Organization 80743

The apprentice came to his master with an improvement proposal, and with better work organization, we will reduce costs by 45% this year, 30% next year, and 25% the following year. The production won't cost us anything. Has the apprentice received a reward from the master? Is right?

Result

x=

Yes

No

Step-by-step explanation:

$$\begin{gathered} a=100\%-45\%=1-\frac{45}{100}=0.55 \\ b=100\%-30\%=1-\frac{30}{100}=0.7 \\ c=100\%-25\%=1-\frac{25}{100}=0.75 \\ V=a\cdot b\cdot c=0.55\cdot 0.7\cdot 0.75=\frac{231}{800}\doteq 0.2888 \\ W=100\cdot (1-V)=100\cdot (1-0.2888)=\frac{569}{8}=71\frac{1}{8}=71.125\% \\ x=0 \end{gathered}$$

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