Let the demand and supply functions for a given commodity be Q = a - ßp Q=-y+ p where (a, B, 8, y> 0) and Q and Q, are quantity demanded and quantity supplied
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- The table below gives the quantity of fancy widgets demanded and the quantity supplied for selected prices. (a) Find the linear equation that gives the price as a function of the quantity demanded. (b) Find the linear equation that gives the price as a function of the quantity supplied. (c) Use these equations to find the market equilibrium price. Price Quantity ($) Demanded (thousands) Supplied (thousands) 40 50 60 70 100 Quantity 270 250 230 210 150 0 160 320 480 960 C (a) What is the price as a function of the quantity demanded? p=0 (Type an expression using q as the variable. Type your answer in slope-intercept form.) (b) What is the price as a function of the quantity supplied? p= (Type an expression using q as the variable. Type your answer in slope-intercept form.) (c) What is the market equilibrium price?▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪ 03: If the supply and demand functions for a commodity are 100+ 2(4 + Pa = -(Q.) P₁ = (Q + 2)² E plot each function on the same graph Estimate the equitum pana and quantity signhramaly and graphicaly **********‒‒‒‒‒‒‒‒‒‒‒‒‒Assume that demand and supply are a simple line. If at the different prices, quantity of demand and price is shows as under, then determine the demand and supply equation. Demand (D) Supply (S) Price (P) 2 40 50 5 20 60
- Task 2: Answer the following: A=18 The following table gives the daily supply and demand for snacks at a sporting event: Price (R.O) Quantity demanded Quantity Supplied 2.000 400 3000 1.500 1000 2400 P (A + 500) – (2 × A)P (A + 300) + (4 × A)P 0.950 3240 5300 a. If the quantity demanded and supplied are equalized at P. Find the value of P. b. If the organizers of the sporting event decide to set the price at 1.500, how many snacks will be sold?Graphically illustrate how the demand curve for electric vehicles will be affected in each of these cases below.(a) A major climate change awareness campaign is instituted which teaches consumers about clean energy vehicles. (b) The price of gas-powered vehicles falls significantly, due to lower costs of production. (c) Gas prices experience a significant and long-standing increase.(d) The price of electric vehicles falls due to a fall in the cost of production.Question 1 Think about the market for chocolate bars. Market research has revealed the demand and supply equations as follows: QD 1600- 200P Qs = 100+ 100P Where, P is the price in £ (UK pounds), QD and Qs are quantity demanded and supplied for the product, respectively. C) Compute the price elasticity of demand between the price of £3 and £4. Use the mid-point (arc) method (use 2 decimal places). D) If the market price is now at £3, should a chocolate bar firm increase its price to increase its total revenue? Explain why or why not. E) Give an example of an event that will shift the supply curve for the chocolate bars left. Explain the process of market adjustments after the shift in words and in a graph.
- Suppose that demand and supply of apples are described by the following equations: P = 100 - 3Q (demand) P = 20 + Q (supply) a) Calculate the equilibrium quantity.Demand and supply in a market are described by the equation: Qd=66-3P Qs=-4+2P Solvealgebraically to find equilibrium price and quantity.Q: How does the equilibrium price of a product vary if the demand for this product does not change and at the same time the production costs increase?
- State the processes performed when demand is predicted to be greater than supply.The demand and supply functions for a particular commodity are D(x) = 80e-0.001x and S(x)= 30e0.001r , where x is the number of units of the product, D(x) is the price that results in a consumer demand of x units and S(x) is the price that results in a producer supply of x units. a. Find the equilibrium point using your calculator and identify the equilibrium units and price. Give your answers to the nearest whole unit and nearest dollar. The value of x at equilibrium is units. The value of p at equilibrium is b. Determine the consumers' surplus.The Unique Gifts catalog lists a "super loud and vibrating alarm clock." Their records indicate the following information on the relation of monthly supply and demand quantities to the price of the clock. Demand Supply Price 166 131 $31 146 181 $43 Use this information to find the following. (a) points on the demand linear equation (x, p) (smaller x-value) (х, р) %3 (larger x-value) points on the supply linear equation (х, р) (smaller x-value) (x, p) = ( ) (larger x-value) (b) the demand equation p = (c) the supply equation p (d) the equilibrium quantity and price Equilibrium occurs when the price of the clock is $ and the quantity is