1.1. Analysis of 5 Scrapers

Now let us consider the economics of going for 5 scrapers. So, 5 in the sense you are going to use lesser than what is needed, you are assuming 5 that means you are going to use the number of scrapers lesser than what is needed. So, when the number of scrapers are lesser than the balanced number so obviously scrapers are more critical, but a pusher will have the ideal time. Your pusher will wait for the scraper.

In this section, the text examines the choice of using five scrapers even when more might be ideal for efficiency. If you have fewer scrapers than necessary, this creates a scenario where scrapers become the bottleneck in production. The pusher (another piece of equipment that works alongside scrapers) will often have idle time since it cannot operate until the scraper is available to load material. This imbalance highlights the importance of ensuring that the number of scrapers is appropriately matched to maintain continuous production.

Imagine a scenario in a restaurant kitchen where there are only two chefs (scrapers) and four cooks (pushers). If the dish preparations are supposed to happen simultaneously but only two chefs are available, the cooks will end up waiting for the chefs to finish their tasks before they can serve the meals. The result is a bottleneck in the service delivery, much like the scrapers in this scenario.

So, now, let us see the productivity this case of n equal to 5 scrapers. How to estimate the production of this scraper? The volume of your bowl volume per load, you know the value of 19.82 bank cubic meter.

To determine production with five scrapers, the bowl's volume per load (19.82 bank cubic meters) is essential. The production rate is computed taking into account the number of scrapers, the bowl's load capacity, and the time it takes to complete a cycle (which is 7.78 minutes). Specifically, this is calculated by multiplying the bowl volume by the number of scrapers, adjusting for cycle time and machine efficiency. The final productivity of 636.89 bank cubic meters per hour tells us how much material can be moved by five scrapers in one hour.

Think of filling a container with water. If the container holds 20 liters (like the bowl of the scraper) and you plan to pour water from it continuously (using scrapers), you need to know how long it takes to fill a cup (or in this case, how long it takes to complete a loading cycle). If you fill one cup every minute and have multiple containers being filled, you can gauge how much water is moved in an hour, just like how we calculate the scraper's productivity.

So, basically when you use lesser number of the scrapers, scraper will be controlling the production, lesser than the balance number. When you are using more number of scrapers in that case pusher will be critical, pusher cycle time will control the production.

This section emphasizes the relationship between the number of scrapers and the production control dynamics. When there are fewer scrapers than needed, it constrains the production capabilities as the scrapers cannot keep up with the workload expected by the pushers. Conversely, if there are too many scrapers, pushers will become crucial, and their speed will govern how fast the work can be completed. Balancing the number of these machines is crucial for efficient production.

Consider a factory assembly line where there are fewer workers than the amount of work available. The workers (scrapers) are overwhelmed, which slows down production. On the other hand, if there are too many workers and not enough tasks to do (more scrapers than necessary), then the tasks to be completed (pushers) determine how fast the process can move. This situation can create delays in completing the overall assembly work.

We need the unit production cost in terms of the cost per bank meter cube. That is why we have to estimate the production also in the bank cubic meter.

Understanding the unit production cost is crucial to evaluate the efficiency of using scrapers. The text focuses on calculating the cost per bank cubic meter for the production rate. It discusses combining the costs of the push tractor and scrapers, considering their operating costs and dividing by the productivity (in bank cubic meters) to find the rate per volume of material moved.

Think of this like a lemonade stand. If you know how much money you spend on lemons and sugar (production costs) versus how much lemonade you sell (volume produced), you can calculate how much it costs to sell each cup of lemonade. This helps determine whether you're pricing too low or too high and if you need to adjust your operation to remain profitable.

--