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Answer:
(a) Linear model
Subject to:
(b) Standard form:
Subject to:
Explanation:
Given
Solving (a): Formulate a linear programming model
From the question, we understand that:
A has a profit of $9 while B has $7
So, the linear model is:
Subject to:
Where:
Solving (b): The model in standard form:
To do this, we introduce surplus and slack variable "s"
For 
inequalities, we add surplus (add s)
Otherwise, we remove slack (minus s)
So, the standard form is:
So, the linear model is:
Subject to:
Is this the whole question?
Answer:
Stratified random sampling.
Explanation:
Startified random sampling is one that divides the total population into subpopulations and analysis of each subpopulation is done to measure variations between them.
Each subpopulation is adequately represented in the whole sample used for study. For example when a population bis divide based on age into 18-30 years, 31-50 years, and 51 years and above.
The researcher divides all the current students into groups based on their class standing (freshman, sophomores, etc.). Then, she randomly draws a sample of 50 students from each of these groups to create a representative sample of the entire student body in the school.
This is use of stratified random sampling.
