Question

集合M={(x,y)|x+2y-2≥0},P={(x,y)|y-1≤0},S={(x,y)|x-2≤0},若T=M∩P∩S,點E(x,y)∈T,則x-y的最大值是_____________.

Answer 1

2

解析:畫出可行域如圖,設z=x-y,當直線z=x-y過(2,0)點時,即x=2,y=0時,z=x-y取最大值2.