In this question you must show detailed reasoning.
A manufacturing plant is implementing a 12-month program to reduce its industrial effluent. The effluent discharge is monitored at the start of each month.
The plant managers are evaluating two different reduction strategies.
Under strategy Plan A, the volume of effluent discharged will decrease by the same constant amount each month.
Calculate the effluent discharge in month 7 under Plan A. (3)
Under strategy Plan B, the volume of effluent discharged will decrease by a constant percentage each month.
Calculate the effluent discharge in month 7 under Plan B. Give your answer in m³ to one decimal place. (3)
The plant also generates a fixed volume of runoff, yyy m³, each month over the 12-month period. Given that:
(i) Find the maximum value of yyy, if strategy Plan A is used. (ii) Find the maximum value of yyy, if strategy Plan B is used. (5)
Practise Edexcel A Level Maths 3.8 Modelling with Series with exam-style questions for A Level Maths. 24 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.