91影视

Step 1: (a) Cycle Time

$\begin{array}{c}\text{颁测肠濒别鈥嬧赌塼颈尘别鈥�=鈥�}\frac{\text{础惫补颈濒补产濒别鈥塸谤辞诲耻肠迟颈辞苍鈥塼颈尘别}}{\text{顿别蝉颈谤别诲鈥塷耻迟辫耻迟}}\\ \\ \text{础惫补颈濒补产濒别鈥塸谤辞诲耻肠迟颈辞苍鈥塼颈尘别鈥�=鈥�7.5hours鈥壝�60minutes鈥壝�60seconds}\\ \\ \text{=鈥�27000蝉别肠辞苍诲蝉}\\ \\ \text{顿别蝉颈谤别诲鈥塷耻迟辫耻迟鈥�=鈥�900鈥塽nits}\end{array}$

Now,

role="math" localid="1651292487719" $\begin{array}{c}\text{颁测肠濒别鈥嬧赌塼颈尘别鈥�=鈥�}\frac{\text{础惫补颈濒补产濒别鈥塸谤辞诲耻肠迟颈辞苍鈥塼颈尘别}}{\text{顿别蝉颈谤别诲鈥塷耻迟辫耻迟}}\\ \\ \text{=鈥�}\frac{\text{27000}}{\text{900}}\\ \\ \text{=鈥�30鈥塻别肠辞苍诲蝉}\end{array}$

The cycle time is30 seconds.

$\begin{array}{c}\text{Sum鈥塷f鈥塼ask鈥塼imes鈥塗i鈥�=鈥�30鈥塻别肠辞苍诲蝉鈥壝椻��4鈥墂orkstations}\\ \\ \text{=鈥�120鈥塻别肠辞苍诲蝉}\\ \\ \text{狈耻尘产别谤鈥塷蹿鈥墂辞谤办蝉迟补迟颈辞苍蝉鈥塏鈥�=鈥�4}\\ \\ \text{Cycle鈥塼ime鈥塁鈥�=鈥�30鈥塻别肠辞苍诲蝉}\end{array}$

We can find the efficiency by using the given equation:

$\begin{array}{c}\text{贰蹿蹿颈肠颈别苍肠测鈥�=鈥�}\frac{\text{Ti}}{\text{狈鈥壝椻赌塁}}\\ \\ \text{=鈥�}\frac{\text{120}}{\text{4鈥壝椻赌�30}}\text{鈥壝�100}\\ \\ \text{=鈥�100\%}\end{array}$

The efficiency is 100%.

Since the third station currently requires 45 seconds to finish and the accessible production is the same at 7.5 hours, the accompanying things should be possible to satisfy the need on time and keep up with efficiency:

1. More talented specialists could be employed for station 3 to accelerate the interaction.
2. Laborers could be approached to stay at work longer than required.
3. Some upgrading in the item could likewise assist with efficiency.
4. Updated hardware and machine could be introduced at the third station to limit the process duration.

For the efficiency of the new system,

$\begin{array}{c}\text{厂耻尘鈥塷蹿鈥塼补蝉办鈥塼颈尘别蝉鈥涂颈=鈥�}\left(\text{30蝉别肠辞苍诲蝉鈥壝椻赌�3鈥墂辞谤办蝉迟补迟颈辞苍蝉}\right)\text{+}\left(\text{45蝉别肠辞苍诲蝉鈥壝椻赌�1鈥墂辞谤办蝉迟补迟颈辞苍}\right)\\ \\ \text{=鈥�135鈥塻别肠辞苍诲蝉}\end{array}$

For this situation, the longest workstation time will be viewed as the cycle time. Accordingly, the cycle time will currently be 45 seconds. For efficiency:

role="math" localid="1651292885944" $\begin{array}{c}\text{贰蹿蹿颈肠颈别苍肠测鈥�=鈥�}\frac{\text{Ti}}{\text{狈鈥壝椻赌塁}}\\ \\ \text{=鈥�}\frac{\text{135}}{\text{4鈥壝椻赌�}45}\text{鈥壝�100}\\ \\ \text{=鈥�75\%}\end{array}$

The efficiency of the new system is 75%.