Question

the student council rented a popcorn machine that costs $50 per day. they plan to sell the popcorn for $1.50 for each bag. it cost $0.50 to produce a bag of popcorn. what is the least number of bags of popcorn must they sell to make a profit?

Answer 1

Answer: f(x)=-.5x+1x f(1)=-.5(1)+1= f(1)= 1-.5= .50, so after selling one bag of popcorn they make a $0.50 profit.

Step-by-step explanation: Hope this helps!! :))

Answer 2

Answer: 51 bags.

Explanation:

Profit = (price of goods sold) - (cost of goods sold)

Therefore, the profit per bag of popcorn is $1.50 - $0.50 = $1.00.

The fixed cost of the machine is $50.

For every bag sold, we make $1.00 of profit. If we divide the price of the popcorn machine by the profit on each bag of popcorn, we find how many bags we need to sell. $50 / $1.00 = 50 bags. If we sell 50 bags, we break even. The 51st bag and every bag sold after makes a profit, so therefore, in order to make a profit, the student council must sell at least 51 bags of popcorn.