Question 1 (1 point)
You have $5 and you're faced with a choice of $1 Tacos or $2 Chicken Nuggets. Each has it's own diminishing marginal utility. On a separate paper calculate MU/$, etc. What is the best combination of food to maximize your utility? And how many Utils would you get?
Qty |
$2 Chicken |
$1 Tacos Utils |
1 | 8 | 7 |
2 | 16 | 10 |
3 | 22 | 12 |
4 | 24 | 14 |
a |
4 tacos & 1 chicken nuggets: 51 Utils |
b |
1 chicken nuggets & 2 tacos: 25 Utils |
c |
5 tacos: 16 Utils |
d |
1 taco & 2 chicken nuggets: 23 Utils |
Question 2 (1 point)
You have $10 and faced with a choice of $3 Reeses peanut butter cups and $2 Snickers. What combination should you buy and how many Utis would you receive?
Qty | Total Reeses Util |
Total Snickers Util |
1 | 4 | 7 |
2 | 8 | 12 |
3 | 10 | 14 |
4 | 11 | 15 |
a |
1 Reeses + 3 Snickers: 60 Utils |
b |
2 Reeses + 2 Snickers: 88 Utils |
c |
3 Reeses + 1 Snickers: 72 Utils |
d |
2 Reeses + 2 Snickers: 20 Utils |
1. d. 1 taco & 2 chicken nuggets: 23 Utils
reason:
Chicken Nuggets ($2) |
Tacos ($1) |
|||
Quantity | MU | MU/$ | MU | MU/$ |
1 | 8 | 4 | 7 | 7 |
2 | 8 | 4 | 3 | 3 |
3 | 6 | 3 | 2 | 2 |
4 | 2 | 1 | 2 | 2 |
Income = $5
As we see in the table, I will first buy 2 units of chicken nuggets (8 MU/$ is the highest), and then 1 unit of Tacos (7 MU/$). So, $2*2+$1*1 = $5. My income is spent. A total of 23 utils (16 for chicken nuggets and 7 for tacos)
2. d. 2 Reeses + 2 Snickers: 20 Utils
reason:
Reeses ($3) |
Snickers ($2) |
|||
Quantity | MU | MU/$ | MU | MU/$ |
1 | 4 | 1.33 | 7 | 3.5 |
2 | 4 | 1.33 | 5 | 2.5 |
3 | 2 | 0.67 | 2 | 1 |
4 | 1 | 0.33 | 1 | 0.5 |
Income = $10
First I will choose 2 units of Snickers (3.5 and 2.5 Mu/$ respectively), and then 2 units of Reeses peanut butter cup (1.33 MU/$ each). That will exhaust my income. I will have spent $3*2+$2*2 = $10. Total 20 utils (8 utils from Reeses and 12 utils from Snickers = 20 utils)
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