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- Denote the consumption of food by x and the consumption of all other goods by y. The demand for food as a function of prices and income is given by: Qx(px,py,W)=5W/8px. Suppose that W=100, px=3, and py=5. The change in consumption of food that is caused by a 2% increase in W is approximately: An increase of 2% in demand of y. There is no change. A decrease of 2% in demand of y. A decrease of 2% in demand of x. An increase of 2% in demand of x.1. Consider a demand of the form QD = 2P + 16 and a supply curve of the form Qs = P 5. Plot these curves and be sure to P on the vertical and Q on the horizontal axis. Find the equilibrium price and quantity. 2.Consider the function Y = pXZ where X > 0 and Z > 0. Draw the contour lines (in the positive quadrant) for this function for Y = 4, Y = 5, and Y = 10. What do we call the shape of these contour lines? Where does the line 20X + 10Z = 200 intersect with the contour lineY = 50?Please no written by hand solution Instead of assuming a linear demand curve, suppose we assume that demand is char- acterized by the following demand function qD = 13.572P −1.5 (a) Suppose the current price is $5. What is the price elasticity of demand at this price? (b) Over what range of prices is demand elastic? Inelastic? Unit elastic?
- The lockdown around the world has caused the rapid growth in the electronic market as people have shifted from conventional methods to the new methods for imparting knowledge and staying connected. If demand and supply function are given as: Qd= 65 – 10P Qs= -35 + 15P Find the equilibrium price and quantity and show it on labeled D/S diagram. How do you interpret market equilibrium: (i) if P= Rs.6? (ii) if P=2? Show on the Demand-Supply diagramin (a), the graphical interpretation of your answer of (b).The demand for hamburgers is given by Qd=10-p and the supply is Qs=4p-10, where pd and ps are, respectively the price paid by demanders and the price received by suppliers. A: Draw the demand and supply functions. What is the price-elasticity of demand? What is the price-elasticity of supply? B: Find the equilibrium quantity and price, and show them on the graph. C: Suppose due to the rising health awareness the demand decreases to Q d=5-p. Find the new equilibrium prices and quantity, and show them on the graph. D: Suppose that the demand and supply are as before, i.e. Qd=10-p and Qs=4p-10, but now the government imposes a quantity tax on the suppler at the rate of 1 per unit of the quantity. What quantity will be sold and what price? E: In part d), what is the total amount of tax collected by the government? How this tax amount is divided between the demanders and supplier? Who pays more and why? ExplainConsider the following linear demand function where QD = quantity demanded, P = selling price, and Y = disposable income: QD = -36 - 2.1P + .24Y. The coefficient of Y (i.e., .24) indicates that (all other things being held constant): * for a one percent increase in disposable income, quantity demanded would increase by 0.24 percent for a one unit increase in disposable income, quantity demanded would increase by 2.1 units for a one percent increase in disposable income, quantity demanded would decline by 2.1 percent for a one percent increase in disposable income, quantity demanded would decline by 0.24 percent
- true or false with reasoning. 1) ______In general, the larger the proportion of consumer’s income spent on a product, the smaller is price elasticity of demand 2) -----if a supply curve is linear and it intersects the price axis, the curve is elastic. Support your answer mathematically. Hint: write an equation of a supply curve that intersects the price axis in the general form and go from there. 3) ______Restaurants might offer a free drink with a purchase an appetizer because of the relatively low elasticity of demand in their industry.**Answer bolded questions only please** The following relations describe monthly demand and supply for a computer support service to small businesses: Qd=3000-10P Qs=-1000+10P whrer Q is the number of businesses that need services and P is the monthly fee, in dollars. a. The average monthly fee where demand equal zero. $300 b. The average monthly fee where supply equal zero. $100 d. what is the equilibrium price/output level? e. Suppose demand increases and leads to a new demand curve: Qd = 3500 - 10P f. Suppose new suppliers enter the market due to the increase in demand so the new suply curve is Q=-500+10P. What are the new equilibrium price and equilibrium quantity? g. Show changes on the graph.The following relations describe monthly demand and supply for a computer support service to small businesses: Qd=3000-10P Qs=-1000+10P whrer Q is the number of businesses that need services and P is the monthly fee, in dollars. a. at what average monthly fee would demand equal zero? b. at what average monthly fee would supply equal zero? c. plot the supply and demand curves. d. what is the equilibrium price/output level? e. Suppose demand increases and leads to a new demand curve: Qd = 3500 - 10P f. Suppose new suppliers enter the market due to the increase in demand so the new suply curve is Q=-500+10P. What are the new equilibrium price and equilibrium quantity? g. Show changes on the graph.
- Suppose the generalized demand function for good X is Qd=60-2Px+0.01M+7Pr a.Suppose M=40,000 and Pr=20 what is the direct demand function b.Suppose the supply function is Qs=-600+10Px, what are the equilibrium price and quantity? c.What happens to equilibrium price and quantity if other things remain the same as in part (b) but income increases to 52,000? d.What happens to equilibrium price and quantity if other things remain the same as in part (b) but the price of the related good decrease to 14? e.What happens to equilibrium price and quantity if other thing remain the same, income and price of related goods are at their original levels and supply shifts to Qs=-360+10Px?The lockdown around the world has caused the rapid growth in the electronic market as people have shifted from conventional methods to the new methods for imparting knowledge and staying connected. If demand and supply function are given as: Qd= 65 – 10P Qs= -35 + 15P Find the equilibrium price and quantity and show it on labeled D/S diagram. How do you interpret market equilibrium: (i) if P= Rs.6? (ii) if P=2? 3.Show on the Demand-Supply diagram in (a), the graphical interpretation of your answer of (b).onsider the supply function: Qs = 60 + 5P – 12 PI + 10F , Where Qs = quantity supplied, P = price of the commodity, PI = price of a key input in the production process, and F = number of firms producing the commodity. Interpret the slope parameters on P, PI, and F. Derive the equation for the supply function when PI =$90 and F = 20. Sketch a graph of the supply function in part b. At what price does the supply curve intersect the price axis? Give an interpretation of the price intercept of this supply curve. Using the supply function from part b, calculate the quantity supplied when the price of the commodity is $300 and $500. Derive the inverse of the supply function in part b. using the inverse supply function; calculate the supply price for 680 units of the commodity. Give an interpretation of the supply price.