One: A factory produces two kinds of products, A and B, which are processed by three processes: A, B and C respectively. Given the equipment time required to produce a unit product, the existing processing capacity of the equipment and the unit profit of various products, as shown in Figure Q,
Equipment capabilities of both parties
$64,800
B 2 3 600
C 1 2 300
Unit profit (RMB) 100 120
1 How to arrange the production plan to maximize the total profit?
The factory plans to buy a batch of equipment B to expand production. Is it suitable?
The rental of equipment A in the market is 8 yuan/Taiwan. Is it necessary for the factory to rent equipment from the market?
Due to the change of market supply and demand, the price of product B fell, and the unit profit of product B fell from 120 to 100 yuan. Does the original optimal production plan need to be changed, and does it affect the total profit of the factory?
Due to the improvement of technology, the equipment time of A equipment required for producing A unit products has changed from 6 to 4. Is it necessary to have a new production plan at this time?
The factory arranged some equipment for maintenance during the planning period. What kind of equipment should be arranged for overhaul? At least what kind of equipment should be guaranteed to reach the production capacity of how many units, so as not to affect profits?
The factory plans to put the new product C into production, and its unit output needs four, four and three hours of processing with three kinds of equipment, A, B and C respectively, and the unit profit of product C is 130 yuan. Is it necessary to put product C into production only from the perspective of profit during the planning period?
In order to improve the product quality, the factory plans to add a new process to produce two kinds of products, A and B. When the processing hours of D equipment are 2 and 3 respectively, and the production capacity of D equipment is 500, will it affect the original production plan after adding the new process?