Question

A baker determined the annual profit in dollars from selling cupcakes using p(n)=41n-0.06n2, where n is the number of cupcakes sold .What is the annual profit if the baker sells 240cupcakes

Answer 1

The annual profit is $6384, if the baker sells 240cupcakes

Explanation:

Annual profit in dollars from selling cupcakes =
`p(n)=41n-0.06n^2`

where n is the number of cupcakes sold .

We need to find the annual profit if the baker sells 240cupcakes.

If baker sells 240 cupcakes, so we have n = 240

Putting value of n in the given equation and finding profit

`p(n)=41n-0.06n^2\\Put\:n=240\\p(240)=41(240)-0.06(240)^2\\p(240)=9840-0.06(57600)\\p(240)=9840-3456\\p(240)=6384`

So, The annual profit is $6384, if the baker sells 240cupcakes