Question

Pls help the question is

The Midway Theater sells two different size popcorn boxes, the micro box and the jumbo box. They'd like to do some analysis on the two boxes to decide which box makes them more money.
The Theater pays $0.002 per 1 square inches of cardboard and and $0.001 per 1 cubic inches of popped popcorn. Which box will they make more money from?

Answer 1

The Jumbo Box

Explanation:

To determine which box will make the Theater more money, we need to compare the profits from each box. Let's assume that the Theater sells the micro box for $4 and the jumbo box for $8.

First, let's calculate the cost of the materials for each box. The micro box has a volume of approximately 30 cubic inches and a surface area of approximately 70 square inches. So, the cost of the materials for the micro box would be:

Cardboard cost: 70 square inches x $0.002 per square inch = $0.14

Popcorn cost: 30 cubic inches x $0.001 per cubic inch = $0.03

Total cost: $0.14 + $0.03 = $0.17

Next, let's calculate the profit for the micro box:

Profit = $4 (selling price) - $0.17 (cost) = $3.83

Now let's do the same calculations for the jumbo box. The jumbo box has a volume of approximately 210 cubic inches and a surface area of approximately 160 square inches. So, the cost of the materials for the jumbo box would be:

Cardboard cost: 160 square inches x $0.002 per square inch = $0.32

Popcorn cost: 210 cubic inches x $0.001 per cubic inch = $0.21

Total cost: $0.32 + $0.21 = $0.53

Next, let's calculate the profit for the jumbo box:

Profit = $8 (selling price) - $0.53 (cost) = $7.47

Therefore, the jumbo box will make the Theater more money, with a profit of $7.47 compared to the micro box's profit of $3.83.