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P Limited produces chairs at $70 each. It receives a special order for 1,000 chairs with padded seats. This requires $6,000 in extra materials, 500 extra labour hours at $15/hour, and $2,000 extra overheads. What is the total cost of this batch?
1. Base cost = 1,000 $\times$ $70 = $70,000.
2. Extra materials = $6,000.
3. Extra labour = 500 $\times$ $15 = $7,500.
4. Extra overheads = $2,000.
Total = $70,000 + $6,000 + $7,500 + $2,000 = $85,500.
In strategic HRM, matching people and organizations suggests that HR strategies contribute most to firm performance when they:
Research shows HR strategies contribute most to firm performance when used to attract and retain the type of employee who best fits the firm's culture and overall business objectives. For example, fast-growth firms perform better with risk-taking managers, while mature firms need different managerial traits.
Malpighian tubules are excretory structures found in which organism?
Malpighian tubules are the excretory organs in insects like grasshoppers. Earthworm has nephridia; leech has nephridia; slug (mollusk) has a kidney-like organ.
For each $x\in\mathbb{R}$, let $[x]$ be the greatest integer $\leq x$. Find: $\displaystyle\lim_{x\to0^-}\dfrac{x([x]+|x|)\sin[x]}{|x|}$
For $x\to0^-$: $x<0$, $|x|=-x$, $[x]=-1$.
$\dfrac{x((-1)+(-x))\sin(-1)}{-x} = \dfrac{x(-1-x)(-\sin1)}{-x}$
$= \dfrac{x(1+x)\sin1}{x} = (1+x)\sin1$
As $x\to0^-$: limit $= 1\cdot\sin1$... wait: $= \dfrac{x(-1-x)(-\sin1)}{-x} = \dfrac{(1+x)\sin1 \cdot x}{x}=(1+x)\sin1\to\sin1$? Re-doing: numerator $= x(-1-x)\sin(-1)=x(-1-x)(-\sin1)=x(1+x)\sin1$; denominator $=-x$. So $=\dfrac{x(1+x)\sin1}{-x}=-(1+x)\sin1\to-\sin1$. Answer: $\mathbf{-\sin 1}$.
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