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- A toy company is trying to determine the optimal price for their weekly supply to meet the demand for a toy they are about to release. They estimate that the supply function follows p= 0.006q^2 + 0.14q+ 8.62 and the demand function follows p= -1.25q+ 65 , where p is the price of the toy (in dollars) and q is the weekly quantity of the toy (in hundreds). If the company tries to sell the toy for $24, will there be a shortage or surplus of toys each week?The aggregate demand for a cup of coffee in Chicago is given by q = 4,000 - 500 p, where p is the price of a cup of coffee. If the price is $4, then the price elasticity of demand for coffee isProducers' Surplus The demand function for a certain brand of CD is given by p = −0.01x2 − 0.2x + 7 where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. The supply function is given by p = 0.01x2 + 0.1x + 2 where p is the unit price in dollars and x stands for the quantity that will be made available in the market by the supplier, measured in units of a thousand. Determine the producers' surplus if the market price is set at the equilibrium price. (Round your answer to the nearest dollar.) $
- Demand for apples is given by the function P=50-4q while supply is given by P=10+q. If a per-unit tax of $15 is placed on apples, What is new price after tax?The marketing department of a business has determined that the demand for a product can be modeled by p=2000−10x, where p is the price per unit (in dollars) and x is the number of units. The cost (in dollars) of a producing x units is given by C=2000+500x. What price will yield a maximum profit?Assuming a supply function of Qs = 100+100p and a demand function of Qd = 700-50p and an equilibrium price of $4 with an equilibrium quantity of 500million gallons please answer the following
- The demand and supply functions for your college newspaper are, q = −8,000p + 2,700 and q = 3,000p + 500, respectively, where p is the price in dollars. At what price should the newspapers be sold so that there is neither a surplus nor a shortage of papers? $Suppose a producer sells 1000 units of a product at $5 per unit one year, 2000 units at $8 the next year, and 3000 units at $10 the third year. Is this evidence that the law of demand is violated? Explain.The demand function for a certain brand of CD is given by p = -0.01x^2 - 0.2x +10 where p is the unit price in dollars and x stands for the quantity that will be made available in the market by the supplier, measured in units of a thousand. Determiine the producer's surplus if the market price is set at the equilibrium price. (round answer to neareset dollar) P = 0.01x^2 + 0.4x +2
- The supply function for Gizmos is given by the equation P=0.66⋅Q+11P=0.66⋅Q+11, and the demand function is given by the equation P=13−0.34⋅QP=13-0.34⋅Q. Find the market equilibrium price for Gizmos.Your firm has previously modeled revenue for your local production line. Given that total revenue is equal to price (P) times quantity (Q), you wish to estimate the level of production at which revenue is maximized. You know that market demand is equal to: Q = 486 - 4P Find the level of production to the first decimal point that maximizes total revenue.In this problem, p is in dollars and x is the number of units. If the demand function for a product is p = 28/(x + 1) and the supply function is p = 1 + 0.2x, find the consumer's surplus under pure competition. (Round your answer to two decimal places.)