The cost function is
c = 0.000015x² - 0.03x + 35
where x = number of tires.
To find the value of x that minimizes cost, the derivative of c with respect to x should be zero. Therefore
0.000015*2x - 0.03 = 0
0.00003x = 0.03
x = 1000
Note:
The second derivative of c with respect to x is positive (= 0.00003), so the value for x will yield the minimum value.
The minimum cost is
Cmin = 0.000015*1000² - 0.03*1000 + 35
= 20
Answer:
Number of tires = 1000
Minimum cost = 20
Speed of Bruce for the rest of the trip is 30 miles/hour.
Step-by-step explanation:
- Step 1: Total distance = 170 miles. In the trip Bruce's speed = 55 miles/hour. So, in 1 hour, distance covered = 55 miles. Find distance covered in 2 hours and the distance of the last part.
Distance covered in 2 hours = 2 × 55 = 110 miles
Remaining part of the trip = 170 - 110 = 60 miles
- Step 2: Find the speed of Bruce in the remaining part of the trip when time = 2 hours and distance = 60 miles.
Speed = Distance/Time = 60/2 = 30 miles/hour
Step-by-step explanation:
its round is 200.0000 .
hope it will help you Mark with brilliant
3x-2=-x-6
do the inverse and add 2 to the whole number on the other side which is -6
3x=-x-4
do the inverse with the variable -x and add x to 3x
4x=-4
divide -4/4 since the inverse of multiplication is division
x=-1
