The cost function for producing X ton 5 of good is c(X) = x²-8x-28 than the minimum cost of product is n on is
a) Rs 4
b) Rs 12
c) Rs 25
d) Rs 2
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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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