease
management support service linking healthcare
data from all points of care. - Complements PBM services
- Be a leader in the development of disease
management, provider profiling and outcomes
assessment technologies.
36 Business opportunities in costs
- Express Scripts-
- Practice Pattern Science (PPS) (cont.)
- Diagnostic ClusterSM Methodology
- links to a global pattern treatment through
its patient treatment episodes (PTETM) - Provider Profiling
- reduce providers practice pattern variation
- Diseases Management Support Service
- Gatekeeper of patient case mix.
- Scorekeeper for patterns of treatment.
- Pharmaceutical Information
- Benchmark prescription drug patterns
- Track the composition of prescription drugs
- Report the mean and median global treatment cost
37 Business opportunities in costs (cont.)
- Practice Pattern Science (PPS) subsidiary.
- Computerized patient profile database.
- Bars claims if potential dangerous interactions
identified. - Identifies people over-utilizing drugs by
visiting multiple doctors.
38Long Run Costs of Production
- In the long run, all inputs are variable.
- k is no longer fixed.
- e.g. A hospital can build a new facility or add
extra floors to increase bedsize in the long run. - If all inputs are variable, what does the long
run average cost curve look like?
39The Long Run Average Cost Curve
Average Cost of Hospital Services
LATC
q0
q1
q2
of patients
40Long Run Costs of Production
- Just like the short run cost curve, the long run
cost curve for a firm is also u-shaped. - However, the short run cost curve is due to IRTS,
then DRTS relative to a fixed input. - e.g. In the short run, the only way to increase
the number of patients treated was to hire more
nurses but the of beds (k) was fixed. - But in the long run, there are no fixed inputs.
41Long Run Costs of Production
- The u-shaped long run average cost curve is due
to economies of scale and diseconomies of scale. - Economies of scale
- Average cost per unit of output falls as the firm
increases output. - Due to specialization of labor and capital.
42Long Run Costs of Production
- Example of specialization and the resulting
economies of scale. - A large hospital can purchase a sophisticated
computer system to manage its inpatient
pharmaceutical needs. - Although the total cost of this system is more
than a small hospital could afford, these costs
can be spread over a larger number of patients. - ?The average cost per patient of dispensing drugs
can be lower for the larger facility.
43Long Run Costs of Production
- Economies of scale arise due to specialization of
labor and/or capital. - That is, the long run relationship between
average costs and output reflects the nature of
the production process. - This is why economies of scale (in costs) are can
also be referred to as increasing returns to
scale (in production).
44Long Run Costs of Production
- Increasing returns to scale
- An increase in all inputs results in a more than
proportionate increase in output. - e.g. If a hospital doubles its number of nurses
and beds, it may be able to triple the number of
patients it cares for. - However, most economists believe that economies
of scale are exhausted, and diseconomies of scale
set in at some point.
45Long Run Costs of Production
- Diseconomies of scale arise when a firm becomes
too large. - e.g. bureaucratic red tape, or breakdown in
communication flows. - At this point, the average cost per unit of
output rises, and the LATC takes on an upward
slope. - Diseconomies of scale (in costs) imply decreasing
returns to scale in production.
46The Long Run Average Cost Curve
Average Cost of Hospital Services
LATC
q0
q1
q2
of patients
Economies of scale
Diseconomies of scale
47Long Run Costs of Production
- Decreasing returns to scale
- An increase in all inputs results in a less than
proportionate increase in output. - e.g. Doubling the number of patients cared for
in a hospital may require 3 times as many beds
and nurses. - In some cases, the production process exhibits
constant returns to scale. - A doubling of inputs results in a doubling of
output.
48The Long Run Average Cost Curve under Constant
Returns to Scale
Average Cost of Hospital Services
of patients
49Long Run Costs of Production
- Like the short run cost curve, a number of
factors can cause the short run cost curve to
shift up or down. - Input prices.
- Quality.
- Patient casemix.
- e.g. If the hourly wage of nurses increases, the
average cost of caring for each patient will also
rise. - ?The average cost curve will shift _____
50Long Run Costs of Production
- Empirical evidence on HMOs and costs.
- See handout.
51Computing Profits
- Recall that the total costs of production for a
firm are - TC(q) wn rk
- Sum of each input price times the of inputs
used. - We can express total revenues derived from
producing and selling a given level of output (q)
as - TR(q) output price x q
52Computing Profits (cont.)
- Thus, we can express profits for the firm as
- ?(q) TR(q) TC(q)
- ? Profits
- TR Total revenue
- TC Total costs
- We assume that firms choose a level of output (q)
to maximize profits.
53Computing Profits (cont.)
- Assume that as output increases, total revenue
rises at a diminishing rate. - Also, recall the shape of short run total cost
curve derived previously. - Then we can graph the total revenue curve and the
total cost curve, and use them to visualize
profits. - Profits will be the vertical distance between
total revenues and total costs at any given
quantity of output.
54Graphing Profits
Total dollars
TC
TR
TR0
??
TC0
Quantity of output (q)
q0
?(q0) TR0 TC0
55Graphing Profits
Total dollars
TC
TR
Quantity of output (q)
At what output level(s) does the firm make
profits equal to 0? At what output levels could
the firm make negative profits ?
56Graphing Profits
Total dollars
TC
TR
TR0
??
TC0
q0
Quantity of output (q)
Notice that I have plotted q0 where the TR curve
is above the TC curve, and the 2 curves are the
furthest apart (in vertical distance).
57Computing Profits (cont.)
- I have plotted q0 at the point where the firm
maximizes profits. - At this point the difference between total
revenues and total costs is the greatest, and
TRgtTC. - Note that this is also the point where the slopes
of the TR curve and the TC curve are equal.
58Computing Profits (cont.)
- Recall that the slope of the total cost curve
represents marginal costs. - MC ?TC/??q
- The slope of the total revenue curve represents
marginal revenue. - MR ?TR/??q
- ?A firm maximizes profits where
- MRMC
59Computing Profits (cont.)
- A firm maximizes profits where MRMC. Why?
- Suppose the firm was instead producing at a point
where MRgtMC. - Then additional units of output would generate
more marginal revenues than marginal costs, and
profits could be higher. - Suppose the firm was instead producing at a point
where MCgtMR. - Then the last unit of output generates economic
losses.
60Graphing Profits
Total dollars
TC
?MCgtMR
TR
MRgtMC
?
q1
q2
Quantity of output (q)
At q1, the firm should raise output to increase
profits. At q2, the firm should lower output to
increase profits.