Suppose there are two firms selling protein bars. Firm 1 sells 'AggieBars' with 10 grams of protein and firm 2 sells 'DavisBars' with 20 grams of protein. Consumers are distributed uniformly over their preferences for grams of protein between 10 and 20. Suppose firm 1 sells AggieBars for $2 and firm 2 sells DavisBars for $3. The 'cost' to consumers of deviating from their optimal amount of protein is $0.20 per gram. a. What protein content does the marginal consumer (the consumer who is indifferent between AggieBars and Davis Bars) prefer? The equation for finding the marginal consumer (when the range of product attribute values is 10) is V-p1tx m = V - p2 - t(10 −x m) 4 b. How would the proportion of consumers buying each product change if the cost to deviation from one's optimal amount of protein increased (was greater than $0.20 per gram)?

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Suppose there are two firms selling protein bars.
Firm 1 sells 'AggieBars' with 10 grams of protein
and firm 2 sells 'DavisBars' with 20 grams of
protein. Consumers are distributed uniformly
over their preferences for grams of protein
between 10 and 20. Suppose firm 1 sells
AggieBars for $2 and firm 2 sells DavisBars for
$3. The 'cost to consumers of deviating from
their optimal amount of protein is $0.20 per
gram. a. What protein content does the marginal
consumer (the consumer who is indifferent
between AggieBars and DavisBars) prefer? The
equation for finding the marginal consumer
(when the range of product attribute values is
10) is V - p1 - tx m = V – p2 – t(10 – x m) 4 b.
How would the proportion of consumers buying
each product change if the cost to deviation
from one's optimal amount of protein increased
(was greater than $0.20 per gram)?
Transcribed Image Text:Suppose there are two firms selling protein bars. Firm 1 sells 'AggieBars' with 10 grams of protein and firm 2 sells 'DavisBars' with 20 grams of protein. Consumers are distributed uniformly over their preferences for grams of protein between 10 and 20. Suppose firm 1 sells AggieBars for $2 and firm 2 sells DavisBars for $3. The 'cost to consumers of deviating from their optimal amount of protein is $0.20 per gram. a. What protein content does the marginal consumer (the consumer who is indifferent between AggieBars and DavisBars) prefer? The equation for finding the marginal consumer (when the range of product attribute values is 10) is V - p1 - tx m = V – p2 – t(10 – x m) 4 b. How would the proportion of consumers buying each product change if the cost to deviation from one's optimal amount of protein increased (was greater than $0.20 per gram)?
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