A baker makes cakes. If making one more cake adds more to total costs than it adds to total sales, what should the baker do to make the most money?
To make the most money, the baker should reduce the number of cakes made. This decision is based on the principle of profit maximization, which involves comparing marginal cost and marginal revenue. Marginal cost is the additional expense incurred to produce one more unit, in this scenario, one more cake. Marginal revenue is the additional income gained from selling one more unit, or one more cake. A business maximizes its total profit by producing goods up to the point where the marginal revenue from the last unit produced equals its marginal cost. The problem states that making one more cake adds more to total costs than it adds to total sales. This means that for any additional cake considered, its marginal cost is greater than its marginal revenue. Producing a cake when its marginal cost exceeds its marginal revenue would result in a loss on that specific cake, thereby decreasing the baker's overall total profit. Therefore, to increase total profit and make the most money, the baker must stop producing cakes at this level and decrease the quantity of cakes made until the point where the marginal revenue of the last cake produced is at least equal to its marginal cost.