The change in a commodity's price p(t) is proportional to the excess demand for the commodity. If the Qd = 82p and Qs = 2 + p k is the constant of proportionality. Given p(0) = 5 and p(2) = 3, solve the first-order differential equation. [Use 2 decimal places where necessary] P(t) =
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- 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 change in a commodity's price p(t) is proportional to the excess demand for the commodity. If the Qd = 8-2p and Qs = 2 + p k is the constant of proportionality. Given p(0) = 5 and p(2) = 3, solve the first-order differential equation. [Use 2 decimal places where necessary] P(t) =When the price of a gallon of milk increases from $6 to $8, quantity demanded decreases to 27 gallons. Assuming the price elasticity of demand for milk is -0.3, what is the original quantity demanded? (assuming further that this is the point elasticity relative to the original point on the demand curve.) Please make sure you give a numerical answer with no units and/or space or period (.) or comma (,) before or after your answer. Enter your answer here
- The demand function for a product is p= 45 5-9/10) where q is the number of units and p is the price of one unit. At what price will the demand be 5 units? How many units will be demanded if the price is $12.42?2) Daniel has the following Jineas Preferences over black tea be) and milk (y) (a) Setup the expenolituse minmization Problem for Daniel. what conditions, (BC) or(NNC) will necessarily be (b) Solve the expenditure Problem and obtain the Compensated and the Cost minimization function when binding at the oPtimum? ū = 40 and P = $6. c) Other Pic attach for Part(c)For a demand function Qaf (P), a change in price causes a change in the quantity demanded. There are other five (5) variables, enumerate and explain each variable influencing demand in the general demand function. These are fixed at specific values for a given demand equation.
- Ques- D= f (PX) is a general form of demand function, does not explain the nature and magnitude of the relationship between dependent and independent variable? How will you explain bivariate and multivariate demand functions with reference to price, income, price of related goods (substitute goods in specific linear and in-linear form of demand function?Suppose the demand function for product X is estimated by the equation: QDX= -2PX + 0,5PY - 0,2PZ + 1,2I. In there:QDX is the quantity demanded of product XPX is the price of product XPY is the price of product YPZ is the price of product ZI is the average income of consumersa/ Please make an argument to determine the relationship between two products X and Y, X and Z.b/ Please make an argument to determine whether product X is an ordinary good or a low-end goodAn increase in the price of chilies is inversely proportional to the amount of demand for chilies is an example of an inverse relationship the statement above is true/false?
- The quantity demanded each month of Russo Espresso Makers is 250 when the unit price is $140. The quantity demanded each month is 1000 when the unit price is $110. The suppliers will market 750 espresso makers when the unit price is $76 or higher. At a unit price of $96, they are willing to market 2250 units. Both the supply and demand 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. units $The 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 dishes2) (20) Demand for widgets is a linear function of price. If the price of Widgets is set to $20, 4200 widgets will be sold. If the price is raised to $25, demand falls to 3600 widgets. a) (4) Find the demand function D(x), where x represents the price and D(x)= y represents the demand for widgets. b) (2) Describe the meaning of the slope of the demand function, in the context of the price, and demand for widgets. c) (2) Find the revenue function R(x), which is price times the demand. (2) Graph the Revenue Function using Desmos, or any other graphing utility of your choice; note the scale on the axes. If your graph doesn't fit on the graph, your Revenue function is probably incorrect. Hint Ask Questions! Email! 100000 90000 80000 70000 60000 50000 40000 30000 20000 10000 y -5 20 25 30 35 40 45 50 55 60 65 e) (2) Give the meaningful domain for the revenue function. Use the criteria that one would not price widgets so low that one would pay to get rid of them. 5 10 15 (2)Calculate the…