Calc Word Problem

Homework Statement

A farmer can sell his crop for p= -t^2+60t+100 dollars per ton, where p is price and t is the number of days after Oct. 1st. Additionally, the farmer must sell his crop on or before Oct. 10 to pay his outstanding credit card bills. On what day should he sell to maximize profit?

The Attempt at a Solution

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What have you attempted so far, and where are you stuck?

I get -2t + 60 = 0
-2t = -60
t=30
Multiple choice answers give 8 options from Oct. 4th through Oct. 11?

berkeman
Mentor

Homework Statement

A farmer can sell his crop for p= -t^2+60t+100 dollars per ton, where p is price and t is the number of days after Oct. 1st. Additionally, the farmer must sell his crop on or before Oct. 10 to pay his outstanding credit card bills. On what day should he sell to maximize profit?

The Attempt at a Solution

I get -2t + 60 = 0
-2t = -60
t=30
Multiple choice answers give 8 options from Oct. 4th through Oct. 11?

How does the additional constraint stated in the problem change your answer?

SteamKing
Staff Emeritus