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A math problem (grade one) is urgent.
1. On the premise of completing the task, how to arrange to produce only a batch of masks of type A and type B?

Setting: one mask for x days

, (8-X) days

Equation: 0.6X+(8-X)=5.

X=7

Type B mask: 8-7= 1 day.

The factory can make a profit by producing type A masks: 6000 * 7 * 0.5 = 2 1 000 yuan.

The production of type B masks can be profitable:

8000 *(8-7)* 0.3 = 2400 yuan

What is the maximum profit?

2 1000+2400=23400 yuan

2. If you want to complete the task in the shortest time, how can you arrange to produce only a number of masks of type A and type B?

Type A mask: 1.8/0.6=3 days.

(5- 1.8)/0.8=4 days

What's the shortest time?

3+4=7 days