Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.
Thursday they met several other friends at the same theater. They purchased 6 drinks and 5 popcorns for a total of $33.75. What was the cost of one drink and one popcorn?
1 answer:
Since Garrett and Carter bought popcorn and drinks, we have to figure out how much money is 1 drink and 1 popcorn. I figured the best way is to figure out half of $12.50 because 2 drinks and 2 popcorn cost that amount of money. You divide $12.50 by 2 to figure out half of that amount. The quotient equals to $6.25.
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Answer:
(a)Length =2 feet
(b)Width =2 feet
(c)Height=3 feet
Step-by-step explanation:
Let the dimensions of the box be x, y and z
The rectangular box has a square base.
Therefore, Volume of the box
Volume of the box
The material for the base costs , the material for the sides costs
, and the material for the top costs
.
Area of the base
Cost of the Base
Area of the sides
Cost of the sides=
Area of the Top
Cost of the Base
Total Cost,
Substituting
To minimize C(x), we solve for the derivative and obtain its critical point
Recall:
Therefore, the dimensions that minimizes the cost of the box are:
(a)Length =2 feet
(b)Width =2 feet
(c)Height=3 feet