For a small bakery, the daily revenue (in rupees) from selling x cakes is modelled by R(x)=50x−0.5x2 and the daily cost (in rupees) is C(x)=10x+150.
(i) Form the profit polynomial P(x) in terms of x.
(ii) Simplify P(x).
(iii) Find the profit when x=60 cakes are produced and sold.
(iv) State the degree and the leading coefficient of the profit polynomial.
a. (i) Profit expression.
b. (ii) Simplify.
c. (iii) Evaluate at x=60.
d. (iv) Degree and leading coefficient.