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(16 points) Camila spends all her money on pancakes and maple syrup. Assume that the price of pancakes is $2 each, and the price of
- (16 points) Camila spends all her money on pancakes and maple syrup. Assume that the price of pancakes is $2 each, and the price of maple syrup is $1.50 for each quantity. The table below gives her marginal utility for various quantities of each good.
Quantity of Pancakes | Total Utility of Pancakes | Quantity of Syrup | Total Utility of Syrup | ||||
---|---|---|---|---|---|---|---|
0 | 0 | ---- | ---- | 0 | 0 | ---- | ---- |
1 | 20 | 1 | 15 | ||||
2 | 36 | 2 | 28.5 | ||||
3 | 48 | 3 | 40.5 | ||||
4 | 56 | 4 | 51 | ||||
5 | 60 | 5 | 60 |
- Find the marginal utility associated with each quantity of both goods. Then find the marginal utility per dollar spent for each quantity of both goods. You can enter the values in the extra columns provided in the table.
- If Camila has $8.50, what is her optimal consumption bundle of pancakes and maple syrup?
- Briefly explain how we can use this utility maximization model to find Camila's demand curve for pancakes.
2.(12 points) Alice and Beatrice both run landscaping firms. The table below shows their short-run production functions, i.e. how many yards they can service, Q, for a given number of workers, L.
L | QA | MPL,A | QB | MPL,B |
0 | 0 | ---- | 0 | ---- |
1 | 5 | 9 | ||
2 | 10 | 16 | ||
3 | 15 | 21 | ||
4 | 20 | 24 | ||
5 | 25 | 25 |
- Complete the table - what is the marginal product of labor for each woman's landscaping firm?
- Describe the short-run supply curves for each woman's firms - are they vertical, steeply upward sloping, relatively flat, or completely flat? Briefly explain your answer.
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