A manufacturing company produces a product from one raw material using a process A.This process generates total solid wastes Wa ( in tonne) represented as W(A)(r)= 1/15000(-2r^(3)+ 10r^(2)+400r) where r is the amount of raw material used in tone and r in(0 10).If the company uses a different process B to produce the same product from same raw material then the total solid waste generated as W_(B)(r)=1 (in tonnerer present as W_(C)(r)=12r^(3)+11^(2)+440r).The wrate generated as W_(B) (in tone) represented as W_(C) is _(C) (In one more treatment using the process A by converting 1 material.How much extra amount will the company have to pay in waste retreatment for consuming 1 tonne of raw material if it uses the process B? (E
Answers
Given : Wa (r) = 1/15000 (-2r^3 + 10r^2+400r)
Wb (r) = 1/10000 (-2.2r^3+11r^2+440r).
The company spends Rs 5000 in waste treatment using the process A by consuming 1 tonne of raw material.
To find : How much extra amount will the company have to pay in waste treatment for consuming 1 tonne of raw material if it uses the process B?
Solution:
Wa (r) = 1/15000 (-2r^3 + 10r^2+400r)
r = 1
=> Wa (1) = 1/15000 (-2 + 10 +400 ) = 408/15000
= 136/5000
cost for 136/5000 is 5000
Wb (r) = 1/10000 (-2.2r^3+11r^2+440r).
r = 1
=> Wb (1) = 1/10000 (-2.2 +11 +440) = 448.8/10000
= 224.4/5000
Extra in process B = 224.4/5000 - 136/5000
= 88.4/5000
cost for 136/5000 is 5000
=> cost for 88.4/5000 = 5000 * 88.4/136
= 3250
Rs 3250 extra to be paid in process B
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