Question

Last year, Pinwheel Industries introduced a new toy. It cost $5800 to develop the toy and $15 to manufacture each toy. Fill in the blanks below as appropriate.A.) Give a linear equation in the form C =B.) The total cost to produce n = 3050 toys is $ C.) With $23050 , a total of _____ , toys can be produced

Answer 1

Notice that even if no toys are manufactured, the cost would be $5800, and each toy increases the total cost by $15.

A) Therefore, the equation that models the total production cost is

`\Rightarrow C=15n+5800`

Where n is the number of manufactured toys.

The answer to part A) is C=15n+5800

B) In the equation above, set n=3050 and solve for C, as shown below

`C=15(3050)+5800=45750+5800=51550`

The answer to part B) is $51550

C) Set C=23050 and solve for n, as shown below

`\begin{gathered} C=23050 \\ \Rightarrow23050=15n+5800 \\ \Rightarrow15n=17250 \\ \Rightarrow n=1150 \end{gathered}`

The answer to part C) is 1150 toys.