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Ceramic art recruitment
(2)① According to the meaning of the question, 3m+2(35-m)=85.
Solution: m= 15
∴ Time required to produce each type B ceramic: 35-m=20 minutes.
According to the meaning of the question: 15x+20y=8×25×60.
Simplification: y=? 34x+600
∴ functional relationship between y and x: y=? 34x+600(5 points);
(2) Assume that the piece-rate wage for producing each A-type ceramic is A yuan, and the piece-rate wage for producing each B-type ceramic is B yuan.
According to the meaning of the question, a+b = 2.83a+2b = 6.6. Solution: a = 1b = 1.8.
Piece rate of A-class ceramics will increase by P yuan, and Xiao Wang's monthly salary can only be 1200 yuan.
According to the meaning of the question:1200 = (1+p) x+(1.8+0.2) (? 34x+600)+ 100
Simplification: p = 12? 100x
∫p = 100 x is an inverse proportional function, and k = 100 > 0.
∴p decreases with the increase of X.
∴ at p = 12? In 100x, p increases with the increase of x.
And ∵x≥209y means x≥209 (? 34x+600)
Solution: x≥500
∴ When x=500, P reaches the maximum, at this time, p = 0.3.
A: Piece rate of A-class ceramics should be increased by at least 0.3 yuan, and Xiao Wang's monthly salary can only be 1.200 yuan.
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