The demand equation for a certain product is given by p = f(q) = 25/3q2 +2...
The demand equation for a certain product is given by
p = f(q) = 25/3q2 +2
where p is the unit price in dollars and q is the quantity demanded each year, measured in thousands of units. It is expected that the demand will be 2000 units for the year, with a maximum error of 10%. What is the maximum error in the predicted price?
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The demand equation for a certain product is given by
p = f(q) = 25/3q2 +2...
The demand function for a certain brand of CD is given by p--00-02 where p is...
The demand function for a certain brand of CD is given by p--00-02 where p is the wholesale unit price in dollars and is the quantity demanded each work, measured in units of a thousand. The supply function is given by p=0.01.x+4 Where is the unit wholesale price in dollars and stands for the quantity that will be made available in the market by the per measured in units of thousand. Determine the producere's the wholesale market price is set...
10,000 where p is the price per 12) The demand equation for a monopolist's product is p q225 unit (in dollars) when q u...
10,000 where p is the price per 12) The demand equation for a monopolist's product is p q225 unit (in dollars) when q units are demanded. (a) Determine the value of q for which revenue is maximum. (b) What is the maximum revenue? 13) A manufacturer found that the total cost c of producing q units of a product is given by c 0.02q22800. At what level of production will average cost be a minimum?
66. DEMAND FOR COMMODITIES Assume that the demand func tion for a certain commodity has the...
66. DEMAND FOR COMMODITIES Assume that the demand func tion for a certain commodity has the form ax+ where x is the quantity demanded, measured in units of a thousand and p is the unit price in dollars. Suppose the quantity demanded is 6000 ( 6) when the unit price is $8 and 8000 (x = 8) when the unit price is $6. Determine the demand equation. What is the quantity demanded when the unit price is set at $7.50?
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
Please solve all of them. 7. The revenue function for a product is given by 60x2...
Please solve all of them.
7. The revenue function for a product is given by 60x2 R(x) = 2x+1 a. Find the marginal revenue function The price of a product in a competitive market is $300. The cost per unit of producing the product is 160 + 0.1% dollars, where x is the number of units produced per month a. Find the marginal cost function. b. Find the marginal revenue function b. Find MR(100) and interpret your results. c. Find...
Problem #4: The demand equation for a product is given by p-250-0.1qdollars per unit where q is t...
Problem #4: The demand equation for a product is given by p-250-0.1qdollars per unit where q is the number of units demanded. a. If the cost of producing q units is given by C(g)-1000+80q+0.15q find the profit function. b. Use CALCULUS to estimate the cost to produce the 77th unit. How does this compare with the EXACT cost of producing the 77th unit? Include correct units. Do not round values c. Compute the marginal profit of the 100th unit. Does...
The demand function for a certain product is given by
The demand function for a certain product is given by p = 500 + 1000/(q+1)where p is the price and q is the number of units demanded. Find the average price as demand ranges from 43 to 98 units. (Round your answer to the nearest cent.)
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
The demand function for a Christmas music CD is given by q=D(p)=0.25(225−p2) where qq (measured in...
The demand function for a Christmas music CD is given by q=D(p)=0.25(225−p2) where qq (measured in units of a hundred) is the quantity demanded per week and pp is the unit price in dollars. (a) Find the elasticity function E(p)= (b) Evaluate the elasticity at 10. E(10)= (c) Should the unit price be lowered slightly from 10 in order to increase revenue? ? yes no (d) Use the elasticity of demand to find the price which maximizes revenue for this product. p= dollars...
The demand function for a certain model of Blu-ray player is given by p = 900 0.5x + 2 wh...
The demand function for a certain model of Blu-ray player is given by p = 900 0.5x + 2 where p is the unit price in dollars and x (in units of a thousand) is the quantity demanded per week. What is the consumers' surplus if the selling price is set at $300/unit? (Round your answer to the nearest dollar.)
The demand function for a certain brand of CD is given by p--00-02 where p is the wholesale unit price in dollars and is the quantity demanded each work, measured in units of a thousand. The supply function is given by p=0.01.x+4 Where is the unit wholesale price in dollars and stands for the quantity that will be made available in the market by the per measured in units of thousand. Determine the producere's the wholesale market price is set...
10,000 where p is the price per 12) The demand equation for a monopolist's product is p q225 unit (in dollars) when q units are demanded. (a) Determine the value of q for which revenue is maximum. (b) What is the maximum revenue? 13) A manufacturer found that the total cost c of producing q units of a product is given by c 0.02q22800. At what level of production will average cost be a minimum?
66. DEMAND FOR COMMODITIES Assume that the demand func tion for a certain commodity has the form ax+ where x is the quantity demanded, measured in units of a thousand and p is the unit price in dollars. Suppose the quantity demanded is 6000 ( 6) when the unit price is $8 and 8000 (x = 8) when the unit price is $6. Determine the demand equation. What is the quantity demanded when the unit price is set at $7.50?
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
Please solve all of them.
7. The revenue function for a product is given by 60x2 R(x) = 2x+1 a. Find the marginal revenue function The price of a product in a competitive market is $300. The cost per unit of producing the product is 160 + 0.1% dollars, where x is the number of units produced per month a. Find the marginal cost function. b. Find the marginal revenue function b. Find MR(100) and interpret your results. c. Find...
Problem #4: The demand equation for a product is given by p-250-0.1qdollars per unit where q is the number of units demanded. a. If the cost of producing q units is given by C(g)-1000+80q+0.15q find the profit function. b. Use CALCULUS to estimate the cost to produce the 77th unit. How does this compare with the EXACT cost of producing the 77th unit? Include correct units. Do not round values c. Compute the marginal profit of the 100th unit. Does...
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
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