28.1k views
2 votes
A fashion designer makes and sells hats. The material for each had cost three dollars. The hats sell for $13.50 each. The designer spends $2121 on fixed cost: advertising, Power, water, rent . How many hats mustard designers sell to break even

User Hunger
by
3.3k points

1 Answer

3 votes

The designer spends $2121 and $3 each for hat and he can sell it for $13.50 each.

If there are x number of hats, it will cost him (2121 + 3x) and he can gain 13.50x

The break even is when the cost and sales are equal.

Equating both expressions :


\begin{gathered} 2121+3x=13.50x \\ 2121=13.50x-3x \\ 2121=10.50x \\ x=(2121)/(10.50)=202 \end{gathered}

The answer is 202 hats

User CuriousLearner
by
3.7k points