Zoe's Bakery operates in a perfectly competitive industry. When the market price of iced cupcakes is $5, the profit-maximizing output level is 150 cupcakes. Her average total cost is $4, and her average variable cost is $3. Zoe's marginal cost is , and her short-run profits are .

Total marketing effort is a term used to describe the critical decision factors that affect demand: price, advertising, distribution, and product quality. define the variable x to represent total marketing effort. a typical model that is used to predict demand as a function of total marketing effort is based on the power function: d = axb suppose that a is a positive number. different model forms result from varying the constant b. sketch the graphs of this model for b = 0, b = 1, 0< b< 1, b< 0, and b> 1. (we encourage you to use excel to do this.) what does each model tell you about the relationship between demand and marketing effort? what assumptions are implied? are they reasonable? how would you go about selecting the appropriate model?