8 pieces of wood. It takes 6 inches to make 1 dowel, so with 4 feet (48 inches) you could make 8 dowels per board. You would need 7.5 boards to make 60, but you cant buy half a board, so the answer is 8
Answer:
there is no graph.
Step-by-step explanation:
Answer:
Ans: greater than 40 mileage Company A will charge less than Company B
Step-by-step explanation:
as company A charges a fix amount $93 for any distance and company B charges variable amount starting from $65.there will be a certain mileage after that the amount charged by company B should be greater than company A.
let for greater than m mileage company A will
charge less than company B.
charge for company A for m mileage= $93
charge for company B for m mileage= $65 + $0.70*m
so,
93 ≤ 65+0.70*m
93-65 ≤ 65+0.70*m -65
28 ≤ 0.70*m
28*10 ≤ 7 *m
280 ≤ 7m
280/7 ≤ 7m/7
40 ≤ m
You need first the original price/number!
Answer:
x = 8,49 ft
y = 4,24 ft
Step-by-step explanation:
Let x be the longer side of rectangle and y the shorter
Area of rectangle = 36 ft² 36 = x* y ⇒ y =36/x
Perimeter of rectangle:
P = 2x + 2y for convinience we will write it as P = ( 2x + y ) + y
C(x,y) = 1 * ( 2x + y ) + 3* y
The cost equation as function of x is:
C(x) = 2x + 36/x + 108/x
C(x) = 2x + 144/x
Taking derivatives on both sides of the equation
C´(x) = 2 - 144/x²
C´(x) = 0 2 - 144/x² = 0 ⇒ 2x² -144 = 0 ⇒ x² = 72
x = 8,49 ft y = 36/8.49 y = 4,24 ft
How can we be sure that value will give us a minimun
We get second derivative
C´(x) = 2 - 144/x² ⇒C´´(x) = 2x (144)/ x⁴
so C´´(x) > 0
condition for a minimum
