A manufacturer determines that x units of a particular luxury item will be sold when the...
A manufacturer determines that x units of a particular luxury item will be sold when the price is p(x)=149-x ln(√x) hundred dollars per unit. Find the revenue and marginal revenue as functions of the number of units produced and sold.
The revenue is R(x)=__ hundred dollars
The marginal revenue is R'(x)=__ hundred dollars
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A manufacturer determines that x units of a particular luxury
item will be sold when the...
A manufacturer determines that x units of a particular luxury item will return a revenue R(x)...
A manufacturer determines that x units of a particular luxury item will return a revenue R(x) = 112 x-x^2 ln(x) hundred dollars. Evaluate R(4), R'(4), R''(4) and interpret each in the context of this situation
When x units of a certain luxury commodity are produced, they can all be sold at...
When x units of a certain luxury commodity are produced, they can all be sold at a price of p thousand dollars per unit, where p = -3x + 300. Part 1 out of 2 a. Express the revenue function R (x) as a function of x. How much revenue is obtained when x = 14 units are produced? R(x) = R (14) = dollars CHECK NEXT
A manufacturer determines that D(p) = 5,000e 0.27 units of a particular commodity will be demanded...
A manufacturer determines that D(p) = 5,000e 0.27 units of a particular commodity will be demanded (sold) when the price is p dollars per unit. a. (5 pts) Find the elasticity of demand for this commodity. For what values of p is the demand elastic, inelastic, and of unit elasticity. In other state the condition for p >1, p=1, p<1 b. (5 pts) Sketch the curve and label data from part a 5500 5000 4500 4000 3500 3000 2500 2000...
1. A manufacturer has found that when n employees are working, the number of units of...
1. A manufacturer has found that when n employees are working, the number of units of product produced per day is q = 107 m2 + 3600 - 600. The demand equation for the product is 90+ p- 7200 = 0, where p is the selling price in dollars when the demand for the product is q units per day. (a) Determine the manufacturers marginal revenue MR when n=80, i.e., the relative rate of change of revenue with respect to...
The revenue (in thousands of dollars) from producing x units of an item is modeled by...
The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 10x -0.005% a. Find the average rate of change in revenue as x changes from 1003 to 1007 b. Find the marginal revenue at x=600. a. The average rate of change in revenue is dollars per unit. (Do not round until the final answer. Then round to the nearest dollar as needed.) b. The marginal revenue is dollars per unit. (Do not...
(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...
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...
please show ALL STEPS and box answers, will thumbs up, Thanks! The price-demand and cost functions...
please show ALL STEPS and box answers, will thumbs up,
Thanks!
The price-demand and cost functions for the production of microwaves are given as 2 p=220 - 50 and C(2) = 16000 + 802, where x is the number of microwaves that can be sold at a price of p dollars per unit and C(x) is the total cost (in dollars) of producing a units. (A) Find the marginal cost as a function of x. C'(x) = 80 (B) Find...
The revenue function R(x) and the cost function C(x) for a particular product are given. These...
The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must be produced to break even. R(x) = 200x - 2x2 ; C(x) = - x2 + 5x + 8450 ; 0 ≤ x ≤100 The manufacturer must produce --------------- units to break even.
The revenue function R(x) and the cost function C(x) for a particular product are given. These...
The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must be produced to break even Rx)200x-x2 C)5x+8750:0sxs100 The manufacturer must produce units to break even.
When x units of a certain luxury commodity are produced, they can all be sold at a price of p thousand dollars per unit, where p = -3x + 300. Part 1 out of 2 a. Express the revenue function R (x) as a function of x. How much revenue is obtained when x = 14 units are produced? R(x) = R (14) = dollars CHECK NEXT
A manufacturer determines that D(p) = 5,000e 0.27 units of a particular commodity will be demanded (sold) when the price is p dollars per unit. a. (5 pts) Find the elasticity of demand for this commodity. For what values of p is the demand elastic, inelastic, and of unit elasticity. In other state the condition for p >1, p=1, p<1 b. (5 pts) Sketch the curve and label data from part a 5500 5000 4500 4000 3500 3000 2500 2000...
1. A manufacturer has found that when n employees are working, the number of units of product produced per day is q = 107 m2 + 3600 - 600. The demand equation for the product is 90+ p- 7200 = 0, where p is the selling price in dollars when the demand for the product is q units per day. (a) Determine the manufacturers marginal revenue MR when n=80, i.e., the relative rate of change of revenue with respect to...
The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 10x -0.005% a. Find the average rate of change in revenue as x changes from 1003 to 1007 b. Find the marginal revenue at x=600. a. The average rate of change in revenue is dollars per unit. (Do not round until the final answer. Then round to the nearest dollar as needed.) b. The marginal revenue is dollars per unit. (Do not...
(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...
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...
please show ALL STEPS and box answers, will thumbs up,
Thanks!
The price-demand and cost functions for the production of microwaves are given as 2 p=220 - 50 and C(2) = 16000 + 802, where x is the number of microwaves that can be sold at a price of p dollars per unit and C(x) is the total cost (in dollars) of producing a units. (A) Find the marginal cost as a function of x. C'(x) = 80 (B) Find...
The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must be produced to break even Rx)200x-x2 C)5x+8750:0sxs100 The manufacturer must produce units to break even.
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