Question

The cost of manufacturing x toy is C=x2-5x+7. Then , the marginal cost of manufacturing 10toy is​

Answer 1

Answer:

Marginal cost is the derivative of the cost function.

∴C(x)=∫M(x)dx=∫

2x+25

500

dx

Put 2x+25=t⟹2dx=dt

∴C(x)=∫

t

250

dt

C(x)=500(

t

)+c=500(

2x+25

)+c

where c is constant1

C(100)=500(

225

)+c=7500+c

and C(300)=500(

625

)+c=12500+c

C(300)−C(100)=5000 Rs.

Step-by-step explanation:

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