(1) If you buy X sets of type A fitness equipment, buy 30-x sets of type B fitness equipment.
Therefore, the required funds for purchase = 25,000x+22,000x (30-x) = 660,000+3,000x.
∫708000≤660000+3000 x≤720000
∴ 16≤x≤20
∴ There are five purchase schemes:
1, 16 sets of type A, 14 sets of type B, and the required capital is 708,000 yuan.
2. Type A 17 sets and Type B 13 sets, and the required funds are 7 1 1000 yuan.
3.A type 18 sets and B type 12 sets, and the required funds are 714,000 yuan.
4. 19 sets of type A, 1 1 set of type B, and the required funds are 7 17000 yuan.
5. 20 sets of type A and type B 10, and the required capital is 720,000 yuan.
(2) It takes X yuan to assemble 1 set of type A fitness equipment, and Y yuan to assemble 1 set of type B fitness equipment.
List the equations according to the meaning of the question:
2x+3y= 1350
3x+y= 1 150
Solution: x=300, y=250.
Assembly cost of scheme1=16× 300+14× 250 = 8300.
The required assembly cost of scheme 2 =17× 300+13× 250 = 8350.
The assembly cost required for Scheme 3 =18× 300+12× 250 = 8400.
The required assembly cost of Scheme 4 =19× 300+1/kloc-0 /× 250 = 8450.
The required assembly cost of Scheme 5 =20×300+ 10×250=8500.
∴ In order to minimize the assembly cost, the procurement scheme of 1 should be adopted.
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