Chapter 8.6, Problem 34E

(a)

To determine

To find:the value of vacation does each resort cost.

Answer to Problem 34E

9 days of vacation at the resort will cost the price

Explanation of Solution

Given information:

Given that blue water’s increases the amount by 112 starting at 3 nights and where sea breeze increases their amount by a factor of 1.1

Calculation:

Plot a table to compare the prices offered by the resorts. The blue water’s increases the amount by 112 starting at 3 nights where sea breeze increases their amount by a factor of 1.1

t	3	4	5	6	7	8
Blue water	1100	1212	1324	1436	1548	1660
See Breeze	1000	1100	1210	1331	1464	1611

t	9	10	11	12	13	14
Blue water	1772	1884	1996	2108	2220	2332
See Breeze	1772	1949	2144	2358	2594	2853

The table shows that 9 days will amount to the price

Conclusion:

9 days of vacation at the resort will cost the price

(b)

To determine

To analyze:if sea breeze resort ever be expensive than blue water resort

Answer to Problem 34E

Yes, from the 13^th day of vacation sea breeze resort would be expensive

Explanation of Solution

Given information:

Given that sea water charges $1450 for the first 3 days and then increase $105 for each additional day

Calculation:

Plot another table considering the changes in the rate of blue water

t	3	4	5	6	7	8
Blue water	1450	1555	1660	1765	1870	1975
See Breeze	1000	1100	1210	1331	1464	1611

t	9	10	11	12	13	14
Blue water	2080	2185	1660	1765	1870	1975
See Breeze	1772	1949	2144	2358	2594	2853

The table shows that from the 13^th day of vacation sea breeze resort would be expensive than blue water’s

Conclusion:

Yes, from the 13^th day of vacation sea breeze resort would be expensive

(c)

To determine

To analyze:whether blue water’s resort would ever be expensive than sea breeze under the given conditions

Answer to Problem 34E

No. Sea breeze would be always costlier than blue water

Explanation of Solution

Given information:

Given that sea breeze charges $1200 for the first 3 nights and then increases 10% for every additional night

Calculation:

Plot another table considering the changes in the rates of sea breeze

t	3	4	5	6	7	8
Blue water	1100	1212	1324	1436	1548	1660
See Breeze	1200	1320	1452	1597	1757	1933

t	9	10	11	12	13	14
Blue water	1772	1884	1996	2108	2220	2332
See Breeze	2126	2338	2572	2830	3112	3424

The table shows that the Sea breeze resort would be always costlier than blue water

For all number of vacation days

Conclusion:

No. Sea breeze would be always costlier than blue water