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1) Solution: If there are x models of A, then the B shapes are (50-x), which is obtained according to the topic.
80x+50(50-x)≤3490
40x+90(50-x)≤2950
Solving this inequality group yields: 31 x 33, x is an integer, x can take 31, 32, 33 can be designed three combinations:
There are 31 horticultural modeling A and 19 horticultural modeling B, 32 horticultural modeling A and 18 horticultural modeling B, 33 horticultural modeling A and 17 horticultural modeling B, 2) because the cost of B modeling is higher than the cost of A modeling, so the less B modeling, the lower the cost, so the scheme should be selected, the lowest cost and the lowest cost is.
33 800 + 17 960 = 26400 + 16320 = 42720 (yuan).
Therefore, the answer is: 42,720 yuan.
Hope! Thank you!
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The topic is that in 2009, a county in our city was preparing for the 20th anniversary of the county celebration, and the Ministry of Gardens decided to use the existing 3490 pots of A kind of flowers and 2950 pots of flowers that have been planted into two kinds of horticultural shapes, a total of 50, placed on both sides of Yingbin Avenue. It is known that 80 pots of A flowers and 40 pots of flowers are required to match a type A shape: 50 pots of A flowers and 90 pots of flowers are required to match a B shape.
1) The extracurricular activity group of the ninth grade of a school undertook the design of this gardening modeling scheme, and asked how many collocation schemes are there that match the topic? Please help design it:
2) If you want to match a type A shape the cost is 800 yuan, with a type B style cost is 960 yuan, try to explain (1) which scheme has the lowest cost, the lowest cost is how much yuan?
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It's just a middle school exam question that hasn't been completed.
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Solution: (1) If there are x models of A type, then (50 x) of B shapes. According to the title:
80x+50(50-x)≤3490
40x+90(50-x)≤2950
Solving this inequality yields:
31≤x≤33
Because x is an integer, x can take 31, 32, 33
Therefore, three matching schemes can be designed:
1. There are 31 A horticultural shapes and 19 B horticultural collocations.
2. There are 32 gardening styles of A species and 18 gardening styles of B species.
3. There are 33 A horticultural shapes and 17 B horticultural collocations.
2) Method 1:
Because the cost of B modeling is higher than the cost of A modeling, the less B modeling, the lower the cost, so the scheme should be selected, the cost is the lowest, and the lowest cost is.
33 800 + 17 960 = 42720 (yuan) Method 2: Scheme cost 31 800 + 19 960 = 43040 (yuan) scheme Cost 32 800 + 18 960 = 42880 (yuan) scheme Cost 33 800 + 17 960 = 42720 (yuan) should choose the scheme, the lowest cost, the lowest cost is 42720 yuan Agree with 8|Comment (1).
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There's a lot of information in my space that you can check it out.
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Because the cost of B modeling is higher than the cost of A modeling, the less B modeling, the lower the cost, so the scheme should be selected, the cost is the lowest, and the lowest cost is.
33 800 + 17 960 = 42720 (yuan) Method 2:
Scheme cost 31 800 + 19 960 = 43040 (yuan) scheme cost 32 800 + 18 960 = 42880 (yuan) scheme cost 33 800 + 17 960 = 42720 (yuan) should choose the scheme, the lowest cost, the lowest cost is 42720 yuan
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Solution: (1) If there are x models of A type, then (50 x) of B shapes. According to the title:
80x+50(50-x)≤3490
40x+90(50-x)≤2950
Solving this inequality yields:
31≤x≤33
Because x is an integer, x can take 31, 32, 33
Therefore, three matching schemes can be designed:
1. 31 A horticultural shapes, 19 B horticultural shapes, 32 A horticultural shapes, 18 B horticultural shapes, 33 A horticultural shapes, and 17 B horticultural shapes (2) Method 1:
Because the cost of B modeling is higher than the cost of A modeling, the less B modeling, the lower the cost, so the scheme should be selected, the cost is the lowest, and the lowest cost is.
33 800 + 17 960 = 42720 (yuan) Method 2:
Scheme cost 31 800 + 19 960 = 43040 (yuan) scheme cost 32 800 + 18 960 = 42880 (yuan) scheme cost 33 800 + 17 960 = 42720 (yuan) should choose the scheme, the lowest cost, the lowest cost is 42720 yuan
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Solution: (1) If there are x models of A type, then (50 x) of B shapes. According to the title:
Solving this inequality yields:
Because x is an integer, x can take 31, 32, 33
Therefore, three matching schemes can be designed:
1. 31 A horticultural shapes, 19 B horticultural shapes, 32 A horticultural shapes, 18 B horticultural shapes, 33 A horticultural shapes, and 17 B horticultural shapes (2) Method 1:
Because the cost of B modeling is higher than the cost of A modeling, the less B modeling, the lower the cost, so the scheme should be selected, the cost is the lowest, and the lowest cost is.
33 800 + 17 960 = 42720 (yuan) Method 2:
Scheme cost 31 800 + 19 960 = 43040 (yuan) scheme cost 32 800 + 18 960 = 42880 (yuan) scheme cost 33 800 + 17 960 = 42720 (yuan) should choose the scheme, the lowest cost, the lowest cost is 42720 yuan
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If there are x models in type A, then (50-x) models in type B.
According to the title, yes.
Solve this group of inequalities and get 31 x 33
x is an integer, x can be taken as 31, 32, 33
Three matching schemes can be designed:
There were 31 horticultural shapes of A type and 19 horticultural shapes of type B;
There are 32 horticultural shapes of A type and 18 horticultural shapes of B type;
33 A horticultural shapes 17 B horticultural shapes (2) Method 1: Because the cost of B modeling is higher than the cost of A modeling, the less B modeling, the lower the cost, so the scheme should be selected, the cost is the lowest, the lowest cost is 33 800 + 17 960 = 42720 (yuan).
