Lynn is selling cushions as part of an enterprise project. On her first attempt, she sold 80 cushions at the cost of £15 each. She hopes to sell more cushions next time. Her adviser
suggests that she can expect to sell 10 more cushions for every £l that she lowers the price
a The number of cushions sold e can be modelled by the equation c = 230 – Hp, where £p is the price of each cushion and H is a constant. Determine the value of H
To model her total revenue, £r, Lynn multiplies the number of cushions sold by the price of
each cushion. She writes this as r = p(230 - Hp).
b Rearrange r into the form A - B(p - C), where A, B and C are constants to be
found.
(3 marks
c Using your answer to part b or otherwise, show that Lynn can increase her revenue by £122.50
through lowering her prices, and state the optimum selling price of a cushion.
9
(2 mark

square root

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

step-by-step explanation:

for the free