Multiple Choice
In applied optimization, the point of maximum profit occurs at the output level where the marginal cost equals which of the following (assuming differentiability and an interior maximum)?
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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?