Answer:
a = length of the base = 2.172 m
b = width of the base = 1.357 m
c = height = 4.072 m
Step-by-step explanation:
Suppose we want to build a rectangular storage container with open top whose volume is 12 cubic meters. Assume that the cost of materials for the base is 12 dollars per square meter, and the cost of materials for the sides is 8 dollars per square meter. The height of the box is three times the width of the base. What’s the least amount of money we can spend to build such a container?
lets call a = length of the base
b = width of the base
c = height
V = a.b.c = 12
Area without the top:
Area = ab + 2bc + 2ac
Cost = 12ab + 8.2bc + 8.2ac
Cost = 12ab + 16bc + 16ac
height = 3.width
c = 3b
Cost = 12ab + 16b.3b + 16a.3b = 12ab + 48b² + 48ab = 48b² + 60ab
abc = 12 → ab.3b = 12 → 3ab² = 12 → ab² = 4 → a = 4/b²
Cost = 48b² + 60ab = 48b² + 60b.4/b² = 48b² + 240/b
C(b) = 48b² + 240/b
C'(b) = 96b - 240/b²
Minimum cost: C'(b) = 0
96b - 240/b² = 0
(96b³ - 240)/b² = 0
96b³ - 240 = 0
96b³ = 240
b³ = 240/96
b³ = 2.5
b = 1.357m
c = 3b = 3*1.357 = 4.072m
a = 4/b² = 2.172m
Answer:I don't know if you're asking for equation or not cause you didn't mention the question so I'm just gonna write down the equation.
y=4.2x+3.4
Use this formula➡️y=mx+b
m is slope, b is y-intercept , x and y are the points like (0, 3.4)
You said it's the y-intercept but it's not. it's just a point on the graph
Step-by-step explanation:
It is a! I did this assignment and got it right that’s how I know!
Answer:
9
Step-by-step explanation:
The denominator of a fraction is always the bottom number, while the top number is always the numerator.
Answer:
Laura has $4.50 in dimes and quarters she has 3 more dimes than quarters How many quarters does she have
She has 3 more dimes than quarters. How many quarters does she have? Laura has 15 dimes and 12 quarters.
Step-by-step explanation:
