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Llana [10]
3 years ago
8

Suppose that Omar's marginal utility for each additional cup of coffee is 5.5 utils per cup no matter how many cups he drinks. O

n the other hand, his marginal utility per doughnut is 10 for the first doughnut he eats, 9 for the second he eats, 8 for the third he eats, and so on (that is, declining by 1 util per additional doughnut). In addition, suppose that coffee costs $1 per cup, doughnuts cost $1 each, and Omar has a budget that he can spend only on doughnuts, coffee, or both. How big would that budget have to be before he would spend a dollar buying a first cup of coffee?
Business
1 answer:
Lelechka [254]3 years ago
8 0

Answer:

Explanation:

To answer this question, we first need to calculate the marginal utility per dollar for doughnuts. Recall that the marginal utility per dollar for a good is the marginal utility divided by the price of the good (=MU/P). For the first doughnut we have 10 (=10/$1), the second doughnut 9(=9/$1), third 9, fourth 8, fifth 7, sixth 6, seventh 5, eighth 4, ninth 3, tenth 2 and eleventh 1. The marginal utility per dollar for every cup of coffee is 5.5 (=5.5/$1). To determine how big the budget would have to be before Omar would spend a dollar buying his first cup of coffee, we compare the marginal utility per dollar values. Omar will purchase the first doughnut before he buys a cup of coffee because the marginal utility per dollar for the doughnut is greater than the marginal utility per dollar for the cup of coffee (10>1.5). The same is true for the second through the eighth doughnut. This implies Omar will buy 8 doughnuts at the price of $1 before he buys his first cup of coffee. Therefore his budget will need to $9 before he buys his first cup of coffee, $8 on the doughnuts and $1 for the cup of coffee.

Answer: $8

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