Q294 · Practice questionTechnology-activeComplex familiar5 marks
QUESTION 294 (5 marks)
The marginal production cost of souvenir pins is modelled by dollars per pin, for . The fixed cost is dollars.
a)[3 marks]
Determine .
b)[2 marks]
Determine the extra cost of increasing production from to pins, to the nearest cent.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
a) . b) $$86.73$.
Worked solution
a) Integrate each term and apply .
b) .
Exact answers unless rounding is specified; equivalent forms accepted.
a) Integrates the polynomial terms.
a) Integrates the reciprocal term.
a) Uses the fixed cost.
b) Calculates the difference C(60)-C(40).
b) Gives the cost to the nearest cent.
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
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