The demand function of good 1 is given by D = D(P1, P2, y) where p₁ is the price of good 1, p2 the price of a related good, and y consumer's income. The supply function of good 1 is S = S(P₁, P2) Carry out a general comparative-statics analysis of the effects of p2 and y on the equilibrium price of good 1.
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- This problem involves solving demand and supply equations together to determine price and quantity. a. Consider a demand curve of the form QD=-2P+20, where QD is the quantity demanded of a good and P is the price of the good. Graph this demand curve. Also draw a graph of the supply curve Qs =2P-4, where Qs is the quantity supplied. Be sure to put P on the vertical axis and Q on the horizontal axis. Assume that all the Qs and Ps are nonnegative for parts a, b, and c. At what values of P and Q do these curves intersect-that is, where does QD = Qs ? b. Now, suppose at each price that individuals demand four more units of output-that the demand curve shifts to QD - 2P+24. Graph this new demand curve. At what values of P and Q does the new demand curve intersect the old supply curve-that is, where does QD = Qs ? c. Now finally, suppose the supply curve shifts to Q's=2P-8. Graph this new supply curve. At what values of P and Q does QD=Q's? Show all working calculations and label garph with…Consider the market for automobiles, and draw representative supply and demand curves.a) Suppose that the price of gasoline rises, and at the same time, the price of steel (an input to automobile production) falls. Show this on your graph. If you have no other information, what can you say about the change in equilibrium price and quantity?b) Now suppose that you have the additional information that the rise in gasoline prices has been relatively large, while the reduction in steel costs has been relatively small. How would this change your answer to (a)? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Demand for cookies is of the following form: P=20-4QD, where QD is millions of cookies demanded per year and P is price in US dollars. Supply of cookies of the following form: P=6+Qs, where QS is millions of cookies supplied per year and P is price in US dollars. a. What is the equilibrium quantity of cookies traded? Solve the equation, showing your work. b. Graph the supply and demand curves, marking their intersection. Be sure to label intercepts, equilibrium, etc. c. The government imposes a tax of $2 per cookie on producers of cookies. What is the new equilibrium quantity of cookies traded? Solve the equation, showing your work. d. In a graph, show how the supply curve has shifted. What price do consumers now pay? After paying the tax, how much to producers receive.
- Suppose there is a linear downward-sloping demand curve and a linear upward-sloping supply curve for a good. The price of a substitute good increases and the price of an input to production also increases. Graph the original demand (D1) and supply (S1) curves, then dray the curves (D2 & S2) after the substitute good and input prices increase. How will the equilibrium price change after the substitute and input prices increase?Suppose the demand equation for shale gas is Qd=10P^-1.8 and the supply equations Qs=2P^0.2What is the equilibrium price and equilibrium quantity?The demand for butter is given by 120-4pd and the supply is 2ps-30, where pd and ps are, respectively the price paid by demanders and the price received by suppliers. a: Draw the demand and supply functions. b: Find the equilibrium quantity and price, and show them on the graph. c: Suppose a drought strikes that shifts the supply functions to 2ps-60. The demand remains the same. Draw the new supply function, and find the new equilibrium price and quantity.
- Information on a coffee market is given as below: qs=20p-100 qd=6000/p where p is the price of coffee per tin and q is the quantity of coffee in tins. (a) Draw two functions on a diagram restricting your attention to p E[0, ∞) and q E [0, ∞). (b) Obtain the market equilibrium. What occurs if the price of coffee per tin is $15? (c) Suppose the demand function has changed to q D = 3000/p . Provide an economic explanation of this change and list a few reasons as to why it might have occurred. (d) Obtain the new market equilibrium. What would happen if the price of coffee per tin stayed the same as the equilibrium price you obtained in (b)?Which of the following statements is (are) correct?(x) If the supply of a product increases, we would expect that the equilibrium price would decrease and the equilibrium quantity would increase.(y) If the demand for a product decreases, we would expect that the equilibrium price would decrease and the equilibrium quantity would decrease.(z) If the demand for a product increases or the supply of a product decreases, we would expect that the equilibrium price would decrease.A. (x), (y) and (z)B. (x) and (y) onlyC. (x) and (z) onlyD. (y) and (z) onlyE. (x) onlySuppose that the annual demand and supply curves for some good in a competitive market are QD = 26 – 2P and QS = −2 + 2P a: Solve for the equilibrium quantity and price.b: Neatly graph this market, showing the horizontal and vertical intercepts of the demand curve,the vertical intercept of the supply curve, and the equilibrium. Make sure to put quantity on the horizontalaxis.
- Given U = (x+2) (y+1) and Px = 4, Py + 6, and B =130: (a) write the langrangian function (b) find the optimal levels of purchase x* and y*. (c) is the second - order sufficient condition for maximum satisfaction (d) the answer ' b' give any comparative - static information? ** Can you please help me with (d)? I know the optimal level of purchase for x* and y* is 16 and 11 respectively. Thank you.The market for gravel has the following demand and supply relationships: Supply function: Q = 100P - 1,000 Inverse demand function: P = 50 - 0.01*Q + PX, where P represents price of gravel per ton in dollars, Q represents sales of gravel per week in tons, and PX is the price of some other product X in dollars per unit. Let PX = $50/ton In a diagram, qualitatively describe the change that would occur in the market for gravel (i.e. equilibrium price and quantity) if a new discovery has just made the production of product X cheaper. Briefly explain whether it is a movement along or shift of demand curve and supply curve for gravel. In addition to the new discovery regarding product X in previous question), suppose now workers producing gravel ask for sick leave due to COVID. Use supply and demand analysis to predict how these two shocks will affect equilibrium price and sales. Illustrate your results in a diagram. Is there enough information to determine if market prices will rise or…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)