(3) Suppose there are two consumers in the market for a good and their demand functions are as follows: di (p) = 20 - p for any price less than or equal to 20 , and di(p) = 0 at any price greater than 20. da(p) = 30 - 2p for any price less than or equal to 15 and d, (p) = 0 at any price greater than 15. Find out the market demand function. (4) Suppose the price elasticity of demand for a good is -0.2. If there is a 5% increase in the price of the good, by what percentage will the demand for the good go down?
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- 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)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?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
- 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…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).Suppose the demand curve for a product is given by the equation P = 13 – 0.5Q. Which of the following statements is accurate? Group of answer choices a) If the price is $8, the quantity demanded is 9 units. b) The maximum willingness to pay for the 8th unit is $5. c) If the price is $6, the quantity demanded is 7 units. d) The maximum willingness to pay for the 8th unit is $9. e) The maximum willingness to pay for the 10th unit is $3.
- If the number of buyers in a market increases from 25 to 75, you would expect the equilibrium price to _____ and the equilibrium quantity to _____, holding all else constant. Group of answer choices remain the same; remain the same decrease; decrease decrease; increase increase; increase increase; decreaseThe goal of the consumer is to maximize the total utility or satisfaction derived from their purchase choices, given the unique budget constraint. To calculate total utility of a given combination of T-shirts and movies, one would use the following approach: Group of answer choices For a given combination of T-shirts and movies, assign a number of utils to that combination. For a given combination of T-shirts and movies, survey a group of individuals to determine an average for utils to be assigned to the number of T-shirts and movies. Use utils as a measure of utility, assigning a specific number to T-shirts and movies, and then add those together. For a given combination of T-shirts and movies, use Google to identify the number of utils associated with the number of T-shirts and movies and then sum them.A manufacturing business can supply 60 plasma TV sets per month at a price of $280 per set, or sell 140 plasma TV sets if the price is $370 per set. A group of retailers will buy 80 plasma TV’s if the price is $350 per pair and 120 plasma TV’s if the price is $300 per set. Given that the demand and supply functions must be linear: Find the linear equations representing both demand and supply Find the point of market equilibrium (number of TVs: q) and the price per unit (p) at that point.
- Explain the technique of constrained optimization in relation to utility functions and how it relates to consumer equilibrium.a) The demand and supply functions of a particular good are given by the equations 5pq = 10 5p + 5q +15The 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.