A company expects to sell 20000 computers in the first year if the price of each computer is £650. Let x represent the number of £’s by which the price has decreased.
a Write an expression for the price, p, of one computer, in the form p = a + bx. The company expects to sell an additional 50 computers every time the price decreases by £1.
b Write an expression for the number of computers sold, C, in the form C = d + ex. Revenue is defined by the formula, revenue = (number of computers sold) × (cost of one computer)
c Write an equation for revenue, r, in the form A – B(x – C) 2 , where A, B and C are constants to be found. The company wishes to maximise the revenue.
d Using your answer to part c, or othwerwise, state the price the company should charge for each computer and the revenue they will attain.
a Write an expression for the price, p, of one computer, in the form p = a + bx. The company expects to sell an additional 50 computers every time the price decreases by £1.
b Write an expression for the number of computers sold, C, in the form C = d + ex. Revenue is defined by the formula, revenue = (number of computers sold) × (cost of one computer)
c Write an equation for revenue, r, in the form A – B(x – C) 2 , where A, B and C are constants to be found. The company wishes to maximise the revenue.
d Using your answer to part c, or othwerwise, state the price the company should charge for each computer and the revenue they will attain.