DOUBT IN QUESTION
WHEN IT IS CLEARLY WRITTEN THAT Rax and Rbx is the average!!!!!!! then howww in the world it is the no of total pastries and not the average produced over n consecutive days!!!!!
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IPMAT/Algebra
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The wording of this question sucks, that’s why it’s confusing you.
They’ve written “average per day” but the functions they’ve given are clearly behaving like total output over x days, not average. If it was truly average, then total would be average × x, but here x is already inside the function (px(x+2), qx(x−2)), which means these are actually total production functions, just poorly labeled.
That’s why in the solution they directly use Rₐ(4), Rₐ(6), R_b(5), etc. as totals, because otherwise nothing would make sense and the equations wouldn’t work out.
So just ignore the word “average” here and treat Rₐ(x) and R_b(x) as total pastries over x days. In these cases, always trust the math over the wording.
Fixed the wording, thank you!