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

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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