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A company X is producing several Blu-ray recorders, and the demand for Blu-ray recorders over the next six months is shown in Table 1. Requirements

A company X is producing several Blu-ray recorders, and the demand for Blu-ray recorders over the next six months is shown in Table 1.

Requirements Working Days Number of Workers Number of Jobs Number of Layoffs Number of Production End of Month Inventory
September 185 500
October 20000 23
November 22000 21
December 31000 19
January 30000 21
February 24000 20
March 23000 23
Wage (How many Person) * 200,000 Yen (?) Yen
Cost of Employment (How many Person) * 300,000 Yen (?) Yen
Dismissal Fee (How many Person) * 250,000 Yen (?) Yen
Inventory Storage Cost 1000 Yen Each (?) Yen
Total (?) Yen

Approximately 1.5 people per hour are needed to produce a car (e.g., two cars are completed if three people work for an hour, or two cars are completed if one person works for three hours).

One person spends eight hours a day directly engaged in production activities.

The monthly wage of a worker is 200,000 yen per person, 250,000 yen per person when fired, and 300,000 yen per person when employed.

Product inventory storage costs are 1,000 yen per month. Multiply the unit price by the unit price to find the total inventory storage costs.

Employment and dismissal are carried out at the beginning of each month (zero time required) and then production is carried out. Only the demand for the month is shipped at the end of the month, and the remaining products are kept in stock until the end of the following month.

Demand must be met.

It is now the end of September, with 185 workers and 500 in stock.

At the end of March next year, the number of workers is expected to be between 180 and 190, and at the end of March, the supervisor instructed that the inventory of products should be between 200 and 300.

In addition, the number of products and the number of people is rounded to integer values (the number of productions is rounded down to decimal places, and the number of people required is rounded up).

(1) Based on the above information, the comprehensive production plan based on demand should be presented with the cost breakdown.

The cost is calculated from October to March of the following year.

(2) Next, find a comprehensive production plan with fixed capacity and compare it with the plan in (1).In addition, the fixed capacity is set from October to January, and then the capacity can be changed (of course, October's capacity can be different from September).

(3) Find a mixed production plan that costs less than the plans in (1) and (2).

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