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III) Suppose for this question that C(x) = 0.00015 x+0.11 x? + 79.5 x + 20300 is an mage formula for the model cost function for producing a certain item. Suppose also that D(x)="1.1·x+510 is a model demand function for producing the same item. A. Show that you can use the second derivative of the model cost function to help determine the level of production associated with the minimum marginal cost. B. Calculate, accurate to the nearest dollar (integer), the profit (or loss) that will be incurred from the sale of the first 200 produced. C. Determine, accurate to the nearest integer, the number or numbers of items that are associated with a profit very close to 0. Explain briefly the method you used to do this. D. Clearly illustrate two different ways to create an image formula for the derivative of the model profit function, P, for this item.

III) Suppose for this question that C(x) = 0.00015 x+0.11 x? + 79.5 x + 20300 is an mage formula for the model cost function for producing a certain item. Suppose also that D(x)="1.1·x+510 is a model demand function for producing the same item. A. Show that you can use the second derivative of the model cost function to help determine the level of production associated with the minimum marginal cost. B. Calculate, accurate to the nearest dollar (integer), the profit (or loss) that will be incurred from the sale of the first 200 produced. C. Determine, accurate to the nearest integer, the number or numbers of items that are associated with a profit very close to 0. Explain briefly the method you used to do this. D. Clearly illustrate two different ways to create an image formula for the derivative of the model profit function, P, for this item.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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III) Suppose for this question that C(x) = 0.00015 x+0.11.x² + 79.5 x+ 20300 is an mage formula for the model cost function for producing a certain item. Suppose also that D(x)=1.1.x+510 is a model demand function for producing the same item. A. Show that you can use the second derivative of the model cost function to help determine the level of production associated with the minimum marginal cost. B. Calculate, accurate to the nearest dollar (integer), the profit (or loss) that will be incurred from the sale of the first 200 produced. C. Determine, accurate to the nearest integer, the number or numbers of items that are associated with a profit very close to 0. Explain briefly the method you used to do this. D. Clearly illustrate two different ways to create an image formula for the derivative of the model profit function, P, for this item.
Transcribed Image Text:III) Suppose for this question that C(x) = 0.00015 x+0.11.x² + 79.5 x+ 20300 is an mage formula for the model cost function for producing a certain item. Suppose also that D(x)=1.1.x+510 is a model demand function for producing the same item. A. Show that you can use the second derivative of the model cost function to help determine the level of production associated with the minimum marginal cost. B. Calculate, accurate to the nearest dollar (integer), the profit (or loss) that will be incurred from the sale of the first 200 produced. C. Determine, accurate to the nearest integer, the number or numbers of items that are associated with a profit very close to 0. Explain briefly the method you used to do this. D. Clearly illustrate two different ways to create an image formula for the derivative of the model profit function, P, for this item.
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