buyers in the chocolate market demand 200 units of chocolate when price is zero and decrease the purchase of chocolates by 2 units for every one unit increase in price. write down the equation of the demand function in the form of Q= f(P)
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buyers in the chocolate market
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- The demand function for electric fans is as follows: • Qx = 100 – 0.5Px + 0.03I + 3Py where: • Qx = quantity demanded of electric fans • Px = average price of an electric fan • I = average income • Py = average price of an air conditioner Assume that the average price of an electric fan is $50, an air conditioner costs $400 and average income is $4,000. Determine or calculate the following: 1. The slope of the demand curve, 2. If air-conditioners are complimentary or substitutionary to electric fans with respect to the coefficient and, 3. If electric fans are a normal or inferior good with respect to the income coefficient.Suppose demand and supply for eggs are given by the following equation:An industrial firm makes two products, A and B. These products require water resources where they are very scarce. The products they make are unique, and hence they can set the unit price of each product at any value they want to. However, experience tells them that the higher the unit price for a product, the less amount of that product they will sell. The relationship between the unit price and quantity that can be sold is given by the following two demand functions: Assume for simplicity that the unit price for product A is (16 - A) and for product B is (18-2.5B). Suppose the total amount of A and B could not exceed the total amount of Tmax. Where Tmax = 10. Please use "Lagrange Multiplier" method to determine what are the amounts of A and B, and their unit prices, that maximize total revenue (Set the marginal increments at 1).
- 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 priceA company that makes sweatshirts is willing to supply 156 sweatshirts each month if the price is $24 each and will supply 204 sweatshirts each month if the price is $36 each. Find the linear supply function, qS where qS is the number of sweatshirts the company is willing to make available per month at a price of p dollars per sweatshirt. A.qS = 12p + 48 B.qS = p/12 – 48 C.qS = 0.25p – 15 D.qS = 4p + 60The demand for brownie dishes is q(p)=361,201-(p+1)^2 where q is the number of dishes they can sell each month at a price of p cents. Use this function to determine a) the number of dishes they can sell each month if the price is 50 cents, b)the number of dishes they can unload each month if they give them away, and c)the lowest price at which they will be unable to sell any dishes
- The table below shows the quantity of gasoline supplied by producers (Qs) and quantity of gasoline demanded by consumers (Qd) given certain price levels (P). 1. . Derive the Qd and Qs functions assuming that both variables are linearly related to price of gasoline. 2. Give the economic meaning of the slope of Qs and Qd functions.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…Use the following general linear demand relation: Qd = 100 − 5P + 0.004M − 5PR where P is the price of good X, M is income, and PR is the price of a related good, R. What is the demand function when M = $50,000 and PR = $10? Qd = 350 − 5P Qd = 300 − 5P Qd = 200 − 5P Qd = 100 − 5P None of the choices is correct.
- The price of a widget decreases from $5000 to $4000, and in response to the price change the quantity demanded increases from 4000 to 8000 units. Therefore, demand for widgets in this price range: (Use the midpoint formula and write your answer in absolute terms, meaning as a positive number)The demand function for a good is Q = 650-5P while the supply functions is Q=-100+10P. Graph the demand and supply function.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?