a new make of personel organizer costs $100 each to manufacture and market. market research indicates that the number, N thousand, of organizers that will be sold in the first year is given by; N=-1S+150, where $S is the selling price. the numbers which wll be sold at two particular selling prices are as given below
S N
120 30
140 10
a. express the profit per organizer in terms of S and hence show that the total profit in the first year is $T thousands, where T=-15000+250 S-S^2
b. find the selling price, which will produce the maximum possible total profit in the first year and find this total profit( you should show that this profit is maximum and not minimum)?