Method 2: Scheme cost: 31 800 + 19 960 = 43040 (yuan);
Scheme cost: 32 800 + 18 960 = 42880 (yuan);
Scheme cost: 33 800 + 17 960 = 42720 (yuan);
The lowest cost should be selected, and the lowest cost is 42,720 yuan.
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Solution: (1) If you match X models of A, then the shape of B is (50-x) from the title, and you get 80x+50 (50-x) 3490 40x+90 (50-x) 2950
Solve 31 x 33
x is an integer, x=31,32,33
Three matching schemes can be designed:
Scheme 1: 31 horticultural shapes of A species and 19 horticultural shapes of type B;
Scheme 2: 32 horticultural shapes of A type and 18 horticultural shapes of type B;
Scheme 3: 33 gardening styles of A and 17 gardening shapes of B (2) The cost of B modeling is higher than the cost of modeling A, and the less modeling B, the lower the cost, so plan 3 should be selected, and the lowest cost The lowest cost is: 33 800 + 17 960 = 42720 (yuan) Answer:
Option 3 should be selected with the lowest cost, and the lowest cost is 42,720 yuan
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Solution: (1) If there are x shapes in A, then (50-x) in B shapes, and the inequality group is solved according to the meaning of the problem, 31 x 33
x is an integer, x can be taken as 31, 32, 33
Three matching schemes can be designed:
There were 31 horticultural shapes of A type and 19 horticultural shapes of type B;
There are 32 horticultural shapes of A type and 18 horticultural shapes of B type;
There are 33 horticultural models of A type and 17 horticultural models of B species
2) Method 1:
Because the cost of B modeling is higher than the cost of A modeling, the less B modeling, the lower the cost, so the scheme should be selected, the cost is the lowest, and the lowest cost is.
33 800 + 17 960 = 42720 (yuan) Method 2:
Scheme cost 31 800 + 19 960 = 43040 (yuan) scheme cost 32 800 + 18 960 = 42880 (yuan) scheme cost 33 800 + 17 960 = 42720 (yuan) should choose the scheme, the lowest cost, the lowest cost is 42720 yuan
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Solution: (1) If you match X models of A, then the shape of B is (50-x) from the title, and you get 80x+50 (50-x) 3490 40x+90 (50-x) 2950
Solve 31 x 33
x is an integer, x=31,32,33
Three matching schemes can be designed:
Scheme 1: 31 horticultural shapes of A species and 19 horticultural shapes of type B;
Scheme 2: 32 horticultural shapes of A type and 18 horticultural shapes of type B;
Scheme 3: 33 gardening styles of A and 17 gardening shapes of B (2) The cost of B modeling is higher than the cost of modeling A, and the less modeling B, the lower the cost, so plan 3 should be selected, and the lowest cost The lowest cost is: 33 800 + 17 960 = 42720 (yuan) Answer:
Option 3 should be selected with the lowest cost, and the lowest cost is 42,720 yuan
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Solution: If there are x models of A, then the B shapes are (50-x)80x+50*(50-x)<=3490....140x+90*(50-x)<=2950...
2 solution 1 yields 30x<=990(x<=33).
Solution 2 yields 50x>=1550(x>=31).
So x=31,32,33 these 3 collocations.
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Solution: A type X shapes, then B type (50-x) pieces.
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Solution: If there are x models of A, then there are (50-x) of B shapes.
According to the title: 80x+50(50-x) 349040x+90(50-x) 2950
Solving this equation gives 31 x 33, so the value of x is 31, 32, 33.
Answer: There are three ways: 31 A style pendulums, 19 B style pendulums;
32 A shapes and 18 B shapes;
There are 33 A style possessions and 17 B style possessions.
2) Solution: 31x800 + 19x960 = 43040 (yuan) 32x800 + 18x960 = 42880 (yuan) 33x800 + 17x960 = 42720 (yuan) Answer: The cost of the program is the lowest, which is 42720 yuan.
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1) Set X horticultural shapes of A and Y of B species. Then x+y=,y satisfies :
80*x+50*y<=3490,40*x+90y<=2950.There are 3 types of x,y that meet the conditions:
31,19),(32,20),(33,17)(80*x+50*(50-x)<=3490,40*x+90(50-x)<=2950.Launched 31<=x<=33)
2) Obviously, the more A-shapes, the lower the cost. Therefore, the scheme should be selected: 33 A shapes, 17 B shapes. The lowest cost is y0 = 33 * 800 + 960 * 17 = 42,720 yuan.
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Solution: (1) There are three ways: 31 A shapes, 29 B shapes;
32 A shapes and 28 B shapes;
There are 33 pendulums in type A and 27 pendulums in type B.
2) Solution: 31x800 + 29x960 = 56240 (yuan) 32x800 + 28x960 = 55480 (yuan) 33x800 + 27x960 = 52320 (yuan) Answer: The cost of the program is the lowest, which is 52320 yuan.
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1.Three kinds, the first one, A31 disc, B29 disc, the second A32, 28B, the third A33, B27
2 Minimum cost 52320
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Solution: If there are x models of A, then the B shapes are (50-x) from the title, and 80x+40(50-x) 349050x+90(50-x) 2950
Solve 31 x 33
x is an integer, x=31,32,33
Three matching schemes can be designed:
Scheme 1: 31 horticultural shapes of A species and 19 horticultural shapes of type B;
Scheme 2: 32 horticultural shapes of A type and 18 horticultural shapes of type B;
Scheme 3: 33 horticultural shapes of A species and 17 horticultural shapes of B species
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