For this week's Excel assignment I would like you to calculate the profit and marginal profit when the revenue R(x) and cost C(x) functions are described by the following equations: R100 5000x x 3000-20x + 0.03x2 where x is the number of units produced Create a table of values for x, R(x), C(x), P(x) and P'(x). Plot the data for P(x) and P'(x) using the smooth continuous curve option in Excel (see attached screen shot) Maps PivotChart 3D Recommended Charts Map Tours Scatter 0 Bubble H: More Scatter Charts The minimum number of points is: x = 500 units, 875 units and 1000 units. Make sure to show your equations for profit P(x) and marginal profit P(x) in your Excel spreadsheet. Also, make sure you pick enough values of x to capture the true shape of the curve. The x values listed above are the minimum number of points (Hint, something unique may be happening at these points, therefore pick more points to make sure you have the true shape of the profit and marginal profit curves.) Questions: (1) Does P(x) reach a peak? (2) What is the peak value? (3) What is the value for x? (4) What is the value for P(x)?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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R(x) = 5000x  x2100R(x) = 5000x - x2100 {"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mfrac><mrow><mn>5000</mn><mi>x</mi><mo>&#xA0;</mo><mo>-</mo><mo>&#xA0;</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mn>100</mn></mfrac></math>"}

C(x) = 3000  20x + 0.03x2C(x) = 3000 - 20x + 0.03x2 {"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mn>3000</mn><mo>&#xA0;</mo><mo>-</mo><mo>&#xA0;</mo><mn>20</mn><mi>x</mi><mo>&#xA0;</mo><mo>+</mo><mo>&#xA0;</mo><mn>0</mn><mo>.</mo><mn>03</mn><msup><mi>x</mi><mn>2</mn></msup></hi my

For this week's Excel assignment I would like you to calculate the profit and marginal profit when the revenue R(x) and cost C(x) functions are described by
the following equations:
R100
5000x x
3000-20x + 0.03x2
where x is the number of units produced
Create a table of values for x, R(x), C(x), P(x) and P'(x). Plot the data for P(x) and P'(x) using the smooth continuous curve option in Excel (see attached screen
shot)
Maps PivotChart 3D
Recommended
Charts
Map
Tours
Scatter
0
Bubble
H:
More Scatter Charts
The minimum number of points is:
x = 500 units, 875 units and 1000 units.
Make sure to show your equations for profit P(x) and marginal profit P(x) in your Excel spreadsheet. Also, make sure you pick enough values of x to capture
the true shape of the curve. The x values listed above are the minimum number of points (Hint, something unique may be happening at these points,
therefore pick more points to make sure you have the true shape of the profit and marginal profit curves.)
Questions:
(1) Does P(x) reach a peak?
(2) What is the peak value?
(3) What is the value for x?
(4) What is the value for P(x)?
Transcribed Image Text:For this week's Excel assignment I would like you to calculate the profit and marginal profit when the revenue R(x) and cost C(x) functions are described by the following equations: R100 5000x x 3000-20x + 0.03x2 where x is the number of units produced Create a table of values for x, R(x), C(x), P(x) and P'(x). Plot the data for P(x) and P'(x) using the smooth continuous curve option in Excel (see attached screen shot) Maps PivotChart 3D Recommended Charts Map Tours Scatter 0 Bubble H: More Scatter Charts The minimum number of points is: x = 500 units, 875 units and 1000 units. Make sure to show your equations for profit P(x) and marginal profit P(x) in your Excel spreadsheet. Also, make sure you pick enough values of x to capture the true shape of the curve. The x values listed above are the minimum number of points (Hint, something unique may be happening at these points, therefore pick more points to make sure you have the true shape of the profit and marginal profit curves.) Questions: (1) Does P(x) reach a peak? (2) What is the peak value? (3) What is the value for x? (4) What is the value for P(x)?
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