Chapter SH, Problem 1.3MPS

(a)

To determine

To find:The expression for the cost $c$ of the day at amusement park for the family.

Answer to Problem 1.3MPS

The expression for thecost $c$ of the day at amusement park for the family is $C=A_1+A_2+C_{11}+C_8+C_4$ .

Explanation of Solution

Given information:The given information is:

There are two adults and three children in the Careen family,

The children’s age are: $11,8,$ and $4$ .

  

Calculation:

Let the cost is $C$ .

Family includestwo adults and three children of age are: $11,8,$ and $4$ .

  $\begin{array}{l}\text{C=Two adults}\text{+Three children}\\ \text{C=Two adults}\text{+}C\text{hildren of age 11+}C\text{hildren of age 8+}C\text{hildren of age 4}\end{array}$

Let two adults are $A_{1,}{A}_2$ .

Let children of age $11$ is $C_{11}$ ,children of age $8$ is $C_8$ , andchildren of age $4$ is $C_4$ .

  $C=A_1+A_2+C_{11}+C_8+C_4$

Therefore,theexpression for thecost $c$ of the day at amusement park for the family is $C=A_1+A_2+C_{11}+C_8+C_4$ .

(b)

To determine

To find:The cost of the day at the amusement park.

Answer to Problem 1.3MPS

The cost of the day at the amusement park is $\$333$ .

Explanation of Solution

Given information: The given information is:

There are two adults and three children in the Careen family,

The children’s age are: $11,8,$ and $4$ .

  

Calculation:

From given table:

Length of the Vacation	1-Day	2-Day	3-Day
Guest(Ages 10+)	$71	$203	$219
Guest(Ages 3-9)	$60	$171	$182

So, the cost of one day,

  $C_8=C_4=\$60$ .

For ages more than $10+$ ,

  $C_{11}=A_1=A_2=\$71$

Put the all value in equation.

  $\begin{array}{l}C=A_1+A_2+C_{11}+C_8+C_4\\ C=71+71+71+60+60\\ C=213+120\end{array}$

  $C=333$

Therefore,the cost of the day at the amusement parkis $\$333$ .

(c)

To determine

To find:The cost if family stayed for three day at the amusement park.

Answer to Problem 1.3MPS

The cost of the day at the amusement park is $\$919$ .

Explanation of Solution

Given information: The given information is:

There are two adults and three children in the Careen family,

The children’s age are: $11,8,$ and $4$ .

  

Calculation:

From given table:

Length of the Vacation	1-Day	2-Day	3-Day
Guest(Ages 10+)	$71	$203	$219
Guest(Ages 3-9)	$60	$171	$182

So, the cost of three day,

  $C_8=C_4=\$171$ .

Cost for ages more than $10+$ of three days,

  $C_{11}=A_1=A_2=\$203$

Put the all value in equation.

  $\begin{array}{l}C=A_1+A_2+C_{11}+C_8+C_4\\ C=171+171+171+203+203\\ C=513+406\end{array}$

  $C=919$

Therefore,the cost of the day at the amusement park is $\$919$ .

(d)

To determine

To find:The cost if family stayed for seven days at the amusement park.

Answer to Problem 1.3MPS

The cost of the seven days at the amusement park is $\$984$ .

Explanation of Solution

Given information: The given information is:

There are two adults and three children in the Careen family,

The children’s age are: $11,8,$ and $4$ .

  

Calculation:

From given table:

Length of the Vacation	1-Day	2-Day	3-Day
Guest(Ages 10+)	$71	$203	$219
Guest(Ages 3-9)	$60	$171	$182

So, the cost of seven days,

  $C_8=C_4=\$182$ .

Cost for ages more than $10+$ forseven days,

  $C_{11}=A_1=A_2=\$219$

Put the all value in equation.

  $\begin{array}{l}C=A_1+A_2+C_{11}+C_8+C_4\\ C=182+182+182+219+219\\ C=546+438\end{array}$

  $C=984$

Therefore,the cost of the seven days at the amusement park is $\$984$ .