mini warehouse company is planning to expand its successful london business to manchester. in doing so the company must determine how many sotrage rooms of size to build they have an advetising budget avaliable of 4000 GBP which can be spread as 20GBP per large storage room and 40GBP per small storage room. the sqaure footage require for the large is 100 GBP and for the small is 50 GBP

contraints below :

products offered ($)

departments large storage room (x1) small storage room (X2) avaliable resources

adv.budget avaliable 20 40 4000 GBP

sqaure footage required 100 50 8000 square meters

profit per unit 50 20

a/ present the complete problem mathmatically

b/ use presented figure as help and determine the denoted points : A (), B(), e()< and determine the feasible area.

c/how can they maximise the profit under the defined constraints ? determine the denoted points D(), and add the maimum profit in the presented case.