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.
a. (i) Find the revenue when x=5. Interpret your answer in the given context.
b. (ii) Verify whether selling 10 hundred units results in zero revenue.
c. (iii) Given that selling 1 hundred unit results in zero revenue, factorise R(x) completely.
d. (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.