Suppose that you are responsible for making arrangements for a business convention and that you have been charged with choosing
a city for the conven- tion that has the least expensive hotel rooms. You have narrowed your choices to Atlanta and Houston. The file named Hotel contains samples of prices for rooms in Atlanta and Houston that are consistent with the results reported by Smith Travel Research (smart Money, March 2009). Because considerable historical data on the prices of rooms in both cities are available, the population standard deviations for the prices can be assumed to be $20 in Atlanta and $25 in Houston. Based on the sample data, can you conclude that the mean price of a hotel room in Atlanta is lower than one in Houston
1 answer:
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Answer:
3 salads, 6 vegetarian burgers
Explanation:
Data provided in the question:
Weekly food budget = $36
Cost of salad, Cs = $6
Cost of vegetable burger, Cv = $3
Now,
Let the number of salads be 'S'
and, the number of vegetable burgers be 'V'
thus,
S × Cs + V × Cv = $36
or
S × $6 + V × $3 = $36 ............(1)
also,
2 salads and 4 vegetarian burgers will give her a utility of 8
i.e U(2, 4 ) = 8
or
U( S, V ) = SV
Now,
From optimal marginal utility condition
Marginal rate of substitution =
or
or
V = 2S ..........(2)
substituting the above value in 1
S × $6 + 2S × $3 = $36
or
6S + 6S = 36
or
12S = 36
or
S = 3
substituting S in (2)
V = 2(3)
or
V = 6
Hence,
3 salads, 6 vegetarian burgers