akeem wants to have a lemonade stand at the community fair. it costs him $2 to make each cup of lemonade plus a $40 renter's fee for the stand. he sells the lemonade for $6 per cup. how many cups does akeem have to sell to break even?(1 point) cups
To break even, Akeem needs to earn back the $40 renter's fee for the stand and cover the $2 cost to make each cup of lemonade.
Let's calculate how many cups Akeem needs to sell to achieve this:
Break-even point = (Renter's fee + Cost per cup) / Selling price per cup
Break-even point = ($40 + $2) / $6
Break-even point = $42 / $6
Break-even point = 7
Therefore, Akeem needs to sell 7 cups of lemonade to break even.
To calculate the number of cups Akeem needs to sell to break even, we need to find the total cost and the total revenue.
The total cost is the sum of the cost per cup and the renter's fee:
Total cost = Cost per cup × Number of cups + Renter's fee
Total cost = $2 × number of cups + $40
The total revenue is the price per cup multiplied by the number of cups sold:
Total revenue = Price per cup × Number of cups
Total revenue = $6 × number of cups
To break even, the total revenue should equal the total cost:
Total revenue = Total cost
$6 × number of cups = $2 × number of cups + $40
Now, let's solve the equation to find the number of cups needed to break even:
$6 × number of cups = $2 × number of cups + $40
$4 × number of cups = $40
number of cups = $40 / $4
number of cups = 10
Therefore, Akeem needs to sell 10 cups of lemonade to break even.
To determine how many cups Akeem needs to sell to break even, we need to calculate his total costs and his total revenue.
Total Cost = Cost per Cup * Number of Cups + Renter's Fee
Total Revenue = Price per Cup * Number of Cups
Given:
Cost per Cup = $2
Renter's Fee = $40
Price per Cup = $6
Let's plug these values into the formulas:
Total Cost = $2 * Number of Cups + $40
Total Revenue = $6 * Number of Cups
To break even, Akeem's Total Cost should be equal to Total Revenue. So, we can set up the equation:
$2 * Number of Cups + $40 = $6 * Number of Cups
Now, let's solve for Number of Cups:
$40 = $6 * Number of Cups - $2 * Number of Cups
$40 = $4 * Number of Cups
Number of Cups = $40 / $4
Number of Cups = 10
Therefore, Akeem needs to sell 10 cups of lemonade to break even.