# Thread: Calculus economics problem

The bigger battery company sells car batteries at $60 each. They give a discount of 36n, cents per battery, where n is the number of batteries purchased. Find the number of batteries the company should persuade Marky's Car Repairs to purchase in order to make the greatest income. Answer:83 Not sure how to solve this problem 2. ## Re: Calculus economics problem Originally Posted by kguelly The bigger battery company sells car batteries at$60 each. They give a discount of 36n, cents per battery, where n is the number of batteries purchased. Find the number of batteries the company should persuade Marky's Car Repairs to purchase in order to make the greatest income.
Not sure how to solve this problem
Revenue $R(n)=[60-0.36n]*n=60n-0.36n^2$ Find maximum revenue: $R'(n)=0$

3. ## Re: Calculus economics problem

Originally Posted by kguelly
The bigger battery company sells car batteries at \$60 each. They give a discount of 36n, cents per battery, where n is the number of batteries purchased.
So if you buy n batteries, you will be charged 60- .36n per battery so a total or n(60- 0.36n)= 60n- 0.36n^2 dollars.

Find the number of batteries the company should persuade Marky's Car Repairs to purchase in order to make the greatest income.