A company’s revenue (in thousands of rupees) from selling a product is modelled by…
MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
A company’s revenue (in thousands of rupees) from selling a product is modelled by the polynomial
R(x)=x3−4x2−7x+10,
where x denotes the number of hundreds of units sold.
(i) Find the revenue when x=5. Interpret your answer in the given context.
(ii) Verify whether selling 10 hundred units results in zero revenue.
(iii) Given that selling 1 hundred unit results in zero revenue, factorise R(x) completely.
(iv) Using your factorisation, find all positive integral values of x (in hundreds) for which the revenue becomes zero, and interpret each value in the context of the company’s sales.