Question

The total cost to buy one radio is of $10 per radio and $5 transportation fee. If you decide to sell EACH radio at $12: a) What is the equation of cost for "x" radios? b) What is the equation of profit (selling price) for "x" radios? c) How many radios you must buy to have equal cost and profit?

Answer 1

The cost of "x" radios is $10x and transportaiton fee of $5. So cost equation for "x" radios is,

`C(x)=10x+5`

(b)

The selling price of one radio is $12. So for "x" radio Profit(selling price) equation is,

`S(x)=12x`

(c)

Determine the value of x for which profit equation is equal to cost equation.

`\begin{gathered} 10x+5=12x \\ 2x=5 \\ x=(5)/(2) \end{gathered}`

The number of radios can never be in fraction. So individual has to buy 3 radios to have equal cost and profit,.