Each cow weighs 300kg. The cost of maintaining a cow is 20€ per day. The rate of change of the cows

Osmarq5ltp

Osmarq5ltp

Answered question

2022-05-10

Each cow weighs 300kg. The cost of maintaining a cow is 20€ per day. The rate of change of the cows weight is 4kg a day. The market price is currently 50€ per kg and it is falling 50 cents a day. How much time should the cattleman wait to sell the cows? How much extra money does he make by waiting?

Answer & Explanation

Lea Johnson

Lea Johnson

Beginner2022-05-11Added 13 answers

W = 300 + 4 d ,
P = 50 W d 2 20 d ,
Plug the expression for W into the expression for P and obtain an expression for P in terms of d. Differentiate this and set to 0 to find the maximum.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school geometry

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?