Question

The members of a cooking club are making cakes, which they will sell at a street fair for $8 apiece. It cost $30 for a booth at the fair, and the ingredients for each cake cost $2. At some point, the club members will sell enough cakes so that their sales cover their expenditures. How many cakes will they have sold?

Answer 1

They need to sell 5 pieces to cover their expenditures (have a profit of zero).

How many cakes will they have sold?

We know that the costs are:

• $30 for the booth at the fair.
• $2 for each piece of cake they sell.

And the revenue is:

• $8 for each piece of cake.

So, the profit (the difference between the revenue and the cost) for selling x pieces is:

p(x) = $8*x - $2*x - $30

p(x) = $6*x - $30

We want to find the value of x such that p(x) = 0, then:

0 =  $6*x - $30

x = $30/$6 = 5

They need to sell 5 pieces to cover their expenditures (have a profit of zero).

If you want to learn more about profit:

brainly.com/question/23103804

#SPJ1