Current location - Training Enrollment Network - Books and materials - How many books does it take to open a corner?
How many books does it take to open a corner?
Solution: (1) If there are x middle-sized corners, there are (30-x) small corners.

Therefore, the countable inequality set 80x+30(30-x)≤ 1900 ①.

50x+60(30-x)≤ 1620 ②

Get 18≤x from ①.

② X≤20.

So the solution of this inequality group is 18≤x≤20.

Since x can only be an integer, the value of x is 18,19,20.

When x= 18, 30-x =12;

When x= 19, 30-x =11;

When x=20, 30-x = 10.

So there are three formation schemes:

Scheme 1: Set 18 middle corner and 12 small corner;

Scheme 2: Set 19 middle book corner and 1 1 small book corner;

Scheme 3: Set 20 medium-sized corners and 10 small corners.

① The cost of Scheme I is: 860× 18+570× 12.

= 15480+6840

=22320 (yuan);

② The cost of Scheme II is: 860×19+570×11.

= 16340+6270

=226 10 (yuan)

③ The cost of the third scheme is 860×20+570× 10.

= 17200+5700

=22900 (yuan)

22320 & lt226 10 & lt; 22900

Therefore, the first scheme has the lowest cost, and the lowest cost is 22,320 yuan.

I hope I can help you and wish you progress in your study.