Assume equations 1 and 2 below were estimated from the data gathered that will represent the demand and supply functions respectively of an individual buyer and seller respectively for product X. Qdx = 65,000 – 11.25Px + 15P, – 3.751 + 7.5A Eq. 1 Qsx = 7,500 + 14.25Px - 15P, - 3.75C Eq. 2 where Px- price of product X; Py - price of product Y; /- average consumer's income; A - advertising expenditure; Pz - price of product Z; and C- cost of production.
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- 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?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?Px = 666 -0.5Qx - 2Qy Py = 484.5 -1.5Qy - 0.25Qx MCx = 20 +2Qx MCy = 4 + Qy What are the profit-maximizing prices for the two goods? 1). Px = $375, Py = $284 2). Px = $423, Py = $712 3). Px = $166, Py = 324 4). Px = 481, Py = 588 [ i will upvotes 5]
- 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.The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 95ep − 3p2⁄2, where q is the demand in monthly sales and p is the retail price in hundreds of yen. (a)Determine the price elasticity of demand E when the retail price is set at ¥300. E = Interpret your answer. The demand is going by % per 1% increase in price at that price level. Thus, a large price ___ is advised. (b)At what price will revenue be a maximum? (Round your answer to the nearest integer.) yen (c)Approximately how many paint-by-number sets will be sold per month at the price in part (b)? (Round your answer to the nearest integer.) paint-by-number sets per month2. Suppose your marketing research department estimates the demand for your company’s product as Qx= 500-11Px+0.5Y, where Qx is the quantity demanded per week, Px is the price of product X, and Y is the average household income per week in the city. R2=0.87, the standard error of the coefficients of the price (Px) and household weekly income (Y) are 2 and 0.1, respectively. a. Are the coefficients of Px and Y statistically significant? b. Given the initial values Px=$10 and Y=$1000, find price elasticity (Ep) and income elasticity(EY), respectively. Is the demand for the company’s product price and income elastic, or inelastic? c. What action should the manager take to increase the company’s operating revenue? d. Is the company’s product a normal good? How do you know? e. Interpret what R2=0.87 means
- 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.Questions 1-17 refer to below statement and demand and supply functions. Suppose that demand and supply curves for avocado in Brooklyn are as the followings: Qd = 144 − 24P Qs = -36 + 12P where Qd and Qs are quantities demanded and supplied in tons respectively, and P is the price of avocado in dollars per kg? 1) If price elasticity of demand for avocado at price P* is equal to -2/3, how much is P*? a) $2.00 b) $2.20 c) $2.40 d) $2.60 e) $2.80 2) What is quantity demanded at price P* at which price elasticity of demand for avocado equals -2/3? a) 82.2 tons b) 83.2 tons c) 84.4 tons d) 85.2 tons e) 86.4 tons 3) If price elasticity of supply for avocado at price P* is equal to 2.5, how much is P*? a) $2 b) $3 c) $4 d) $5 e) $6 4) What is quantity supplied at price P* at which price elasticity of supply for avocado equals 2.5? a) 6 tons b) 12 tons c) 18 tons d) 24 tons e) 30 tons 5) What is market clearing equilibrium price and quantity in Brooklyn avocado market? a) $3; 20…
- Suppose that the supply and demand schedules for a local electric utility are as follows:Price 17 16 15 14 13 12 11Quantity supplied 9 7 5 3 1 - -Quantity demanded 3 4 5 6 7 8 9The price is in cents per kilowatt hour (kWh), and the quantity is millions of kilowatt hours. The utilitydoes not operate at prices less than 13 cents per kWh.(a) Using graph paper and a ruler, or a computer spreadsheet or presentation program, carefully graphand label the supply curve for electricity.(b) On the same graph, draw and label the demand curve for electricity.(c) What is the equilibrium price of electricity? The equilibrium quantity? Label this point on yourgraph.(d) At a price of 17 cents per kWh, what is the quantity supplied? What is the quantity demanded? Whatis the relationship between quantity supplied and quantity demanded? What term do economists useto describe this situation?(e) At a price of 14 cents per kWh, what is the relationship between quantity supplied and quantitydemanded? What…The market demand for productXis given by: \[ Q_{d}=6-1 / 2 P \text { or } P d=12-2 Q \] The market supply for goodXis given by: \[ Q_{s}=-14+2 P \text { or } P s=7+1 / 2 Q \] whereP=price per unit andQis number of units. Draw a supply-and-demand graph with these curves. 1.) Using the line drawing tool, draw the supply and demand curves. Properly label your lines. 2.) Using the point drawing tool, plot the equilibrium point. Label your point 'E'. Note: Carefully follow the instructions above and only draw the required objects. The equilibrium price is$and the equilibrium quantity is unit(s). (Enter your responses as integers.) A per-unit excise tax is imposed on suppliers of productX, and the market supply with the tax is now given by: \[ Q_{s}=-19+2 P \text { or } P s=9.50+1 / 2 Q \] Using the graph on the right, show this supply curve. 1.) Using the line drawing tool, draw the new supply curve. Label your line 'S1+tax'.1. Note: Carefully follow the instructions above and only draw…Suppose a firm has the following demand equation: Q(P) = 100 - 30P + 4A Where Q(P) = quantity demanded at the market price P P = product price (in S) A = advertising spending (in $) Assume for the following questions that initial values of P = $2.00 and A = $1.5,000 No 1--- Suppose the firm dropped the price to $2.60. Would this be beneficial. Explain. (Hint: investigating the link between revenue and price elasticity of demand is the best approach -for this question.) No 2--- Supposed the firm raised the price to $5.00 while increasing its advertising expenditure by $200. Would this be beneficial? REQUIRED 2B: a--- Construct the demand schedules (in a table) of Q, P and A (before and after the increase in advertising spending) -using Excel (detailed steps are optional b----Graph the demand curves (before and after the increasing in advertising spending) -using Excel (details of steps are required. no chatgpt or any ai tool and should be in excel with details of formula