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Average Price of a Commodity The price of a certain commodity in dollars per unit at...
5) When the price of a certain commodity is p dollars per unit, customers demand r hundred units ...
5) When the price of a certain commodity is p dollars per unit, customers demand r hundred units of the commodity, where How fast is the demand r changing with respect to time when the price is $6 per unit and decreasing at the rate of 25 cents per month? 1 6) The output at a certain plant is Q-0.09r20.12ry+0.04y2 units per day, where z is the number of hours of skilled labor used and y is the number of...
The demand function for a certain commodity is given by p 100e2. (p is the price...
The demand function for a certain commodity is given by p 100e2. (p is the price per unit and q is the number of units.) (a) At what price per unit will the quantity demanded equal 4 units? (Round your answer to the nearest cent.) (b) If the price is $2.95 per unit, how many units will be demanded, to the nearest unit? units
14. Suppose that when the price of a certain commodity is p dollars per unit, then...
14. Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, where = -0.05 x + 38 The cost of producing x hundred units is hundred dollars is C(x) = 0.02x2 + 3x + 574.77 hundred dollars a. Express the profit P obtained from the sale of x hundred units as a function of x. Sketch the graph of the profit function. b. Use the profit curve...
The demand function for a certain commodity is given by p = 100e-9/2. (p is the...
The demand function for a certain commodity is given by p = 100e-9/2. (p is the price per unit and q is the number of units.) (a) At what price per unit will the quantity demanded equal 4 units? (Round your answer to the nearest cent.) $ (b) If the price is $1.99 per unit, how many units will be demanded, to the nearest unit? units
5. Suppose that X the price of a certain commodity (in dollars), and Y, its total...
5. Suppose that X the price of a certain commodity (in dollars), and Y, its total sales (in 10000 units), are random variables whose joint probability distribution is given by the following going PDF 5xe-rV :0.20< <0.40,y>0 x.y(x,y)ootherwise Use the CDF method to find and identify the distribution of V-XY, the total amount of money (in S10000 units) that is spent on this commodity
Let Qd be the number of units of a commodity demanded by consumers at a given time t and let Qsdenote the number of units of the commodity supplied by producers at a given time t. Let p be the price i...
Let Qd be the number of units of a commodity demanded by consumers at a given time t and let Qsdenote the number of units of the commodity supplied by producers at a given time t. Let p be the price in dollars of the commodity at time t. Suppose the supply and demand functions for a certain commodity in a competitive market are given, in hundreds of units, by Qs = 30 + p + 5 dp/dt Qd =...
At a unit price of $768, the quantity demanded of a certain commodity is 73 pounds....
At a unit price of $768, the quantity demanded of a certain commodity is 73 pounds. If the unit price increases to $844, the quantity demanded decreases by 19 pounds. Find the demand equation (assuming it is linear) where p is the unit price and x is the quantity demanded for this commodity in pounds. p = ? At what price are no consumers willing to buy this commodity? $ According to the above model, how many pounds of this...
D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a...
D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D(x)- (x-82, s(x)-x2+4x+4 (a) What are the coordinates of the equilibrium point? (Type an ordered pair.) (b) What is the...
A stock analyst plots the price per share of a certain common stock as a function...
A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated by the function S(t) = 27 + 10 e 0.05, where t is the time (in years) since the stock was purchased. Find the average price of the stock over the first five years. The average price of the stock is $ (Round to the nearest cent as needed.) Enter your answer in the answer...
2.If C(x) is the cost of producing x units of a commodity, then the average cost...
2.If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost function C(x) given below. C(x) = 24,000 + 290x + 6x3/2 (a) Find the total cost at a production level of 1000 units. (Round your answer to the nearest cent.) $ (b) Find the average cost at a production level of 1000 units. (Round your answer to the nearest cent.) $ per unit (c) Find...
5) When the price of a certain commodity is p dollars per unit, customers demand r hundred units of the commodity, where How fast is the demand r changing with respect to time when the price is $6 per unit and decreasing at the rate of 25 cents per month? 1 6) The output at a certain plant is Q-0.09r20.12ry+0.04y2 units per day, where z is the number of hours of skilled labor used and y is the number of...
The demand function for a certain commodity is given by p 100e2. (p is the price per unit and q is the number of units.) (a) At what price per unit will the quantity demanded equal 4 units? (Round your answer to the nearest cent.) (b) If the price is $2.95 per unit, how many units will be demanded, to the nearest unit? units
14. Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, where = -0.05 x + 38 The cost of producing x hundred units is hundred dollars is C(x) = 0.02x2 + 3x + 574.77 hundred dollars a. Express the profit P obtained from the sale of x hundred units as a function of x. Sketch the graph of the profit function. b. Use the profit curve...
The demand function for a certain commodity is given by p = 100e-9/2. (p is the price per unit and q is the number of units.) (a) At what price per unit will the quantity demanded equal 4 units? (Round your answer to the nearest cent.) $ (b) If the price is $1.99 per unit, how many units will be demanded, to the nearest unit? units
5. Suppose that X the price of a certain commodity (in dollars), and Y, its total sales (in 10000 units), are random variables whose joint probability distribution is given by the following going PDF 5xe-rV :0.20< <0.40,y>0 x.y(x,y)ootherwise Use the CDF method to find and identify the distribution of V-XY, the total amount of money (in S10000 units) that is spent on this commodity
D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D(x)- (x-82, s(x)-x2+4x+4 (a) What are the coordinates of the equilibrium point? (Type an ordered pair.) (b) What is the...
A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated by the function S(t) = 27 + 10 e 0.05, where t is the time (in years) since the stock was purchased. Find the average price of the stock over the first five years. The average price of the stock is $ (Round to the nearest cent as needed.) Enter your answer in the answer...
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