Please help.

Question

A factory produces 2 types of paint, interior and exterior.
Raw materials for both the paint is A and B, each of which is available to a maximum of 6 tons and 8 tons per day.
Interior paint daily demand is higher than the exterior paint, but not more than 1 ton per day.
the maximum interior paint requests per day is 2 tons.
Interior paint prices = 3000
Exterior paint prices = 2000

How much does each paint to be in production by the factory to maximize the gross income?

Answer 1

Dear The,

 

Let P equal production by the company

 

6A + 8B = P

 

then to incorporate the pricing:

 

6A (3000)  + 8B (2000) = P

 

The problem says that A max = 2 so that means the company will have to make at least 2 tons per day to keep up with demand.  So that means B is only 1 ton less, or 1. 

 

So the company must make 2 tons of A and 1 ton of B to keep up with demand.  

 

6*2* 3000 + 8*1* 2000 = P

 

3000 (12)  + 2000 (8) = P

 

36,000  + 16,000 = 52,000   so  P = 52,000 to keep up with demand.