Hi! Can I please get help with deriving this CES demand function to get the Marshallian demand function by using the Lagrange method? u(x1, x2)= (Ax1P+x₂P)1/p where: 0#p<1 How does A affect the demand for x1?
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- only typed answer Q1 Assume that the demand curve D(p) given below is the market demand for widgets: Q=D(p)=1291−14pQ=D(p)=1291-14p, p > 0 Let the market supply of widgets be given by: Q=S(p)=−5+10pQ=S(p)=-5+10p, p > 0 where p is the price and Q is the quantity. The functions D(p) and S(p) give the number of widgets demanded and supplied at a given price. What is the equilibrium price? Please round your answer to the nearest hundredth. What is the equilibrium quantity? Please round your answer to the nearest integer. What is the total revenue at equilibrium? Please round your answer to the nearest integer.Green et al. (2005) estmate the supply and demand curves for Californa processod tomatoes. The supply function is: \[ \ln \left(Q_{s}\right)=0.200+0.550 \ln (p) \] whereQis the quantify of processing tomatoes in milions of tons per year andpis the price in dollars per ton. The demand function is: \[ \ln \left(Q_{d}\right)=2600-0.200 \ln (p)+0.150 \ln \left(p_{1}\right) . \] wherep1is the price of tornato paste (which is what processing tomatoes are used to produce) in dollars per ton. Supposept=$119Determine how the equilerium price and quantity of processing tomatees change if the price of tomato pasise tails by16%. If the price of tomato paste fals by18%, then the equaborium price will by 5 (Enter a numene response using a real number rounded to two decimal places)Use the following generalized linear demand relation to answer the question: Qd = 100 - 5P + 0.004M - 5PR where P is the price of the good X, M is income and PR is the price of a related good, R. Using the above generalized linear demand relation, if M = 40,000 and PR = 20 and the supply function is Qs = 85 + 10P, what is market price and output? Thank you for helping me :D
- The demand function for a truckload of firewood for college students in a small town is Qc = 400-p. It is sometimes convenient to rewrite a demand function with price on the left side. We refer to such a relationship as the inverse demand function. Therefore, the inverse dimand function for college student is p = 400 - Qc. The demand function for other town residents is Qr = 400 -2p. What is the inverse demand function for other town residents? At a price of $300,. will college students buy any firewood? What about town residents? At what price is the quantity demanded by other town residents zero? Draw the total demand curve, which sums the demand curves for college students and other residents?Given: 6x+10y-42=0, is it a supply or a demand function? a.) supply functionb.) demand functionFor demand function Qd = a - dP and supply function Qs = dP - c, using the Cramer’s Rule, determine the equilibrium price and equilibrium quantity
- The market research conducted by a firm in the drinking water industry shows that the demand for water has a constant elasticity equal to − 1/? where ? is 9 a) Express the demand function in the form of a differential equation b, Find the general solution for the differential equation by expressing Q (the quantity demanded) as a function of P (the product price). c, ) Suppose that the demand for bananas has a constant elasticity equal to – 9. Explain in words (without providing any calculation) how decreasing the price would affect a banana seller’s total revenue and profits. Please help me. Thank you so much.What other complements and substitute can be added to the below demand function and explain why?lnQLG= f (lnPLG, lnPMIT, lnPELC, lnADV, lnTS)where,lnQLG shows the natural log of quantity demanded of LG, lnPLG is the natural log of price of LG, lnPMIT is the price of Mitsubishi, lnPELC is the price of household electricityLnADV is the log of advertisementlnTS shows the total sale of firmThe weekly demand for sobolo among the 2017 cohort of BSc Admin students at the UGBS is Qdx =50-4PX +0.5I +10Py -2PzWhere Qdx is the quantity demanded for soboloPX is the price of sobolo per 1bottleI is the income of consumers in Ghana cedisPy and Pz are the prices of two goods that are related to soboloa. Based on the demand function above, is sobolo a normal good or inferior good? Explain your answer.b. Based on the demand function above , what is the relationship between sobolo and good Yc. Based on the demand function above , what is the relationship between sobolo and good Zd. What is the equation of the demand for sobolo if consumer incomes areGHS30, the price of good Y is GHS 10 and the price of good Z is GHS 20?e. Graph the demand function for sobolo from d)
- Imagine the market for Good X has a demand function of Qdx = 200 – 2Px – Py + .1M and a supply function of Qsx = 2Px – 2Pw, where Px is the price of Good X, Py is the price of Good Y, and M is the average consumer income. Pw is the price of Good W, which is an input to the production of Good X. If Py = 10, Pw = 50, M = $2700, what's the price of X in equilibrium?Suppose the supply function for product X is given by QXS = − 30 + 2Px − 4Pz. Instruction: Enter all values as integers, or if needed, a decimal rounded to one decimal place.a. How much of product X is produced when Px = $600 and Pz = $60?b. How much of product X is produced when Px = $80 and Pz = $60?c. Suppose Pz = $60. Determine the supply function and inverse supply function for good X. Graph the inverse supply function. Supply function: Inverse supply function: Graph the inverse supply function from QX = 0 to QX = 200From the demand function Qdx = 12 + 2Px (Px is given in dollars), derive (a) the individual’s demandschedule and