if x+1 is to be a factor of x raise to 200 +x raise to 150 -k x raise to 25+ x raise to 5 - 5 then k =?
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Step-by-step explanation:
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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.
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