Answer: No
Step-by-step explanation:
First add the 48.75 and 18.30 together.
second multiply 5.50 by 9
she would only earn 49.50 so she won’t be able to buy the bike and helmet
Answer:
Step-by-step explanation:
The break even point is the point where in the total cost and the total revenue of the business are of the same value which means there is no profit or no loss. It is would be the minimum point that a business to reach in order to be able to recover the costs without any loss. At this point selling cost is equal to the sum of the fixed cost and the variable cost. To determine the break even point in units, we do as follows:
SC = FC + VC
Px = FC + Vx
where x is the number of units, P is the price per unit and V is the variable cost per unit.
x = FC / P - V
x = 561000 / (8.00 - 0.50)
x = 74800 units
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
