Suppose the Fluffy Pillow Company produces pillows. The number of pillows it can produce each hour depends on the number of workers it hires, as shown in the accompanying table. In addition, each pillow can be sold for $2 more than the cost of the materials needed to produce it.
$$\begin{array} { | c | c | }
\hline \text { Number af warkers per haur } & \text { Number of pillavs per hour } \
\hline 0 & 0 \
\hline 1 & 24 \
\hline 2 & 42 \
\hline 3 & 54 \
\hline 4 & 60 \
\hline 5 & 61 \
\hline
\end{array}$$
If the hourly wage for people who make pillows is $10, then how many workers should the Fluffy Pillow Company hire each hour?
A)1
B)2
C)3
D)4

Question

Suppose the Fluffy Pillow Company produces pillows. The number of pillows it can produce each hour depends on the number of workers it hires, as shown in the accompanying table. In addition, each pillow can be sold for $2 more than the cost of the materials needed to produce it.  
$$\begin{array} { | c | c | } 
\hline \text { Number af warkers per haur } & \text { Number of pillavs per hour } \
\hline 0 & 0 \
\hline 1 & 24 \
\hline 2 & 42 \
\hline 3 & 54 \
\hline 4 & 60 \
\hline 5 & 61 \
\hline
\end{array}$$  
If the hourly wage for people who make pillows is $10, then how many workers should the Fluffy Pillow Company hire each hour?
A)1
B)2
C)3
D)4

Quizplus · Accepted Answer

To determine the optimal number of workers, we need to calculate the profit for each option, considering both the revenue from selling pillows and the cost of labor. The profit can be calculated as follows: Profit = (Number of pillows * Selling price per pillow) - (Number of workers * Hourly wage). Given that each pillow sells for $2 more than its cost, we focus on the additional revenue generated by hiring more workers, offset by their wages.For 1 worker: Profit = (24 pillows * $2) - (1 worker * $10) = $48 - $10 = $38.For 2 workers: Profit = (42 pillows * $2) - (2 workers * $10) = $84 - $20 = $64.For 3 workers: Profit = (54 pillows * $2) - (3 workers * $10) = $108 - $30 = $78.For 4 workers: Profit = (60 pillows * $2) - (4 workers * $10) = $120 - $40 = $80.For 5 workers: Profit = (61 pillows * $2) - (5 workers * $10) = $122 - $50 = $72.The maximum profit is achieved with 4 workers, making option D the correct choice.

Suppose the Fluffy Pillow Company Produces Pillows If the Hourly Wage for People Who Make Pillows Is