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TRANSCRIPT
Economic Elements in Healthcare
Determining the Allocation of Resources for Two Programs Using the Health Production Function The purpose of a production function is to analyze inputs (i.e., funding and
resources) and outputs (i.e., improved health) to identify the least costly
combination of inputs to achieve the desired output.
This media piece shows how the health production function can help healthcare
leaders make resource allocation decisions to help achieve economically ef�cient
objectives of healthcare services programs.
In Detroit, there are two state-funded healthcare services programs with the goal
of reducing diabetes prevalence rates in obese individuals with low income living
in impoverished areas within the city. The State of Michigan has funding available
to make two payments one month apart, and would like to choose only one of
these programs in which to invest funding for the program’s expansion. The state
wishes to make the most economically ef�cient decision to improve the health of
the most people in need.
Program 1: “Bariatricity Detroit” is a large program with a strategic objective to
establish additional Bariatric Surgery Centers in selected hospitals for obese
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establish additional Bariatric Surgery Centers in selected hospitals for obese
patients with diabetes to undergo bariatric weight loss surgeries.
Program 2: “Healthy Lifestyles Detroit” is a small program with a strategic
objective to increase education and coaching focused on healthy eating, lifestyle
and behavioral change and increased physical activities for low-income, obese
individuals with diabetes.
The �rst step in using a Health Production Function is to de�ne inputs and
outputs:
Question 1 of 7
What are the desired outputs (or objective) to be achieved for each program? For the state? This question has not yet been answered.
Outputs (or objectives) are the results, or goals, you are trying to achieve. Looking
at the case study, the following are generally what each program and the state of
Michigan are trying to achieve.
Program 1 objective = Establish additional Bariatric Surgery Centers in
selected hospitals to provide weight loss surgery to obese individuals with
diabetes.
Program 2 = Increase education and coaching focused on healthy eating,
lifestyle and behavioral change and increased physical activities for low-
income, obese individuals with diabetes.
State program goals = Reduce diabetes rates in obese individuals with low
income living in impoverished areas within the city. Make the most
economically ef�cient decision to help the most people in need.
Question 2 of 7
What are the possible inputs needed for establishing Bariatric Surgery Centers? This question has not yet been answered.
Inputs are the resources that are needed to operate a given program or service.
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Some example of inputs that would be required to establish and operate the
Bariatric Surgery Center for Program 1 would be:
Funding
Hospital Staf�ng
Licensing of the added facilities
Surgical suite costs
Bariatric surgeon costs
Question 3 of 7
What are the possible inputs needed for establishing Bariatric Surgery Centers? This question has not yet been answered.
Again, inputs are the resources needed to operate a program or service. Some of
the resources needed to increase the capacity of Program 2 are:
Funding
Education materials
Behavioral coaches
The second step in using a Health Production Function is to de�ne the relationship
between the output (goal or objective) to be achieved and the inputs (i.e., funding
and resources) are available to work towards achieving each program’s de�ned
objectives.
9/25/22, 5:01 PM Quiz Transcript
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A1A2 A3 A4
Q1
Q2
Q3 Q4
(A 3 +
$ 30
0, 00
0)
(A 1 +
$ 10
0, 00
0)
(Q1 + 20 individuals helped)
(Q3 + 30 individuals helped)
Healthy Lifestyles Det roit Bariatricity Det roit
Program Expenditu res
H ea
lth O
ut pu
t
This diagram shows that the relationship between a program’s inputs and outputs
is curvilinear. When a program is relatively small, additional inputs devoted to that
program (A1 and A2) are likely to result in relatively large increases in the
program’s output. As additional resources are allocated to that program, the total
output will continue to increase, but at a more gradual rate. If a program is
relatively large, additional inputs devoted to that program (A3 and A4) are likely
9/25/22, 5:01 PM Quiz Transcript
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relatively large, additional inputs devoted to that program (A3 and A4) are likely
to result in small increases in the program’s output (Q3 and Q4). Finally, increases
in output for both programs will become negligible even though the program’s
inputs may continue to increase.
According to the Health Production Function, there is a law of diminishing returns
to consider when making funding allocation decisions. Funding is referred to as a
�xed input, because the state can only provide funding of the same amount two
times.
Question 4 of 7
In the example health production curve, consider A1/Q1 and A2/Q2 to be the Healthy Lifestyle Detroit Program and A3/Q3 and A4/Q4 to be Bariatricity Detroit. For the two programs in Detroit, how does the Health Production Function and the law of diminishing returns work? This question has not yet been answered.
There is no single right answer for this, but below are a number of points to
consider when analyzing the graph, the health production function, and law of
diminishing returns.
