The demand x for a web camera is 35,000 units per month when the price is $20 and 40,000 units when the price is $15. The initial investment is $275,000 and the cost per unit is $14. Assume that the d...
The demand x for a web camera is 35,000 units per month when the price is $20 and 40,000 units when the price is $15. The initial investment is $275,000 and the cost per unit is $14. Assume that the demand is a linear function of the price. Find the profit P, in dollars, as a function of x. P(x) = Using the differential approximate the change in profit for a one-unit increase in sales when x = 22,000. dP = dollars
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The demand x for a web camera is 35,000 units per month when the price is $20 and 40,000 units when the price is $15. The initial investment is $275,000 and the cost per unit is $14. Assume that the d...
Suppose that the supply of x units of a product at price p dollars per unit...
Suppose that the supply of x units of a product at price p dollars per unit is given by the following. p = 30 + 60 In(8x + 2) (a) Find the rate of change of supply price with respect to the number of units supplied. dp dx = (b) Find the rate of change of supply price when the number of units is 31. $ (c) Approximate the price increase associated with the number of units supplied changing from...
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...
Find the price-demand function if the unit price of a product is $98.00, when the quantity demand...
Find the price-demand function if the unit price of a product is $98.00, when the quantity demanded is 10 units, and the unit price is $68.00 when the quantity demanded is 20 units. ii) What is the unit price of this product for a demand of 25 units? iii) Using price-demand function p(x) =-x+38, and cost function C (x) =9x+100 find: a) The break-even points b) The range of demand that ensures a profit and loss is made. c) The...
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...
14) The demand equation for a monopolist's product is p = 200 - 0.989, where p is the price per unit (in dollars) of pr...
14) The demand equation for a monopolist's product is p = 200 - 0.989, where p is the price per unit (in dollars) of producing q units. If the total cost c (in dollars) of producing 8 units is given by c= 0.02q2 + 2q + 8000, find the level of production at which profit is maximized. 15) The demand function for a monopolist's product is p = 100 – 39, where p is the price per unit (in dollars)...
The demand function for a product is p= 108 - 0.2x where p is the price...
The demand function for a product is p= 108 - 0.2x where p is the price per unit(in dollars) and x is the number of units. a. Use differentials to approximate the change in revenue as sales increase from 20 units to 21 units. Compare this the actual change in revenue. b. Repeat step (a) when sales increase from 40 units to 41 units.
15. Suppose demand, D, for a good is a linear function of its price per unit,...
15. Suppose demand, D, for a good is a linear function of its price per unit, P. When price is $20, demand 16. A certain firm posted an ad for a sales representative position paying S36,000 base salary plus a. What commission rate (as a percent of sales) must he earn to make $63,000 per year? is 100 units, and when price is $10, demand is 150 units. Find the demand function. commission. Based on his past experience, a salesman...
The quantity demanded each month of Russo Espresso Makers is 250 when the unit price is...
The quantity demanded each month of Russo Espresso Makers is 250 when the unit price is $136. The quantity demanded each month is 1000 when the unit price is $106. 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 = -0.04x + 145 (b)...
The profit P (in dollars) from selling x units of a product is given by the function below. P 35,000+2077 x 8x2 15...
The profit P (in dollars) from selling x units of a product is given by the function below. P 35,000+2077 x 8x2 150 x s 275 Find the marginal profit for each of the following sales. (Round your answers to two decimal places.) (a) = 150 P(150) $ (b) x 175 P(175)$ (c) X-200 P(200) $ (d) X 225 P(225) $ (e) x250 P(250) $ (f x275 P(275) $ Need Help? Read It Watch It Talk to a Tutor The...
he quantity demanded each week x (in units of a hundred) of the Mikado digital camera is related to the unit price p (in dollars) by the demand equation
x = 400 − 5p(0 ≤ p ≤ 80). (a)Is the demand elastic or inelastic when p = 50? Is the demand elastic or inelastic when p = 60? (b)When is the demand unitary? (c)If the unit price is lowered slightly from $60, will the revenue increase or decrease? (d)If the unit price is increased slightly from $50, will the revenue increase or decrease?
Suppose that the supply of x units of a product at price p dollars per unit is given by the following. p = 30 + 60 In(8x + 2) (a) Find the rate of change of supply price with respect to the number of units supplied. dp dx = (b) Find the rate of change of supply price when the number of units is 31. $ (c) Approximate the price increase associated with the number of units supplied changing from...
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...
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...
14) The demand equation for a monopolist's product is p = 200 - 0.989, where p is the price per unit (in dollars) of producing q units. If the total cost c (in dollars) of producing 8 units is given by c= 0.02q2 + 2q + 8000, find the level of production at which profit is maximized. 15) The demand function for a monopolist's product is p = 100 – 39, where p is the price per unit (in dollars)...
The demand function for a product is p= 108 - 0.2x where p is the price per unit(in dollars) and x is the number of units. a. Use differentials to approximate the change in revenue as sales increase from 20 units to 21 units. Compare this the actual change in revenue. b. Repeat step (a) when sales increase from 40 units to 41 units.
15. Suppose demand, D, for a good is a linear function of its price per unit, P. When price is $20, demand 16. A certain firm posted an ad for a sales representative position paying S36,000 base salary plus a. What commission rate (as a percent of sales) must he earn to make $63,000 per year? is 100 units, and when price is $10, demand is 150 units. Find the demand function. commission. Based on his past experience, a salesman...
The quantity demanded each month of Russo Espresso Makers is 250 when the unit price is $136. The quantity demanded each month is 1000 when the unit price is $106. 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 = -0.04x + 145 (b)...
The profit P (in dollars) from selling x units of a product is given by the function below. P 35,000+2077 x 8x2 150 x s 275 Find the marginal profit for each of the following sales. (Round your answers to two decimal places.) (a) = 150 P(150) $ (b) x 175 P(175)$ (c) X-200 P(200) $ (d) X 225 P(225) $ (e) x250 P(250) $ (f x275 P(275) $ Need Help? Read It Watch It Talk to a Tutor The...
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