The model function linking the price €p of a hand-painted plate
to the quantity sold each day
at that price. Q, is given by the
model function
Q(p) = 175 - 3.5p.
The cost of producing one plate is
€5 and the company has a fixed
cost of €875 per day in producing
these plates.
a Find the modelling function
for the money made by the
company when the plates are
sold at €p.
b Find the modelling function
for the costs of the company.
c Hence find the modelling
function for the profit of the
company, and use it to find
Lemaximum daily profit.​