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A stationery company manufactures 'x units …

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A stationery company manufactures 'x units of pen in a given time, if the cos square of the pens produced, cost of transportation is twice the number of pens property tax costs 5000. Then, (1) Find the cost function C(x). Differentiation and its Applications (ii) Find the cost of producing 21pen. (iii) The marginal cost of producing 50 pens.​
  • 1 answers

Preeti Dabral 1 year, 9 months ago

Cost of raw material = x²

Cost of transportation = 2x

Property tax = 5,000

Therefore ,

(i) C(x) = x² + 2x + 5000

(ii) MC = 2x + 2

Now, x = 21,

MC = 2(21) + 2 = 42 + 2 = 44

(iii) x = 50,

MC. = 2(50) + 2 = 100+2 = 102

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