Qa = 140 – 10P Q, = 20+10P where: Qu = Quantity demanded (units) Q, = Quantity supplied (units) P = Price (RM) (a) Given the price of an item as in Table Q4(a), find the quantity demanded (in uni- and quantity supplied (in units) Table Q4 (a) Price (RM) Price (RM) 1 7 3 4 9. 10 (b) Determine the market equilibrium price and quantity
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- Apply the properties of functions to correctly determine and interpret the break-even point in the following situations, using valid mathematical procedures and correct mathematical notation. Express your answer in terms of the context of the problem. The supply and demand equations for a certain product are: (1) and (2) respectively, where p represents the price per unit in dollars and q, the number of units sold per period. 3q - 200p + 1800 = 0 3q + 100p - 1800 = 0 Algebraically find the equilibrium price. Find and interpret the equilibrium price when a supplier tax of 27 cents per unit is imposed.A change in consumer demographics will cause the demand curve to change to Qd=90-3P. If the supply curve remains the same (Qs=P-10) graphically draw these two curves, labeling all relevant points on the thorizontal and vertical axes.A local store will buy 20 doorbell cameras from a supplier if the price is $77 each. If the price drops to $27 , then the store will buy 30 . The supplier is willing to sell 66 doorbell cameras for the price of $50.50 each, but only 49 at a price of $42.00 each. Find the supply and demand functions and the market equilibrium point. Assume both the supply and demand are linear. Use integers, fractions or decimals to describe the slopes and p-intercepts. A) What is the equation for the demand? p= B) What is the equation for the supply? p= c) What is the market equilibrium point?Explain in details
- Assume that the market of pens consists of three consumers who's demand curves are P=15-0.5Qa. P=5-0.111Qb and P=5-0.2Qc. The supply function given is P=5-0.25Qs.a) calculate the market price and output for pens for the month of March 2023 and show your answer graphically.Suppose you have been hired by a research firm trying to understand the market for Widgets (a hypothetical product). Your analysis of the data indicates that the Demand curve for Widgets is estimated to be linear and given by equation Qd = 150 – 3P and the Supply curve for Widgets appears to be linear as well and is estimated as Qs = 2P – 20. Graphically draw these two curves, labeling all relevant points (such as intercepts for each line) on the horizontal and vertical axes.A firm keeps a record of sales and prices over the past seven months, resulting in the following table: Price (ZMW/ton) Sales (tons) Nov. 1985 7.5 84.5 Dec. 8.0 82.0 Jan. 1986 8.0 84.0 Feb. 7.2 92.0 March 7.0 95.0 April 8.0 92.0 May 8.5 91.5 Use these observations to estimate demand as a linear function of both price and time. Further, utilise this function to estimate demand for the following month, on the assumption that: (a) price remains unchanged, (b) price increases to ZMW9/ton. Hence estimate the price elasticity of demand between these prices and find the price which would maximise sales revenue. Given the nature of the observations, comment on any difficulties in interpreting your results for decision-making purposes.
- A manufacturer of computer workstations gathered average monthly sales figures from its 56 branch offices and dealerships across the country and estimated the following demand for its product: Q = +15,000 - 2.80P + 150A + 0.3Ppc + 0.35Pm + 0.2Pc The variables and their assumed values are Q = Quantity P = Price of basic model = 7,000 A = Advertising expenditures (in thousands) = 52 Ppc = Average price of a personal computer = 4,000 Pm = Average price of a minicomputer = 15,000 Pc = Average price of a leading competitor’s workstation = 8,000 Compute the elasticities for each variable. On this basis, discuss the relative impact that each variable has on the demand. What implications do these results have for the firm’s marketing and pricing policies?There is no demand for a certain make of one-time use camera when the unit price is $ 12. However, when the unit price is $ 8, the quantity demanded is 8000/week. The supplier will not market any cameras if the unit price is $ 2 or lower. At $ 4/camera, however, the manufacturer will make available 5000 cameras/week. Given that both the supply and demand equations are linear: Determine the associated linear demand function Determine the linear supply function. At what price should the camera be sold so that there is neither a surplus nor a shortage?Consider the general supply function Qs = 60+5P-12Pi+10F Derive the equation of the supply function when Pi = 90 dollars and F = 20.
- Spreadsheet exercises. Suppose that the market for video games is competitive with demand function Qd = 130 − 4p + 2Y + 3pm − 2pc, where Qd is the quantity demanded, p is the market price, Y is the monthly budget that anaverage consumer has available for entertainment, pm is the average price of a movie, and pc is the price of a controller that is required to play these games. 1. Given that Y = $100, pm = $30, and pc = $30, use Excel to calculate quantity demanded for p = $10 to p = $80 in $5 increments. Use Excel’s charting tool to draw the demand curve. 2. Now, Y increases to $120. Recalculate the demand schedule in part 1. Use Excel’s charting tool to draw the new demand curve in the same diagram. 3. Let Y = $100 and pc = $30 again, but let pm increase to $40. Recalculate the demand schedule in part 1. Use Excel’s charting tool to draw the graph of the new demandcurve. 4. Let Y = $100, pm = $30, and pc increase to $40. Recalculate the demand schedule in part 1 and use Excel to draw…Bread demand function: Q = 100 + 0,5 1 - 30P1+ 20P2, where Q is the annual value of demand; I is income; P1 is the price of bread; P2 is the price of pasta. Define : 1) the function of the annual demand for bread with an income of 10 thousand rubles per month and the price of pasta 250 rubles per 1 kg; 2) the price at which the demand for bread will be zero. Construct the demand curve for bread.The market supply and demand equations for a given product are given by the expressions QD=200-50p QS=-40+30P a. Find the equilibrium price and Quantity b. Suppose that there is an increase in demand and supply to QD=300-50P QS=-20+30P Respectively, find the new equilibrium point. In addition to this, show the impact of change in demand and supply using axing graph.