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- are you sure that n = 24, If it is correct, can you explain extensively pleaseUse the chain rule to find dy/dx for th following : y= (7x^2-5)^9Consider the Lagrangian function L=qq, *+2(Y-p,9,- P292) . Which of the following expressions is NOT a first-order condiction of this function: OA (1-a)a;aª-àp2 = 0 O B. aq'a¯ -ap, = 0 OC. (Y-P191 -P292)=0 OD. (1-a)a,a-p2 = 0 Reactic tv MacBook Air 80 DII DD F1 F2 F3 F5 F7 FR F9 F10 F11 ! #3 $ & 1 2 7 8. 9. Q W Y U { H J C V tion command command option V * 00 N Al
- Consider the following Cobb-Douglas production function for the bus transportation system in a city: Q = Lβ1Fβ2Bβ3 Where L = labour input in worker hours F = fuel input in gallons B = capital input in number of buses Q = output measured in millions of bus miles Suppose that the parameters (α, β1, β2 and β3) of this model were estimated using annual data for the past 25 years. The following results were obtained: β1 = 0.45, β2 = 0.20 and β3 = 0.30 a. Determine the (i) labour, (ii) fuel, and (iii) capital-input production elasticitiesAll questions utilize the multivariate demand function for Smooth Sailing sailboats in C6 on text page 83. Compute to three decimal places. Initial values are: PX = $9500 PY = $10000 I = $15000 A = $170000 W = 160 This function is: Qs = 89830 -40PS +20PX +15PY +2I +.001A +10W 1.(a). Use the above to calculate the arc price elasticity of demand between PS = $9000 decreasing to PS = $8000. The arc elasticity formula is: 1.(b). Judging from the computation in (a), do you expect the revenue resulting from the decrease in Ps to $8000 to increase, remain the same, or decrease relative to the revenue at Ps = $9000. (Hint: see the table on page 65 of Truett). Explain your choice. 1.(c). Calculate the point elasticity of demand for Smooth Sailing sailboats at PS = $9000 (which should make Qs = 101600). The formula is: 1.(d). Does this elasticity value indicate that Smooth Sailing demand is relatively responsive to changes in the price of these sailboats? Explain…Provide your opinion on interpreting coefficients in nonlinear specifications?