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Eighth grade math winter vacation homework
23. Solution: (1) If X type A biogas digesters are built, then (20-x) type B biogas digesters will be built. ................................. 1 min.

According to the meaning of the question: 3 points

Solution: 7 ≤ x ≤ 9.4 points.

∵ x is an integer ∴ x = 7, 8, 9, ∴ There are three schemes that meet the conditions. .................... scores 5 points.

(2) Building X Type A biogas digesters with a total cost of Y million yuan, then:

Y = 2x+3 (20-x) =-x+60 ... 6 o'clock.

∵- 1 & lt; 0, ∴y decreases with the increase of x,

When x=9, the value of y is the smallest, and y= 5 1 (ten thousand yuan) ............................................. 7 points.

At this time, the plan is: to build 9 Type A biogas digesters and 1 1 B biogas digesters, with 8 points in ........................................

Solution ②: As can be seen from (1), * * * has three solutions, and their costs are as follows:

Scheme 1: Build 7 Type A biogas digesters and 13 Type B biogas digesters.

The total cost is: 7×2+ 13×3 = 53 (ten thousand yuan) ...................................................... 6 points.

Scheme 2: Build 8 Type A biogas digesters and 12 Type B biogas digesters.

The total cost is: 8×2+ 12×3 = 52 (ten thousand yuan) .........................................................................................................................................

Scheme 3: build 9 A-type biogas digesters, 1 1 B-type biogas digesters.

The total cost is 9× 2+11× 3 = 51(ten thousand yuan).

∴ Scheme 3 is the most economical. .......................................................... scores 8 points.