demand: 43/sqrt[x]; variable, fixed costs; find max profit

[ajgodson]

Hi gracious Math do-gooders! I've been stumped by one problem that I'm looking for some help on. Any help with this would be greatly appreciated.

The daily demand for a certain product is 43/sqrt[x]. The daily costs include variable cost of $0.43 per unit and fixed costs of $782. What is the level of production that will maximize profit for 0 < x < 5791?

Thanks for any help!

Adam

 

[stapel]

"Profit" is income less expenses. Use this to create your "profit" formula. Differentiate to find the maximizing value.

Eliz.