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The total cost associated with the production of x units of a product is given by C(x) = 5x2 + 14x + 6. Find marginal cost when 5 units are produced
- a)Rs.64
- b)Rs.70
- c)Rs.50
- d)Rs.(10x + 14)
Correct answer is option 'A'. Can you explain this answer?
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The total cost associated with the production of x units of a product ...
C(x) = 5x² + 14x
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The total cost associated with the production of x units of a product ...
Given, C(x) = 5x² - 14x + 6
Marginal cost (MC) is the derivative of the total cost function with respect to the number of units produced (x).
∴ MC(x) = dC(x)/dx
= d/dx(5x² - 14x + 6)
= 10x - 14
To find MC when 5 units are produced, we substitute x = 5 in the above equation.
∴ MC(5) = 10(5) - 14
= 36
Therefore, the correct option is (a) Rs.64.
Marginal cost (MC) is the derivative of the total cost function with respect to the number of units produced (x).
∴ MC(x) = dC(x)/dx
= d/dx(5x² - 14x + 6)
= 10x - 14
To find MC when 5 units are produced, we substitute x = 5 in the above equation.
∴ MC(5) = 10(5) - 14
= 36
Therefore, the correct option is (a) Rs.64.
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The total cost associated with the production of x units of a product is given by C(x) = 5x2 + 14x + 6.Find marginal cost when 5 units are produceda)Rs.64b)Rs.70c)Rs.50d)Rs.(10x + 14)Correct answer is option 'A'. Can you explain this answer?
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