6. Graphical Applications of Derivatives

A poster is set to have a total area of 1150 cm², with 2-cm margins on the sides and the top, and a 3-cm margin at the bottom. What dimensions will maximize the printed area?

Your café sells lattes for \$4 each to 100 customers per day. For every \$1 increase in price, you would lose 20 customers. Find the price that maximizes revenue. Hint: The # of items sold is based on the number of customers.

A small clinic uses 5,000 bottles of hand sanitizer per year. Each shipment costs \$200 to order, and it costs \$1 to store each bottle for a year. How many bottles should the clinic order in each shipment to minimize the total ordering and storage costs?