Supply and demand conditions can also be expressed in quadratic form. Find the equilibrium price and quantity, given the demand function P+ Q2+3Q- 20 = 0 and the supply function P- 3Q2+10Q = 5 also make a graph.
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- The demand for a 12-ounce bottle of sparkling water is given in the table. Demand Schedule for Sparkling Water in 12-ounce Bottles Price (dollars per bottle) 2.29 2.69 3.09 3.49 3.89 4.29 Demand (million bottles) 25 9 3 2 1 0.5 (a) Write the function for the exponential model that gives demand in million bottles, as a function of price per bottle p, with data from 2.29 ≤ p ≤ 4.29. (Round all numerical values to two decimal places. Be sure you use the correct input variable p.) D(p) = Does the model indicate a price above which consumers will purchase no bottles of water? The model is exponential and ---Select--- ✓the horizontal axis. Therefore there is ---Select--- above which consumers will not purchase water. (b) What quantity of water will consumers purchase when the market price is $3.87? (Round your answer to two decimal places.) million bottles (c) Calculate the amount that consumers willing and able to spend to purchase the quantity found in part (b). (Round your answer to one…The following graph shows the market for croissants in Philadelphia, where there are over 1,000 bakeries at any given moment. Suppose croissant sellers expect that tomorrow the price of croissant will be significantly higher than today's price. Show the effect of this change on the market for croissants by shifting one or both of the curves on the following graph, holding all else constant. Note: Select and drag one or both of the curves to the desired position. Curves will snap into position, so if you try to move a curve and it snaps back to its original position, just drag it a little farther. PRICE (Dollars per croissant) QUANTITY (Croissants) Supply Demand Demand Supply (?)The quantity demanded x each month of Russo Espresso Makers is 250 when the unit price p is $150; the quantity demanded each month is 1000 when the unit price is $120. The suppliers will market 750 espresso makers if the unit price is $50. At a unit price of $80, they are willing to market 3000 units. Both the demand and supply equations are known to be linear. (a) Find the demand equation.p = (b) Find the supply equation.p = (c) Find the equilibrium quantity and the equilibrium price. equilibrium quantity units equilibrium price $
- The supply and demand for a computer in a store are given for two prices: for a price of $800, the demand quanity is 50 and the supply quanity 230: for a price of $50, the demand quanity is 150 and the supply quantity 150. Let a represent the quanity A. Write an equation representing the demand function B. Write an equation representing the supply function C. Find the equlibrium quantity and priceThe following table shows worldwide sales of a certain type of cell phone and their average selling prices in 2012 and 2013. Year 2012 2013 Selling Price ($) Sales (millions) 928 1,144 375 335 (a) Use the data to obtain a linear demand function for this type of cell phone. (Let p be the price, and let q be the demand). q(p): -5.4p + 3185 X Use your demand equation to predict sales if the price is lowered to $255. 1808 x million phones (b) Fill in the blank. For every $1 increase in price, sales of this type of cell phone decrease by 5.4 million units.Suppose the supply of a good is given by the equation Q = −6+2P and the demand for the good is given by the equation QD = 14 - 2P, where quantity (Q) is measured in millions of units and price (P) is measured in dollars per unit. The equilibrium quantity in this market is 4 million PRICE (Dollars per unit) the following graph, plot the demand curve using the blue line (circle symbol) and plot the supply curve using the orange line (square symbol). Then place the black point (plus symbol) at the equilibrium price and quantity. Dashed drop lines will automatically extend to both axes. 10 9 8 7 2 1 0 0 1 2 3 4 5 6 7 QUANTITY (Millions of units) 8 units and the equilibrium price is 9 10 Demand Supply $5. Equilibrium
- The following graph input tool shows the daily demand for hotel rooms at the Big Winner Hotel and Casino in Las Vegas, Nevada. To help the hotel management better understand the market, an economist identified three primary factors that affect the demand for rooms each night. These demand factors, along with the values corresponding to the initial demand curve, are shown in the following table and alongside the graph input tool. Demand Factor Initial Value Average American household income $40,000 per year Roundtrip airfare from New York (JFK) to Las Vegas (LAS) $250 per roundtrip Room rate at the Lucky Hotel and Casino, which is near the Big Winner $250 per night Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. For each of the following scenarios, begin…When sold for $790.00, a certain desktop has an annual supply of 129.5 million computers and an annual demand of 155.5 million computers. When the price increases to $865.00, the annual supply increases to 147.5 million computers, and the demand drops to 134.5 million computers. NOTE: Round slope and vertical intercept to 4 decimal places and use those rounded values to the end. (a) Assuming that the supply and demand equations are linear, find the supply and demand equations. Supply Equation p = Demand Equation p = esc (Note: The equations should be in the form p = mq + b where p denotes the price (in dollars) and q denotes the quantity (in billions). The slope and y-intercept should be accurate to 4 decimal places). (b) Find the Equilibrium price and quantity. Equilibrium price p = Equilibrium quantity q = 9- F2 A (Note: The equilibrium price should be accurate to 2 decimal places and quantity should be rounded to the nearest whole number, and the equilibrium price should include a…The following graph input tool shows the daily demand for hotel rooms at the Lakes Hotel and Casino in Atlantic City, New Jersey. To help the hotel management better understand the market, an economist identified three primary factors that affect the demand for rooms each night. These demand factors, along with the values corresponding to the initial demand curve, are shown in the following table and alongside the graph input tool. Demand Factor Average American household income Roundtrip airfare from Pittsburgh (PIT) to Atlantic City (ACY) Room rate at the Mountaineer Hotel and Casino, which is near the Lakes PRICE (Dollars per room) Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. 500 450 400 350 300 250 200 150 100 + 50 0 Demand + 0 50 100 150 200 250 300 350 400 450 500…
- The demand for coffee is given by the following equation, where QD�� stands for the quantity demanded and P stands for price. QD=100−4PQD= 100- 4P The supply of coffee is given by the following equation, where QS�� stands for the quantity supplied and P stands for price. QS=-10+2PQS= -10+ 2P For parts a-d, consider a graph of the demand and supply curves with price on the vertical axis and quantity on the horizontal axis. What is the slope of demand? Slope = At what price is quantity demanded equal to zero (this is, graphically, the vertical intercept of Demand)? P = What is the slope of supply? Slope = At what price is quantity supplied equal to zero (this is, graphically, the vertical intercept of Supply)? P =Price & Demand In economic theory, we let z represent the number of items (called demand) a supplier will produce if the price of the item is p. For a particular item, if the price is $10 per item, then the demand is 577 items. However, if the price is raised to $33 per item, then the demand decreases to 393 items. Using this information, find the demand equation as a function of the price p? r(p)Price A B Quantity Price D Quantity The market for BREAD is represented by the dark solid curves in the two graphs above (demand and supply are shown separately to make the diagram easier to read). Indicate which curve (or curves) we would move to with each of the following changes.