Suppose Tasty Cakes is deciding its pricing strategy: it is debating whether to offer a single linear price for its sheet cakes or to offer non-linear pricing. Suppose on any day, it gets 2 customers–who are of Type A and TypeB with the following maximum willingness-to-pay for the cakes:

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Chapter1: Making Economics Decisions
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Suppose Tasty Cakes is deciding its pricing strategy: it is debating whether to offer a single linear price for its sheet cakes or to offer non-linear pricing. Suppose on any day, it gets 2 customers–who are of Type A and TypeB with the following maximum willingness-to-pay for the cakes:

Units Type A Type B
1 $100 $90
2 $75 $40

Suppose it costs $10 to bake each of the cakes.

(a) If Tasty Cakes decides to pick a linear pricing strategy, what will be the profit-maximizing price it should choose? How many cakes will it end up selling and what will be its total profit? (b) If Tasty Cakes decides to pick a non-linear pricing strategy where it may offer a different price depending on the number of cakes purchased, what should be the profit-maximizing set of prices? How many cakes will it sell and what will be its total profit? (c)Comparing Tasty Cakes’profits in (a) and (b), explain IN WORDS why we see this difference in profits

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