2025 MGS(S) PRELIMS P1 Q15

2025 MGS(S) PRELIMS P1 Q15

Secondary 4
3 marks

The revenue, \(y\) dollars, of a company for selling \(x\) items is given by \(y=80x-x^2\), for \(0\leq x\leq80\).

  1. Sketch the graph of \(y=80x-x^2\) for \(0\leq x\leq80\), showing its turning point and its \(x\)- and \(y\)-intercepts.[2]
  2. The company claims that it is possible to make a revenue of $2000. Using your graph, determine whether this statement is correct.[1]

Solution:

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Answer:(a) intercepts \((0,0),(80,0)\), maximum \((40,1600)\) (b) No

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