A Stella is planning to start a small business selling cosmetics gift boxes
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
1. a Stella is planning to start a small business selling cosmetics gift boxes. She plans to start by selling 30 boxes in the first month. In each subsequent month she plans to sell 10 more boxes than in the previous month.
i According to Stella's plan, how many boxes will she sell in the 12th month?
ii How many boxes will she sell in the first year?
iii In which month will she sell her 2000th box?
2. b Giulio also sells cosmetics gift boxes. He also sells 30 boxes in the first month, but expects to increase his sales by 10% each month.
i How many boxes will Giulio sell in the first year?
ii In which month will Giulio first sell more than 100 boxes?
3. c Stella makes a profit of £2.20 per box and Giulio makes a profit of £3.10 per box.
i Find the profit each person makes in the first year.
ii In which month will Giulio's total profit first overtake Stella's?
(a) Stella is planning to start a small business selling cosmetics gift boxes. She plans to start by selling 30 boxes in the first month. In each subsequent month she plans to sell 10 more boxes than in the previous month.
i According to Stella's plan, how many boxes will she sell in the 12th month?
ii How many boxes will she sell in the first year?
iii In which month will she sell her 2000th box?
(b) Giulio also sells cosmetics gift boxes. He also sells 30 boxes in the first month, but expects to increase his sales by 10% each month.
i How many boxes will Giulio sell in the first year?
ii In which month will Giulio first sell more than 100 boxes?
(c) Stella makes a profit of £2.20 per box and Giulio makes a profit of £3.10 per box.
i Find the profit each person makes in the first year.
ii In which month will Giulio's total profit first overtake Stella's?