Jeremy opens a chocolate shop in the city. he pays $1,500 a month for rent and maintenance of the shop. the price of raw materials and manufacturing the chocolates is $6,000 a month. he sells the chocolates individually and in boxes of a dozen. jeremy understands that his business needs a little time to become a success and decides that he wants to build a customer base initially. he is happy to break even for the first year. after a year, jeremy prices his chocolates at $3 apiece. he offers a discount of 10% on boxes of chocolate to promote the sale of boxes. how many boxes of chocolate would he have to sell to recover the cost of running the business this year per month? (assume that he sells no individual chocolates.)
a. 188 boxes
b. 208 boxes
c. 226 boxes
d. 232 boxes

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step-by-step explanation:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.