Answer: it will take 40 rides to break even.
Step-by-step explanation:
Profit = Revenue - total cost
At the point of break even, there is no profit. It means that
revenue = total cost
The cost c (in dollars) for the fuel and maintenance of a go-cart is given by
c = 10x + 1200
where x is the number of rides. It costs $40 per ride. This means that the revenue gotten from x rides is 40x.
In order to break even, it means that
40x = 10x + 1200
40x - 10x = 1200
30x = 1200
x = 1200/30
x = 40
Answer:
if you are solving for X then X=0
Step-by-step explanation:
Given :
Devin is buying 2 concert tickets. The concert tickets have a regular price of $40 each.
Devin has a coupon that gives a 5% discount off of the regular price of the tickets. He will then pay a 10% purchasing fee on the discounted price of the tickets.
To Find :
Devin's total cost of the two tickets after the discount and the fee.
Solution :
Discount on price, D = 40×0.05 = $2 .
Price of product after discount, P = $( 40 - 2 ) = $38 .
Now, total price after adding purchasing fee is :
T = P + (P×0.10)
T = 38 + (38×0.10)
T = 38 + 3.8
T = $41.8
Therefore, Devin's total cost of the two tickets after the discount and the fee is $41.8 .
Hence, this is the required solution.
Answer:
X = 8, y = 8
Step-by-step explanation:
This question is an optimization problem. Two equations are going to be needed here
n = x+y
P = xy
Such that 64 = xy
When we divide through by x we get:
y = 64/x
So that n becomes:
n = x + 64/x
n = x+64x^-1
We take derivative
n' = 1-64x^-2
When n' = 0 then a min|max occurs
0 = 1-64x^-2
Such that:
64/x² = 1
Divide through by x²
64 = x²
x = √64
x = 8
Remember y = 64/x
So,
Y = 64/8
Y = 8.
X = 8, y = 8
Thank you!
