A factory has 360kg of a and 290kg of B raw materials. It plans to use these two raw materials to produce 50 pieces of AB products. It is known that it is necessary to produce one piece of a product A kind of raw material 9kg, B kind of raw material 3kg, produce a B kind of product need a kind of raw material 4kg, B kind of raw material 10kg. ① suppose to produce X pieces of a kind of product, write the inequality that x satisfies. ② which kinds of production plan accord with the meaning of the problem? Please help to design it

A factory has 360kg of a and 290kg of B raw materials. It plans to use these two raw materials to produce 50 pieces of AB products. It is known that it is necessary to produce one piece of a product A kind of raw material 9kg, B kind of raw material 3kg, produce a B kind of product need a kind of raw material 4kg, B kind of raw material 10kg. ① suppose to produce X pieces of a kind of product, write the inequality that x satisfies. ② which kinds of production plan accord with the meaning of the problem? Please help to design it

Does a factory have 360 kg of type a raw material and 290 kg of type B raw material? It plans to use these two raw materials to produce 50 pieces of products a and B. It is known that to produce a piece of product a, 9 kg of type a raw material and 3 kg of type B raw material can make a profit of 700 yuan. To produce a piece of product B, 4 kg of type a raw material and 10 kg of type B raw material can make a profit of 1200 yuan
(1) There are several plans for the production of a and B products according to the requirements. Please design them
(2) Suppose that the total profit of a and B products is y yuan, and the number of production pieces of one product is x pieces, try to write the functional relationship between Y and X, and use this relationship to explain which scheme has the biggest profit and what is the biggest profit?

(1) Suppose we produce a piece of product a, B 50-a piece, 9A + 4 (50-a) ≤ 360 (1) 3A + 10 (50-a) ≤ 290 (2) by (1) 9A + 200-4a ≤ 3605a ≤ 160A ≤ 32, by (2) 3A + 500-10a ≤ 2907a ≥ 210a ≥ 30, so 30 ≤ a ≤ 32 is three schemes to produce 30 pieces of product a and 20 pieces of product B to produce a

A factory has 360 kg of type a raw material and 290 kg of type B raw material. It plans to use these two raw materials to produce 50 pieces of products a and B. It is known that the profit of a product with 9 kg of type a raw material and 3 kg of type B raw material is 700 yuan; the profit of a product with 4 kg of type a raw material and 10 kg of type B raw material is 100 yuan
1. Suppose x pieces of a product are produced, please write out the inequalities that x should satisfy
If x is an integer, what are the plans to arrange the number of pieces of a and B products according to the requirements? Please design them

（1）
Let a produce X pieces, B produce (50-x)
9x+4(50-x)

A factory has 360 kg of type a raw materials and 290 kg of type B raw materials. It plans to use these two raw materials to produce 50 pieces of products a and B. It is known that for a product a, 9 kg of type a raw materials and 3 kg of type B raw materials can make a profit of 700 yuan; for a product B, 4 kg of type a raw materials and 10 kg of type B raw materials can make a profit of 1200 yuan. There are several plans to arrange the number of pieces of products a and B
Please design and explain which production plan or total profit is the biggest?

Let a product have X pieces, then B product is 50-x pieces
9X+4(50-X)