Chapter 12, Problem 1P

Read bar graphs, line graphs, and circle graphs.

Trades Management From the bar graph below,

1. (a) Determine the number of frames assembled by the Tuesday day shift. __________
2. (b) Calculate the percent decrease in output from the Monday day shift to the Monday night shift. __________

Weekly Frame Assembly

Monthly Paint Jobs at Autobrite

Problems (c) and (d) refer to the line graph above.

1. (c) Determine the maximum number of paint jobs and the month during which they occurred. _________
2. (d) Calculate the percent increase in the number of paint jobs from January to February. _________
3. (e) The average job for ABC Plumbing generates $227.50. Use the circle graph on the next page to calculate what portion of this amount is spent on advertising. _________

Percent of Business Expenditures

To determine

The number of frames assembled by the Tuesday day shift

Answer to Problem 1P

The number of frames assembled by the Tuesday day shift is $\underset{\_}{70\text{ frames}}$.

Explanation of Solution

Given:

The bar graph for the weekly frame assembly that is the number of frames in the day shift and night shift is mentioned.

Calculation:

From the bar graph, the height of the bar corresponding to the day of Tuesday for the day shift is 70. That is, there are 70 frames in the day shift.

Thus, the number of frames assembled by the Tuesday day shift is $\underset{\_}{70\text{ frames}}$.

To determine

The percent decrease in output from the Monday day shift to the Monday night shift

Answer to Problem 1P

The percent decrease in output from the Monday day shift to the Monday night shift is $\underset{\_}{27\%}$.

Explanation of Solution

Formula used:

Percent change in proportion:

$\frac{\text{Amount of increase}}{\text{Base}}=\frac{R}{100}$

Calculation:

From the bar graph, the height of the bar corresponding to the day of Monday for the day shift is 55. That is, there are 55 frames in the day shift. The day of Monday for the night shift is 40. That is, there are 40 frames in the day shift.

The difference in frames is,

$\begin{array}{c}\text{Difference}=\text{Day}\text{shift}-\text{Night}\text{shift}\\ =55-40\\ =15\end{array}$

Substitute 55 as base and 15 as amount of decrease in the percent formula.

$\begin{array}{c}\frac{\text{15}}{55}=\frac{R}{100}\\ 55R=15\times 100\\ 55R=1,500\\ R=\frac{1,500}{55}\\ =27.2727\\ \approx 27\end{array}$

Thus, the percent decrease in output from the Monday day shift to the Monday night shift is $\underset{\_}{27\%}$.

To determine

The maximum number of paint jobs and the month during which they occurred

Answer to Problem 1P

The maximum number of paint jobs is $\underset{\_}{65\text{ jobs}}$.

The month during which maximum number of paint jobs occurred is $\underset{\_}{\text{May}}$.

Explanation of Solution

Given:

The line graph of Monthly Paint Jobs at Autobrite is mentioned.

Calculation:

From the line graph it can be observed that the highest point of the paint jobs is 65 which correspond to the month of May. That is, the month of May has the highest jobs of 65.

Thus, the maximum number of paint jobs is $\underset{\_}{65\text{ jobs}}$ and the month during which maximum number of paint jobs occurred is $\underset{\_}{\text{May}}$.

To determine

The percent increase in the number of paint jobs from January to February

Answer to Problem 1P

The percent increase in the number of paint jobs from January to February is $\underset{\_}{40\%}$.

Explanation of Solution

From the line graph, the number of jobs corresponding to the month of January is 25 and the number of jobs corresponding to the month of February is 35.

The difference in jobs is,

$\begin{array}{c}\text{Difference}=\text{February}-\text{January}\\ =35-25\\ =10\end{array}$

Substitute 25 as base and 10 as amount of increase in the percent formula.

$\begin{array}{c}\frac{\text{10}}{25}=\frac{R}{100}\\ 25R=10\times 100\\ 25R=1,000\\ R=\frac{1,000}{25}\\ =40\end{array}$

Thus, the percent increase in the number of paint jobs from January to February is $\underset{\_}{40\%}$.

To determine

The portion of amount $227.50 that is spent on advertising based on the circle graph

Answer to Problem 1P

The portion of amount $227.50 that is spent on advertising based on the circle graph is $\underset{\_}{\$40.95}$.

Explanation of Solution

Given:

The circle graph of Percent of Business Expenditures is mentioned. Also, average job for ABC Plumbing generates $227.50.

Calculation:

From the circle graph, the percentage of the business expenditure spent on advertising is 18%.

The amount is,

$\begin{array}{c}\text{Amount}=0.18\times \$227.50\\ =\$40.95\end{array}$

Thus, the portion of amount $227.50 that is spent on advertising based on the circle graph is $\underset{\_}{\$40.95}$.