linear programming

[angie luzon]

please help if someone knows how to solve this problem.

A wholesaler has 24,000ft² of storage space available and $200,000 that can be spend for merchandise of type A and type B. Each unit of type A costs $40 and requires 6ft² of storage space and each unit of type B costs $80 and requires 8ft² of storage space. If the wholesaler expects a profit of $20 per unit of type A and $45 per unit of type B, how many units of each should be bought and stocked in order to maximize profit? Solve by: a)graphical method and simplex method of linear programming.

thank you so much in advance ,,,,,

[cans]

let a and b units of A and B respectively.
profit = 20a + 45b
also 40a+80b = 200,000 or a+2b = 5,000
and 6a+8b=24000 or 3a+4b = 12000
solving these 2, a=2000 or b=1500

[gmatclubmember]

let a and b units of A and B respectively.
profit = 20a + 45b
also 40a+80b = 200,000 or a+2b = 5,000
and 6a+8b=24000 or 3a+4b = 12000
solving these 2, a=2000 or b=1500

Cans:
Even I took the same approach but I am wondering where did we put any funda to maximize the profits?
Though the profit that we get by solving the above equations does give us the max profit but still we didnt really maximize or minimize the profits,but the solution still happens to be the max profits?

Cheers
Ami/-