a)Repi Soap Company wishes to make a new detergent from two of its current soaps: Soap A and soap B. The new mixture must weight no more than 4 pounds and is t

Question

Linear Programming

Answer 1

A+B <= 4 where A and B represent the weight in pounds of each soap.

B <= 4 - x

 

Since you said Linear Programming

 

we will need to know the profits earned from each type of soap

as well as  constraints on production quantity and production time.

 

From the profit amounts you write the Profit function as

Profit (A,B) =   aA = bB where a and b are the profits earned

from each type of soap.

 

Write those linear equations, graph them at www.desmos.com

with A on the x-axis and B on the y-axis.

That is, you will need to write each linear equality as B <= mA + k where

m is the slope and k is the intercept.

 

Locate the vertices of the critical region and plug it into the profit function.