Answer:
the Lcm is of both is 15.
Answer:
<em>The minimum unit cost is $5257</em>
Step-by-step explanation:
<u>Minimization</u>
Given a function c(x), the minimum value of c can be found by computing the first derivative. Equating the first derivative to zero will provide the critical points, or candidate point to maximize or minimize the function. The second derivative criterion will make clear which type of point was obtained.
The cost in dollars to produce x machines is
Find the first derivative
Equate to 0
Solving:
There must be produced 260 machines to minimize the cost. The minimum cost is
The minimum unit cost is $5257
You can first condense the series to make it simpler to study. If <em>n</em> is odd, then <em>n</em> = 2<em>k</em> - 1, and if <em>n</em> is even, then <em>n</em> = 2<em>k</em> for some <em>k</em> ≥ 1. So for each <em>k</em>, you can pair up the <em>k</em>-th terms of the odd- and even-indexed series.
odd:
even:
So the series can be re-indexed as
By the root test, the series converges, since
24. 244 cm
25. 65 mm
26. 37/80 or 0.4625
Answer:
8x - 1
Step-by-step explanation:
Combine like terms. 3x and 5x are like terms.
3x + 5x -1 = 8x - 1