If you divide a negative by a positive then you get a negative or if you divide a positive by a negative then you make that number negative
Answer:
The minimum cost is $9,105
Step-by-step explanation:
<em>To find the minimum cost differentiate the equation of the cost and equate the answer by 0 to find the value of x which gives the minimum cost, then substitute the value of x in the equation of the cost to find it</em>
∵ C(x) = 0.5x² - 130x + 17,555
- Differentiate it with respect to x
∴ C'(x) = (0.5)(2)x - 130(1) + 0
∴ C'(x) = x - 130
Equate C' by 0 to find x
∵ x - 130 = 0
- Add 130 to both sides
∴ x = 130
∴ The minimum cost is at x = 130
Substitute the value of x in C(x) to find the minimum unit cost
∵ C(130) = 0.5(130)² - 130(130) + 17,555
∴ C(130) = 9,105
∵ C(130) is the minimum cost
∴ The minimum cost is $9,105
Step-by-step explanation:
height= 4b
length = 2 + b
volume = 60in³
or, l ×b × h = 60in³
or, (2+b) × b × 4b = 60in³
or, 4b²(2+b) = 60in³
or, 8b² + 4b³ = 60
or, 2b² + b³ = 15
or, b³ + 2b² -15= 0
b= 1.95
l= 2+1.95=3.95
h= 4×1.95 = 7.8
By using the quadratic equation your answer is y = x^2/4 - x + 5
