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e marginal revenue for producing x units for the function R s units for the functionR-o...
The table shows the marginal cost C'(x), the marginal revenue R'(x) for producing x items. The...
The table shows the marginal cost C'(x), the marginal revenue R'(x) for producing x items. The third column, P'(x), is partially completed. All values are in dollars per item. (a) Complete the remaining entries in the third column. (b) What does the table tell you about the revenue function? (c) Find the production level that maximizes profit. P'(x) -21 O 43 NOT 64 10 43 43 40 16 43 70 43 43 90208143 43 - 165
3. The revenue function for a sound system is R(x) = 200x - x? dollars where...
3. The revenue function for a sound system is R(x) = 200x - x? dollars where x denotes the number of units sold. (a) What is the expression that gives marginal revenue? Solution: R(x) = 200x – x2 Expression that gives marginal revenue is R(x) = 200 – 2x. (b) What is the marginal revenue if 50 units are sold? Solution: 200 – 2(50) = 100
linear revenue function is R = 34x. (Assume R is measured in dollars.) (a) What is...
linear revenue function is R = 34x. (Assume R is measured in dollars.) (a) What is the slope m? m = (b) What is the marginal revenue MR? MR = What does the marginal revenue mean? 0 If the number of units sold is increased by this amount, the revenue decreases by O If the number of units sold is increased by this amount, the revenue increases by O Each additional unit sold decreases the revenue by this many dollars....
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...
In a monopoly market the revenue from selling x units is given by R(x) = 10.5x2...
In a monopoly market the revenue from selling x units is given by R(x) = 10.5x2 e-0.55 a. Find the marginal revenue when x = 5 units. b. Use the marginal revenue function to find the value of x that will yield the maximum revenue. C. Graph the revenue function.
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. =X (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is...
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- x2, C(x)=20x+6500, 0 less than or equals X less than or equals 100.The manufacturer must produce ---- units to break even.
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is the...
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...
The total-cost, C(x), and total revenue, R(x), functions for producing x items are shown below, where...
The total-cost, C(x), and total revenue, R(x), functions for producing x items are shown below, where 0 SXS 800 C(x) = 5900 + 100x and R(x) = - + 600X a) Find the total-profit function P(x). b) Find the number of items, x, for which the total profit is a maximum a) P(x) = b) The profit is maximized for a production of units
The table shows the marginal cost C'(x), the marginal revenue R'(x) for producing x items. The third column, P'(x), is partially completed. All values are in dollars per item. (a) Complete the remaining entries in the third column. (b) What does the table tell you about the revenue function? (c) Find the production level that maximizes profit. P'(x) -21 O 43 NOT 64 10 43 43 40 16 43 70 43 43 90208143 43 - 165
3. The revenue function for a sound system is R(x) = 200x - x? dollars where x denotes the number of units sold. (a) What is the expression that gives marginal revenue? Solution: R(x) = 200x – x2 Expression that gives marginal revenue is R(x) = 200 – 2x. (b) What is the marginal revenue if 50 units are sold? Solution: 200 – 2(50) = 100
linear revenue function is R = 34x. (Assume R is measured in dollars.) (a) What is the slope m? m = (b) What is the marginal revenue MR? MR = What does the marginal revenue mean? 0 If the number of units sold is increased by this amount, the revenue decreases by O If the number of units sold is increased by this amount, the revenue increases by O Each additional unit sold decreases the revenue by this many dollars....
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...
In a monopoly market the revenue from selling x units is given by R(x) = 10.5x2 e-0.55 a. Find the marginal revenue when x = 5 units. b. Use the marginal revenue function to find the value of x that will yield the maximum revenue. C. Graph the revenue function.
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. =X (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is the...
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...
The total-cost, C(x), and total revenue, R(x), functions for producing x items are shown below, where 0 SXS 800 C(x) = 5900 + 100x and R(x) = - + 600X a) Find the total-profit function P(x). b) Find the number of items, x, for which the total profit is a maximum a) P(x) = b) The profit is maximized for a production of units
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