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2. A commodity has a demand function modeled by p = 1700 -0.016, and a total...
Please help on my elementary calculus hw :) - Stephany 2. A commodity has a demand...
Please help on my elementary calculus hw :) - Stephany
2. A commodity has a demand function modeled by p = 1700 -0.016x, and a total cost function modeled by C = 715,000 + 240x. (a) Find the profit and marginal profit at 2 = 700 units. (b) What price yields the maximum profit. (c) Use differentials to approximate the change in profit as the number of units sold changes from 500 units to 525 units. 3. Use implicit differentiation...
A commodity has a demand function modeled by p = 280 − 0.4x, and a total...
A commodity has a demand function modeled by p = 280 − 0.4x, and a total cost function modeled by C = 80x + 120, where x is the number of units. (a) What price yields a maximum profit? (b) Find the average cost per unit when x = 50 and x = 650. (c) Determine when the demand is elastic, inelastic, and of unit elasticity. (d) Use differentials to approximate the change in revenue as sales increase from 210...
A commodity has a demand function modeled by p=280 -0.44, and a total cost function modeled...
A commodity has a demand function modeled by p=280 -0.44, and a total cost function modeled by C-80g + 120, where is the member of units. ) What price yields a maximum profil? $24880 b) Find the average cost per unit when - 50. - inelastic x1 and of unit elasticity Determine when the demand is elastic (Une interval notations only, where applicable) Uwe differentials to approximate the change in revenue as sales increase from 210 units to 220 units....
2. Suppose the demand function relating demand and price is given by pix)- 50-0.005x. The total...
2. Suppose the demand function relating demand and price is given by pix)- 50-0.005x. The total cost of making x units is given by C )-0.00001 x3-0,033 x2+48x+5,000 a) Find the revenue function R(x). b) Find the profit function P(x). c) How many units must be made and sold to maximize profit? Verify that you have found the maximum using d) e) f) the first derivative test. What is the maximum profit? What are the marginal cost, marginal revenue and...
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.
Financial Mathematics Please answer question 4 and question 5 o)23:30 Oe Image Edit View Go Help En Question 4 The total cost of producing x units of a commodity per week is C(x) 200 +4x +0,1x2 (a) Fi...
Financial Mathematics
Please answer question 4 and question 5
o)23:30 Oe Image Edit View Go Help En Question 4 The total cost of producing x units of a commodity per week is C(x) 200 +4x +0,1x2 (a) Find the marginal cost when the production level is 100 units. (b) Use the marginal cost to approximate the cost of producing the 101 st unit. (c) Find the exact cost of producing the 101 st unit. (d) Assuming that the commodity is...
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
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
Because the derivative of a function represents both the slope of the tangent to the curve...
Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. Consider the graph of the function y = f(x) given in the figure. (a) Over what interval(s) (a) through (d) is the rate of change of f(x) positive? (Select all that apply.) OOOO (b) Over what interval(s) (a) through (d) is...
(1 point) The price-demand and cost functions for the production of microwaves are given as P=240-...
(1 point) The price-demand and cost functions for the production of microwaves are given as P=240- C(x) = 46000 + 40., is the number of microwaves that can be sold at a price of p dollars per unit and C where units. ) is the total cost (in dollars) of producing (A) Find the marginal cost as a function of C'(x) = (B) Find the revenue function in terms R(x) = (C) Find the marginal revenue function in terms of...
Please help on my elementary calculus hw :) - Stephany
2. A commodity has a demand function modeled by p = 1700 -0.016x, and a total cost function modeled by C = 715,000 + 240x. (a) Find the profit and marginal profit at 2 = 700 units. (b) What price yields the maximum profit. (c) Use differentials to approximate the change in profit as the number of units sold changes from 500 units to 525 units. 3. Use implicit differentiation...
A commodity has a demand function modeled by p=280 -0.44, and a total cost function modeled by C-80g + 120, where is the member of units. ) What price yields a maximum profil? $24880 b) Find the average cost per unit when - 50. - inelastic x1 and of unit elasticity Determine when the demand is elastic (Une interval notations only, where applicable) Uwe differentials to approximate the change in revenue as sales increase from 210 units to 220 units....
2. Suppose the demand function relating demand and price is given by pix)- 50-0.005x. The total cost of making x units is given by C )-0.00001 x3-0,033 x2+48x+5,000 a) Find the revenue function R(x). b) Find the profit function P(x). c) How many units must be made and sold to maximize profit? Verify that you have found the maximum using d) e) f) the first derivative test. What is the maximum profit? What are the marginal cost, marginal revenue and...
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.
Financial Mathematics
Please answer question 4 and question 5
o)23:30 Oe Image Edit View Go Help En Question 4 The total cost of producing x units of a commodity per week is C(x) 200 +4x +0,1x2 (a) Find the marginal cost when the production level is 100 units. (b) Use the marginal cost to approximate the cost of producing the 101 st unit. (c) Find the exact cost of producing the 101 st unit. (d) Assuming that the commodity is...
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
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
Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. Consider the graph of the function y = f(x) given in the figure. (a) Over what interval(s) (a) through (d) is the rate of change of f(x) positive? (Select all that apply.) OOOO (b) Over what interval(s) (a) through (d) is...
(1 point) The price-demand and cost functions for the production of microwaves are given as P=240- C(x) = 46000 + 40., is the number of microwaves that can be sold at a price of p dollars per unit and C where units. ) is the total cost (in dollars) of producing (A) Find the marginal cost as a function of C'(x) = (B) Find the revenue function in terms R(x) = (C) Find the marginal revenue function in terms of...
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