I want to check if I am going in the right direction with my math could I get feedback or guidance for the next part 4(25+3(2)1/31/2d. Find the cross-partial derivatives: Are they equal?ÕMPH/ON =OMPN/ÕH =e. Suppose that policy makers cannot control nutrition, which is fixed in the shortrun at Ns = 27. In the short run, life expectancy is a function of health spendingonly. Write and simplify the short run production function with N = 27. This is justthe Total Product function for input H:L = L(Ns, H) = TPH =f. Find values of L associated with the levels of H in the table. Graph the TPH curve.H.8.64216512auacdrane dounward6. Cubic Total Product Curveb. Find the 5. Health Expenditure, Nutrition, and Life ExpectancyQ = Q(x, L) = 2k'½ L%> Let:L = life expectancy in yearsN = measure of average nutritionH = per capita expenditures on health care11> The production function for life expectancy is: L = L(N, H)= 2NH½a. Does the production function show constant, increasing, or decreasing returns toscale? Show.Constantb. Find expressions for the marginal products MPn and MPH.Are both marginal products positive?-3 2/3-/313MPH =MPN =AS long as the Marginal Product is greater than the Auerage Produetc. Find the second partial derivatives ÕMPN/õN and ÕMPH/TH.Are both marginal products diminishing?X Jugr2/3OMPH/SH =ÕMPN/ON =aN

Answered: Image /qna-images/answer/c080f81e-ed6b-49ad-97fc-9166b4c54712.jpg

d. Find the cross-partial derivatives: Are they equal? ÕMPN/ÕH = ÕMPH/ON = %3D %3D e. Suppose that policy makers cannot control nutrition, which is fixed in the short run at Ns = 27. In the short run, life expectancy is a function of health spending only. Write and simplify the short run production function with N = 27. This is just the Total Product function for input H: L = L(Ns, H) = TPH = %3D %3D %3D f. Find values of L associated with the levels of H in the table. Graph the TPH curve. H. 8 64 216 512

d. Find the cross-partial derivatives: Are they equal? ÕMPN/ÕH = ÕMPH/ON = %3D %3D e. Suppose that policy makers cannot control nutrition, which is fixed in the short run at Ns = 27. In the short run, life expectancy is a function of health spending only. Write and simplify the short run production function with N = 27. This is just the Total Product function for input H: L = L(Ns, H) = TPH = %3D %3D %3D f. Find values of L associated with the levels of H in the table. Graph the TPH curve. H. 8 64 216 512

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

I want to check if I am going in the right direction with my math could I get feedback or guidance for the next part

4(25+3(2)
1/3
1/2
d. Find the cross-partial derivatives: Are they equal?
ÕMPH/ON =
OMPN/ÕH =
e. Suppose that policy makers cannot control nutrition, which is fixed in the short
run at Ns = 27. In the short run, life expectancy is a function of health spending
only. Write and simplify the short run production function with N = 27. This is just
the Total Product function for input H:
L = L(Ns, H) = TPH =
f. Find values of L associated with the levels of H in the table. Graph the TPH curve.
H.
8.
64
216
512
auacdrane dounward
6. Cubic Total Product Curve
b. Find the

5. Health Expenditure, Nutrition, and Life Expectancy
Q = Q(x, L) = 2k'½ L%
> Let:
L = life expectancy in years
N = measure of average nutrition
H = per capita expenditures on health care
11
> The production function for life expectancy is: L = L(N, H)
= 2NH½
a. Does the production function show constant, increasing, or decreasing returns to
scale? Show.
Constant
b. Find expressions for the marginal products MPn and MPH.
Are both marginal products positive?
-3 2/3
-/3
13
MPH =
MPN =
AS long as the Marginal Product is greater than the Auerage Produet
c. Find the second partial derivatives ÕMPN/õN and ÕMPH/TH.
Are both marginal products diminishing?
X Jugr
2/3
OMPH/SH =
ÕMPN/ON =
aN

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