If the state allocated funding amounts A1 and A2 to the smaller program 2,
“Healthy Lifestyles Detroit,” this would result in large changes to health outputs
Q1 and Q2, speci�cally, larger decreases in the rates of diabetes in low income,
obese individuals.
If the state allocated funding amounts A3 and A4 to the larger program 1,
“Bariatricity Detroit,” this would result in small changes to health outputs Q3 and
Q4, speci�cally, smaller decreases in the rates of diabetes in obese individuals. Of
note, Bariatricity Detroit is not designed for low-income, obese individuals, but
rather, for individuals with insurance that will provide coverage for weight loss
surgeries.
At this point, the health production function shows that the most economically
ef�cient decision for the state would be to provide funding to the smaller program
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which would have larger health outputs; that is, a larger decrease in diabetes
rates in low-income, obese individuals.
The �nal step in using a Health Production Function is to consider variable inputs
(inputs that change depending on the level of production) and marginal outputs
(the additional outputs produced by adding a unit of input) for each of the
programs.
A1A2 A3 A4
Q1
Q2
Q3 Q4
(A 3 +
$ 30
0, 00
0)
(A 1 +
$ 10
0, 00
0)
(Q1 + 20 individuals helped)
(Q3 + 30 individuals helped)
Healthy Lifestyles Det roit Bariatricity Det roit
Program Expenditu res
H ea
lth O
ut pu
t
Question 5 of 7
Of your previously de�ned inputs, which would be considered variable inputs for each of the two programs and why?
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programs and why? This question has not yet been answered.
Variable Inputs
The two programs that the state can choose to provide funding for are very
different in terms of their approaches and the costs associated with program
expansion. Aside from funding, which is a �xed input, there are variable inputs for
each program. Variable inputs must be considered because they add to the total
inputs needed to achieve desired program objectives.
For Bariatricity Detroit, the larger program, aside from funding which is a �xed
input, the possible inputs that were de�ned - hospital staf�ng, licensing of the
added facilities, surgical suite costs, bariatric surgeon costs – are variable. For
example, costs related to hospital staf�ng of a bariatric surgery center depend on
how many staff are already available in the hospital and how many new staff
need to be hired.
For Healthy Lifestyles Detroit, the smaller program, aside from funding which is a
�xed input, the variable inputs de�ned were educational materials and behavioral
coaches.
Question 6 of 7
When the costs of increasing a program’s size are not equal, the comparison cannot simply be made between the changes in output of the two programs. The relevant criterion for allocating resources to programs having different bene�ts and costs is to select those programs whose marginal bene�t per dollar spent is greatest (Feldstein, 2012).
How might marginal outputs be important in your comparison of Bariatricity Detroit and Healthy Lifestyles Detroit from an economic and
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Healthy Lifestyles Detroit from an economic and output ef�ciency point of view? Consider the health production curve from the previous question to help give some more context to your response. This question has not yet been answered.
Marginal Outputs
For Bariatricity Detroit, assume that an expansion of this program would result in
a decrease in diabetes prevalence by 30 obese individuals. The marginal cost of
achieving that increased bene�t is $300,000.
In comparison, an expansion in Healthy Lifestyles Detroit yields, as a marginal
bene�t, a decrease in diabetes prevalence by 20 low income, obese individuals at
a marginal cost of $100,000.
Dividing the marginal cost by the marginal bene�t (MC/MB) yields a cost of
$10,000 per individual patient the Bariatricity Detroit program and $5,000 per
individual patient in Healthy Lifestyles Detroit.
It is clear from such an analysis that the state should allocate funding to expand
Healthy Lifestyles Detroit.
Conclusion
Question 7 of 7
When making a decision about allocating funding and resources, what are the steps you should be taking and the types of information you should be considering to drive and justify your choices? This question has not yet been answered.
There is no single correct answer to this question however one process for
9/25/22, 5:01 PM Quiz Transcript
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There is no single correct answer to this question, however, one process for
making these types of economic and programmatic decisions could be outlined as
follows:
First, de�ne and consider important aspects of the outputs and the inputs. These
might include:
speci�c population group whose health is to be affected
goals of stakeholders
objectives of programs
desired outcomes and/or results
costs associated with each program
variable and �xed inputs needed to expand each program
Next, de�ne the relationship between inputs and outputs for each program. Keep
in mind that:
the relationship is curvilinear
there is a law of diminishing returns
the smaller program will have larger outputs initially
the larger program will have smaller outputs initially
Third, marginal effect on health of each of the programs should be empirically
estimated.
And last, to use the decision rule that resources should be allocated to those
programs whose marginal bene�t per dollar spent is greatest.
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