本题目来源于试卷: IB MAI HL Functions Topic 2.2 Applications of Functions，类别为 IB数学
[问答题]
Two carpet cleaning comxs0e .ulf(9bzp i6czk jgw:4 n2:) cwcp nsm*j rrh;)rp4h1+eu 5kxr)hanies have different pricing structures. CarpetShine charges 1.801.80 AUD per square metre, plus an upfront schedulingu 4+;r 5ephr rhn*)j1kx)s hrm fee of 5050 AUD. CleanMaster has no scheduling a service fee, but the rate is 2.50 AUD per square metre. Let $C_1$(x) and $C_2$(x) be the costs, in AUD, of cleaning x square metres of carpet area by CarpetShine and CleanMaster respectively.
1.Write down expressions for the costs, $C_1$ and $C_2$, of cleaning x square metres of carpet area.
2.Find the least number of whole square metres of carpet area cleaned by CarpetShineCarpetShine for its servicesservices to be a cheaper option.
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